---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
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abstract:
- lang: eng
  text: We present a discretization of the dynamic optimal transport problem for which
    we can obtain the convergence rate for the value of the transport cost to its
    continuous value when the temporal and spatial stepsize vanish. This convergence
    result does not require any regularity assumption on the measures, though experiments
    suggest that the rate is not sharp. Via an analysis of the duality gap we also
    obtain the convergence rates for the gradient of the optimal potentials and the
    velocity field under mild regularity assumptions. To obtain such rates we discretize
    the dual formulation of the dynamic optimal transport problem and use the mature
    literature related to the error due to discretizing the Hamilton-Jacobi equation.
acknowledgement: 'The authors would like to thank Chris Wojtan for his continuous
  support and several interesting discussions. Part of this research was performed
  during two visits: one of SI to the BIDSA research center at Bocconi University,
  and one of HL to the Institute of Science and Technology Austria. Both host institutions
  are warmly acknowledged for the hospitality. HL is partially supported by the MUR-Prin
  2022-202244A7YL “Gradient Flows and Non-Smooth Geometric Structures with Applications
  to Optimization and Machine Learning”, funded by the European Union - Next Generation
  EU. SI is supported in part by ERC Consolidator Grant 101045083 “CoDiNA” funded
  by the European Research Council. Open access funding provided by Institute of Science
  and Technology (IST Austria).'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sadashige
  full_name: Ishida, Sadashige
  id: 6F7C4B96-A8E9-11E9-A7CA-09ECE5697425
  last_name: Ishida
  orcid: 0000-0002-3121-3100
- first_name: Hugo
  full_name: Lavenant, Hugo
  last_name: Lavenant
citation:
  ama: Ishida S, Lavenant H. Quantitative convergence of a discretization of dynamic
    optimal transport using the dual formulation. <i>Foundations of Computational
    Mathematics</i>. 2026;26:349-384. doi:<a href="https://doi.org/10.1007/s10208-024-09686-3">10.1007/s10208-024-09686-3</a>
  apa: Ishida, S., &#38; Lavenant, H. (2026). Quantitative convergence of a discretization
    of dynamic optimal transport using the dual formulation. <i>Foundations of Computational
    Mathematics</i>. Springer Nature. <a href="https://doi.org/10.1007/s10208-024-09686-3">https://doi.org/10.1007/s10208-024-09686-3</a>
  chicago: Ishida, Sadashige, and Hugo Lavenant. “Quantitative Convergence of a Discretization
    of Dynamic Optimal Transport Using the Dual Formulation.” <i>Foundations of Computational
    Mathematics</i>. Springer Nature, 2026. <a href="https://doi.org/10.1007/s10208-024-09686-3">https://doi.org/10.1007/s10208-024-09686-3</a>.
  ieee: S. Ishida and H. Lavenant, “Quantitative convergence of a discretization of
    dynamic optimal transport using the dual formulation,” <i>Foundations of Computational
    Mathematics</i>, vol. 26. Springer Nature, pp. 349–384, 2026.
  ista: Ishida S, Lavenant H. 2026. Quantitative convergence of a discretization of
    dynamic optimal transport using the dual formulation. Foundations of Computational
    Mathematics. 26, 349–384.
  mla: Ishida, Sadashige, and Hugo Lavenant. “Quantitative Convergence of a Discretization
    of Dynamic Optimal Transport Using the Dual Formulation.” <i>Foundations of Computational
    Mathematics</i>, vol. 26, Springer Nature, 2026, pp. 349–84, doi:<a href="https://doi.org/10.1007/s10208-024-09686-3">10.1007/s10208-024-09686-3</a>.
  short: S. Ishida, H. Lavenant, Foundations of Computational Mathematics 26 (2026)
    349–384.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-12-21T10:14:37Z
date_published: 2026-02-01T00:00:00Z
date_updated: 2026-10-02T11:17:26Z
day: '01'
ddc:
- '000'
department:
- _id: GradSch
- _id: ChWo
doi: 10.1007/s10208-024-09686-3
external_id:
  arxiv:
  - '2312.12213'
  isi:
  - '001352503300001'
file:
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  creator: dernst
  date_created: 2026-07-23T05:37:52Z
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  file_id: '22384'
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file_date_updated: 2026-07-23T05:37:52Z
fulldoi: https://doi.org/10.1007/s10208-024-09686-3
has_accepted_license: '1'
intvolume: '        26'
isi: 1
keyword:
- Optimal transport
- Hamilton-Jacobi equation
- convex optimization
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 349-384
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
  grant_number: '101045083'
  name: Computational Discovery of Numerical Algorithms for Animation and Simulation
    of Natural Phenomena
publication: Foundations of Computational Mathematics
publication_identifier:
  eissn:
  - 1615-3383
  issn:
  - 1615-3375
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Quantitative convergence of a discretization of dynamic optimal transport using
  the dual formulation
tmp:
  image: /images/cc_by.png
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  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 26
year: '2026'
...
---
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_id: '22804'
abstract:
- lang: eng
  text: 'Embryo cleavage — a series of rapid, reductive cell divisions — is the first
    morphogenetic movement following fertilisation. It lays the foundation for subsequent
    developmental events, including gastrulation, germ layer specification, organogenesis,
    and the establishment of the overall body plan. Two major modes of cleavage exist
    in the animal kingdom: holoblastic (complete) and meroblastic (incomplete) cleavage.
    Because holoblastic cleavage resembles canonical cytokinesis, its biochemical
    and mechanical basis has been extensively studied — an annular contractile ring
    forms at the equator and constricts in a purse-string-like manner, leading to
    the complete separation of two daughter cells. In contrast, although meroblastic
    cleavage occurs widely across the animal kingdom (e.g. in fish, reptiles, birds,
    and cephalopod molluscs), its mechanical basis remains largely unclear. During
    meroblastic cleavage, the cytokinetic furrow forms only at one pole and does not
    traverse the entire embryo, raising the question of how cytokinesis proceeds in
    the absence of a closed contractile ring. Moreover, the resulting daughter cells
    are not fully separated from the underlying yolk compartment, and how these blastomeres
    are subsequently cellularised remains unknown. This thesis takes the zebrafish
    as a model organism to address both questions. The first part characterises the
    biochemical and mechanical mechanisms underlying non-canonical meroblastic cleavage,
    revealing a two-phase process in which actomyosin cable contraction and cadherin-mediated
    membrane adhesion act sequentially to drive furrow ingression and invagination.
    The second part sheds light on the spatiotemporal dynamics by which individual
    blastomeres become cellularised, and uncovers a previously unrecognised contribution
    of central blastomeres to the yolk syncytial layer.'
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
acknowledgement: "I gratefully acknowledge the NOMIS Stiftung (Project ID 5061.844,
  Cytoplasmic\r\nself-organization into cell-like compartments as a common guiding
  principle in\r\nearly animal development) for funding my doctoral studies."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Xin
  full_name: Tong, Xin
  id: 50F65CDC-AA30-11E9-A72B-8A12E6697425
  last_name: Tong
citation:
  ama: Tong X. Towards a deeper understanding of meroblastic cleavage. 2026. doi:<a
    href="https://doi.org/10.15479/AT-ISTA-22804">10.15479/AT-ISTA-22804</a>
  apa: Tong, X. (2026). <i>Towards a deeper understanding of meroblastic cleavage</i>.
    Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT-ISTA-22804">https://doi.org/10.15479/AT-ISTA-22804</a>
  chicago: Tong, Xin. “Towards a Deeper Understanding of Meroblastic Cleavage.” Institute
    of Science and Technology Austria, 2026. <a href="https://doi.org/10.15479/AT-ISTA-22804">https://doi.org/10.15479/AT-ISTA-22804</a>.
  ieee: X. Tong, “Towards a deeper understanding of meroblastic cleavage,” Institute
    of Science and Technology Austria, 2026.
  ista: Tong X. 2026. Towards a deeper understanding of meroblastic cleavage. Institute
    of Science and Technology Austria.
  mla: Tong, Xin. <i>Towards a Deeper Understanding of Meroblastic Cleavage</i>. Institute
    of Science and Technology Austria, 2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-22804">10.15479/AT-ISTA-22804</a>.
  short: X. Tong, Towards a Deeper Understanding of Meroblastic Cleavage, Institute
    of Science and Technology Austria, 2026.
corr_author: '1'
date_created: 2026-09-04T11:54:20Z
date_published: 2026-07-12T00:00:00Z
date_updated: 2026-10-05T08:56:10Z
day: '12'
ddc:
- '596'
- '532'
- '572'
degree_awarded: PhD
department:
- _id: GradSch
- _id: CaHe
doi: 10.15479/AT-ISTA-22804
doi_confirm: '1'
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fulldoi: https://doi.org/10.15479/AT-ISTA-22804
has_accepted_license: '1'
keyword:
- meroblastic cleavage
- cytokinesis
- active gel theory
- embryogenesis
- zebrafish
- adhesion
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '07'
oa: 1
oa_version: Published Version
page: '121'
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- _id: 917c023a-16d5-11f0-9cad-eb5cafc52090
  name: Cytoplasmic self-organization into cell-like compartments as a common guiding
    principle in early animal development
publication_identifier:
  isbn:
  - 978-3-99078-080-0
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
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researchdata_availability: upon request
status: public
supervisor:
- first_name: Carl-Philipp J
  full_name: Heisenberg, Carl-Philipp J
  id: 39427864-F248-11E8-B48F-1D18A9856A87
  last_name: Heisenberg
  orcid: 0000-0002-0912-4566
title: Towards a deeper understanding of meroblastic cleavage
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type: dissertation
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year: '2026'
...
---
OA_place: repository
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acknowledged_ssus:
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- _id: LifeSc
article_processing_charge: No
author:
- first_name: Xin
  full_name: Tong, Xin
  id: 50F65CDC-AA30-11E9-A72B-8A12E6697425
  last_name: Tong
citation:
  ama: Tong X. Towards a deeper understanding of meroblastic cleavage - supplementary
    movies. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-22777">10.15479/AT-ISTA-22777</a>
  apa: Tong, X. (2026). Towards a deeper understanding of meroblastic cleavage - supplementary
    movies. Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT-ISTA-22777">https://doi.org/10.15479/AT-ISTA-22777</a>
  chicago: Tong, Xin. “Towards a Deeper Understanding of Meroblastic Cleavage - Supplementary
    Movies.” Institute of Science and Technology Austria, 2026. <a href="https://doi.org/10.15479/AT-ISTA-22777">https://doi.org/10.15479/AT-ISTA-22777</a>.
  ieee: X. Tong, “Towards a deeper understanding of meroblastic cleavage - supplementary
    movies.” Institute of Science and Technology Austria, 2026.
  ista: Tong X. 2026. Towards a deeper understanding of meroblastic cleavage - supplementary
    movies, Institute of Science and Technology Austria, <a href="https://doi.org/10.15479/AT-ISTA-22777">10.15479/AT-ISTA-22777</a>.
  mla: Tong, Xin. <i>Towards a Deeper Understanding of Meroblastic Cleavage - Supplementary
    Movies</i>. Institute of Science and Technology Austria, 2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-22777">10.15479/AT-ISTA-22777</a>.
  short: X. Tong, (2026).
corr_author: '1'
date_created: 2026-09-03T10:48:15Z
date_published: 2026-09-04T00:00:00Z
date_updated: 2026-10-05T08:56:09Z
day: '4'
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- _id: CaHe
doi: 10.15479/AT-ISTA-22777
doi_confirm: '1'
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publisher: Institute of Science and Technology Austria
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title: Towards a deeper understanding of meroblastic cleavage - supplementary movies
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...
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abstract:
- lang: eng
  text: Alkali salts are widely used in solution processing, yet the corresponding
    cations are often assumed to remain in the liquid phase. Here, we show that alkali
    ions introduced during the solution synthesis of SnSe are retained through particle
    isolation and continue to influence the material during subsequent thermal processing,
    where they shape the evolution of the final polycrystalline material. Different
    SnSe powders were prepared using Li+, Na+, and K+ precursors, as well as tetramethylammonium
    (TMA+) precursors as a nonalkali reference for comparison, and all samples were
    consolidated under identical conditions. Although all three alkali ions were found
    in the matrix, at grain boundaries, and in segregated nanoscale regions, they
    partitioned differently and resulted in distinct grain sizes, defect distributions,
    and therefore transport properties. Li induced the strongest grain size heterogeneity
    and the lowest energy barriers, Na the best overall balance between carrier concentration
    and mobility, and K the broadest alkali-rich grain boundary regions along with
    the strongest interfacial penalty to charge carrier transport. These results show
    that residual alkali ions are not just remnants of solution synthesis but active
    determinants of microstructure and thermoelectric performance in SnSe.
acknowledged_ssus:
- _id: EM-Fac
- _id: NanoFab
acknowledgement: "ISTA and the Werner Siemens Foundation financially supported this
  work. The Scientific Service Units (SSU) of ISTA supported this research through
  resources provided by the Electron Microscopy Facility (EMF), Juan Aguilera Servin
  from the Nanofabrication facility (NNF). Special acknowledgments to the Ibá\r\nez
  group for their fruitful discussions and insights. K.M. acknowledges the European
  Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
  grant agreement No. 101034413 and PETRAIII at DESY for the synchrotron X-ray measurements
  under proposal No. I-20241048 EC. JL is a Serra Húnter Fellow and is grateful to
  the Academia Excellence program (Generalitat de Catalunya), project PID2024-156765OB-C21
  funded by MICIU/AEI/10.13039/501100011033 and the European Regional Development
  Fund (FEDER), and María de Maeztu Units of Excellence Programme CEX2023-001300
  M, funded by MCIN/AEI 10.13039/501100011033. VG and SD acknowledge the use of resources
  of the National Energy Research Scientific Computing Center, a DOE Office of Science
  User Facility supported by the Office of Science of the U.S. Department of Energy
  under Contract No. DE-AC02-05CH11231. Y.L. acknowledges funding from the European
  Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie
  grant agreement No. 754411, the National Natural Science Foundation of China (NSFC)
  (Grants No. 22209034)."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Christine
  full_name: Fiedler, Christine
  id: bd3fceba-dc74-11ea-a0a7-c17f71817366
  last_name: Fiedler
- first_name: Sharona
  full_name: Horta, Sharona
  id: 03a7e858-01b1-11ec-8b71-99ae6c4a05bc
  last_name: Horta
- first_name: Navita
  full_name: Navita, Navita
  id: 6ebe278d-ba0b-11ee-8184-f34cdc671de4
  last_name: Navita
  orcid: 0000-0001-7408-8197
- first_name: Krishnendu
  full_name: Maji, Krishnendu
  id: 76bc9e9f-ba0b-11ee-8184-90edabd17a58
  last_name: Maji
- first_name: Tobias
  full_name: Kleinhanns, Tobias
  id: 8BD9DE16-AB3C-11E9-9C8C-2A03E6697425
  last_name: Kleinhanns
  orcid: 0000-0003-1537-7436
- first_name: Jordi
  full_name: Llorca, Jordi
  last_name: Llorca
- first_name: Qi
  full_name: Wang, Qi
  id: 0d37923a-aca1-11ef-951f-fd411b71d5f0
  last_name: Wang
- first_name: Maria Garcia
  full_name: Ramon, Maria Garcia
  id: 1ffff7cd-ed76-11ed-8d5f-be5e7c364eb9
  last_name: Ramon
- first_name: Sambit
  full_name: Das, Sambit
  last_name: Das
- first_name: Vikram
  full_name: Gavini, Vikram
  last_name: Gavini
- first_name: Yu
  full_name: Liu, Yu
  id: 2A70014E-F248-11E8-B48F-1D18A9856A87
  last_name: Liu
  orcid: 0000-0001-7313-6740
- first_name: Maria
  full_name: Ibáñez, Maria
  id: 43C61214-F248-11E8-B48F-1D18A9856A87
  last_name: Ibáñez
  orcid: 0000-0001-5013-2843
citation:
  ama: Fiedler C, Horta S, Jakhar N, et al. Alkali ions retained from synthesis govern
    microstructure and transport in solution-processed SnSe. <i>Chemistry of Materials</i>.
    2026;38(18):9323–9332. doi:<a href="https://doi.org/10.1021/acs.chemmater.6c01284">10.1021/acs.chemmater.6c01284</a>
  apa: Fiedler, C., Horta, S., Jakhar, N., Maji, K., Kleinhanns, T., Llorca, J., …
    Ibáñez, M. (2026). Alkali ions retained from synthesis govern microstructure and
    transport in solution-processed SnSe. <i>Chemistry of Materials</i>. American
    Chemical Society. <a href="https://doi.org/10.1021/acs.chemmater.6c01284">https://doi.org/10.1021/acs.chemmater.6c01284</a>
  chicago: Fiedler, Christine, Sharona Horta, Navita Jakhar, Krishnendu Maji, Tobias
    Kleinhanns, Jordi Llorca, Qi Wang, et al. “Alkali Ions Retained from Synthesis
    Govern Microstructure and Transport in Solution-Processed SnSe.” <i>Chemistry
    of Materials</i>. American Chemical Society, 2026. <a href="https://doi.org/10.1021/acs.chemmater.6c01284">https://doi.org/10.1021/acs.chemmater.6c01284</a>.
  ieee: C. Fiedler <i>et al.</i>, “Alkali ions retained from synthesis govern microstructure
    and transport in solution-processed SnSe,” <i>Chemistry of Materials</i>, vol.
    38, no. 18. American Chemical Society, pp. 9323–9332, 2026.
  ista: Fiedler C, Horta S, Jakhar N, Maji K, Kleinhanns T, Llorca J, Wang Q, Ramon
    MG, Das S, Gavini V, Liu Y, Ibáñez M. 2026. Alkali ions retained from synthesis
    govern microstructure and transport in solution-processed SnSe. Chemistry of Materials.
    38(18), 9323–9332.
  mla: Fiedler, Christine, et al. “Alkali Ions Retained from Synthesis Govern Microstructure
    and Transport in Solution-Processed SnSe.” <i>Chemistry of Materials</i>, vol.
    38, no. 18, American Chemical Society, 2026, pp. 9323–9332, doi:<a href="https://doi.org/10.1021/acs.chemmater.6c01284">10.1021/acs.chemmater.6c01284</a>.
  short: C. Fiedler, S. Horta, N. Jakhar, K. Maji, T. Kleinhanns, J. Llorca, Q. Wang,
    M.G. Ramon, S. Das, V. Gavini, Y. Liu, M. Ibáñez, Chemistry of Materials 38 (2026)
    9323–9332.
corr_author: '1'
das_tickbox: '0'
date_created: 2026-09-21T10:33:48Z
date_published: 2026-09-22T00:00:00Z
date_updated: 2026-10-06T12:16:03Z
day: '22'
ddc:
- '540'
department:
- _id: MaIb
- _id: GradSch
- _id: NanoFab
doi: 10.1021/acs.chemmater.6c01284
ec_funded: 1
external_id:
  pmid:
  - '42787739'
file:
- access_level: open_access
  checksum: 15e7866ca4fd57f5526737945651a6f2
  content_type: application/pdf
  creator: dernst
  date_created: 2026-10-06T12:11:04Z
  date_updated: 2026-10-06T12:11:04Z
  file_id: '23063'
  file_name: 2026_ChemistryMaterials_Fiedler.pdf
  file_size: 7461570
  relation: main_file
  success: 1
file_date_updated: 2026-10-06T12:11:04Z
fulldoi: https://doi.org/10.1021/acs.chemmater.6c01284
has_accepted_license: '1'
intvolume: '        38'
issue: '18'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 9323–9332
pmid: 1
project:
- _id: 9B8F7476-BA93-11EA-9121-9846C619BF3A
  name: 'HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of
    Semiconductors for Waste Heat Recovery'
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Chemistry of Materials
publication_identifier:
  eissn:
  - 1520-5002
  issn:
  - 0897-4756
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Alkali ions retained from synthesis govern microstructure and transport in
  solution-processed SnSe
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 38
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22963'
abstract:
- lang: eng
  text: Although studies of tumor invasion have mainly emphasized the evolution of
    genetic and epigenetic heterogeneity, cellular behaviors also depend on the physical
    microenvironment. Yet, the tumor microenvironment is both complex and continuously
    remodeled, making it hard to rigorously test its causal influence on tumor dissemination.
    Here, we adopted a reductionist approach to studying tumor cell invasion in microengineered
    environments of tunable patterned geometries. We find that not only the presence
    of obstacles but more unexpectedly their spatial disorder causes a drastic shift
    from a collective to a single-cell mode of invasion—comparable in strength to
    loss of cell-cell adhesion. Combining live-imaging and perturbation experiments
    with minimal biophysical modeling, we demonstrate that cell dissemination results
    both from local geometrical constraints and a global integration of spatial disorder
    over time. We identify generic universality classes of invasion dynamics dependent
    on environmental geometry, enabling us to identify quantitative physical principles
    for tumor dissemination.
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
acknowledgement: 'We thank all the members of the Hannezo and Sixt groups for fruitful
  discussions and t. Kato for advice on the experimental setup. We are also thankful
  for support from the Scientific Service Units (SSU) of IST Austria through resources
  provided by the imaging and Optics Facility (iOF) and the Lab Support Facility (lSF).
  We used chatGPt (GPt- 5,OpenAi, 2025) to make minor grammatical and stylistic revisions
  to the original manuscript, which was written by us. We carefully reviewed and verified
  all changes and are solely responsible for all scientific content, data, interpretation,
  and conclusions. Funding: Z.D. has received funding from the Doctoral Programme
  of the Austrian Academy of Sciences (OeAW):grant agreement 26360. this work was
  supported by the European Research council (grant ERC- SyG 101071793 to M.S.). E.S.
  and R.P.J. are supported by the Francis Crick Institute, which receives its core
  funding from cancer Research UK (cc2040), the UK Medical Research council(cc2040),
  and the Wellcome trust (cc2040) and the European Research council (ERC Advanced
  Grant cAn_ORGAniSe, grant agreement number 101019366).'
article_number: eaed0587
article_processing_charge: Yes
article_type: original
author:
- first_name: Zuzana
  full_name: Dunajova, Zuzana
  id: 4B39F286-F248-11E8-B48F-1D18A9856A87
  last_name: Dunajova
- first_name: Saren
  full_name: Tasciyan, Saren
  id: 4323B49C-F248-11E8-B48F-1D18A9856A87
  last_name: Tasciyan
  orcid: 0000-0003-1671-393X
- first_name: Juraj
  full_name: Majek, Juraj
  id: 3e6d9473-f38e-11ec-8ae0-c4e05a8aa9e1
  last_name: Majek
- first_name: Jack
  full_name: Merrin, Jack
  id: 4515C308-F248-11E8-B48F-1D18A9856A87
  last_name: Merrin
  orcid: 0000-0001-5145-4609
- first_name: Robert P.
  full_name: Jenkins, Robert P.
  last_name: Jenkins
- first_name: Erik
  full_name: Sahai, Erik
  last_name: Sahai
- first_name: Michael K
  full_name: Sixt, Michael K
  id: 41E9FBEA-F248-11E8-B48F-1D18A9856A87
  last_name: Sixt
  orcid: 0000-0002-6620-9179
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
citation:
  ama: Dunajova Z, Tasciyan S, Majek J, et al. Substrate heterogeneity promotes cancer
    cell dissemination through interface roughening. <i>Science Advances</i>. 2026;12(37).
    doi:<a href="https://doi.org/10.1126/sciadv.aed0587">10.1126/sciadv.aed0587</a>
  apa: Dunajova, Z., Tasciyan, S., Majek, J., Merrin, J., Jenkins, R. P., Sahai, E.,
    … Hannezo, E. B. (2026). Substrate heterogeneity promotes cancer cell dissemination
    through interface roughening. <i>Science Advances</i>. AAAS. <a href="https://doi.org/10.1126/sciadv.aed0587">https://doi.org/10.1126/sciadv.aed0587</a>
  chicago: Dunajova, Zuzana, Saren Tasciyan, Juraj Majek, Jack Merrin, Robert P. Jenkins,
    Erik Sahai, Michael K Sixt, and Edouard B Hannezo. “Substrate Heterogeneity Promotes
    Cancer Cell Dissemination through Interface Roughening.” <i>Science Advances</i>.
    AAAS, 2026. <a href="https://doi.org/10.1126/sciadv.aed0587">https://doi.org/10.1126/sciadv.aed0587</a>.
  ieee: Z. Dunajova <i>et al.</i>, “Substrate heterogeneity promotes cancer cell dissemination
    through interface roughening,” <i>Science Advances</i>, vol. 12, no. 37. AAAS,
    2026.
  ista: Dunajova Z, Tasciyan S, Majek J, Merrin J, Jenkins RP, Sahai E, Sixt MK, Hannezo
    EB. 2026. Substrate heterogeneity promotes cancer cell dissemination through interface
    roughening. Science Advances. 12(37), eaed0587.
  mla: Dunajova, Zuzana, et al. “Substrate Heterogeneity Promotes Cancer Cell Dissemination
    through Interface Roughening.” <i>Science Advances</i>, vol. 12, no. 37, eaed0587,
    AAAS, 2026, doi:<a href="https://doi.org/10.1126/sciadv.aed0587">10.1126/sciadv.aed0587</a>.
  short: Z. Dunajova, S. Tasciyan, J. Majek, J. Merrin, R.P. Jenkins, E. Sahai, M.K.
    Sixt, E.B. Hannezo, Science Advances 12 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: ' All data and code needed to evaluate and reproduce the
  results in the paper are present in the paper and/or the Supplementary Materials
  and the associated data and code repositories. Source data underlying all figures
  and supplementary figures have been deposited in a Zenodo repository (DOi: 10.5281/zenodo.21718217)
  and will be made publicly available upon publication. custom simulation and analysis
  codes used in this study are available at https://codeocean.com/capsule/1237446/tree.
  no unique biological materials were generated in this study. Microfluidic mask designs
  generated for this work are available from the corresponding authors upon reasonable
  request.'
date_created: 2026-09-20T22:01:48Z
date_published: 2026-09-09T00:00:00Z
date_updated: 2026-10-06T11:36:34Z
day: '09'
ddc:
- '570'
department:
- _id: EdHa
- _id: MiSi
- _id: GradSch
- _id: AnSa
- _id: NanoFab
doi: 10.1126/sciadv.aed0587
external_id:
  pmid:
  - '42715298'
file:
- access_level: open_access
  checksum: 79f419b659650a39b3dfa58c782690a8
  content_type: application/pdf
  creator: dernst
  date_created: 2026-10-06T11:30:48Z
  date_updated: 2026-10-06T11:30:48Z
  file_id: '23062'
  file_name: 2026_ScienceAdv_Dunajova.pdf
  file_size: 11691064
  relation: main_file
  success: 1
file_date_updated: 2026-10-06T11:30:48Z
fulldoi: https://doi.org/10.1126/sciadv.aed0587
has_accepted_license: '1'
intvolume: '        12'
issue: '37'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 34d75525-11ca-11ed-8bc3-89b6307fee9d
  grant_number: '26360'
  name: Motile active matter models of migrating cells and chiral filaments
- _id: bd91e723-d553-11ed-ba76-fe7eeb2185fd
  grant_number: '101071793'
  name: 'Pushing from within: Control of cell shape, integrity and motility by cytoskeletal
    pushing forces'
publication: Science Advances
publication_identifier:
  eissn:
  - 2375-2548
publication_status: published
publisher: AAAS
quality_controlled: '1'
related_material:
  record:
  - id: '21427'
    relation: earlier_version
    status: public
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: no
title: Substrate heterogeneity promotes cancer cell dissemination through interface
  roughening
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2026'
...
---
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22971'
abstract:
- lang: eng
  text: "We study the problem of minimizing metric distortion in multi-winner elections,
    where a committee of size k is selected from a set of candidates based on voters’
    ordinal preferences. We assume that voters and candidates are embedded on a line
    metric, and social cost is determined by the underlying metric distances.\r\nThe
    distortion of a voting rule is the worst-case ratio between the social cost of
    the elected committee and an optimal committee. Previous work has focused on the
    q-cost model, in which a voter’s cost is given by the distance to their qth closest
    committee member. Here, we study the additive cost, where a voter’s cost is the
    sum of distances to all committee members.\r\nWe introduce the Polar Comparison
    Rule and analyze its distortion under utilitarian additive cost. We show that
    it achieves a distortion upper bound of almost 2.33 for all committee sizes k
    > 4, improving upon the previously best-known upper bound of 3. Moreover, for
    k = 2 and k = 3, we establish tight distortion bounds of 2.41 and 2.33, respectively.
    We also derive lower bounds that depend on the parity of k and analyze the behavior
    of distortion for small and large committee sizes. Finally, we extend our results
    to the egalitarian additive cost."
article_number: '3843232'
article_processing_charge: Yes
article_type: original
author:
- first_name: Negar
  full_name: Babashah, Negar
  id: 95f4864e-6ec9-11f0-b3f6-b8422c64859e
  last_name: Babashah
  orcid: 0009-0007-0203-9725
- first_name: Hasti
  full_name: Karimi, Hasti
  last_name: Karimi
- first_name: Masoud
  full_name: Seddighin, Masoud
  last_name: Seddighin
- first_name: Golnoosh
  full_name: Shahkarami, Golnoosh
  last_name: Shahkarami
citation:
  ama: 'Babashah N, Karimi H, Seddighin M, Shahkarami G. Distortion of multi-winner
    elections on the line metric: The polar comparison rule. <i>ACM Transactions on
    Economics and Computation</i>. 2026. doi:<a href="https://doi.org/10.1145/3843232">10.1145/3843232</a>'
  apa: 'Babashah, N., Karimi, H., Seddighin, M., &#38; Shahkarami, G. (2026). Distortion
    of multi-winner elections on the line metric: The polar comparison rule. <i>ACM
    Transactions on Economics and Computation</i>. ACM. <a href="https://doi.org/10.1145/3843232">https://doi.org/10.1145/3843232</a>'
  chicago: 'Babashah, Negar, Hasti Karimi, Masoud Seddighin, and Golnoosh Shahkarami.
    “Distortion of Multi-Winner Elections on the Line Metric: The Polar Comparison
    Rule.” <i>ACM Transactions on Economics and Computation</i>. ACM, 2026. <a href="https://doi.org/10.1145/3843232">https://doi.org/10.1145/3843232</a>.'
  ieee: 'N. Babashah, H. Karimi, M. Seddighin, and G. Shahkarami, “Distortion of multi-winner
    elections on the line metric: The polar comparison rule,” <i>ACM Transactions
    on Economics and Computation</i>. ACM, 2026.'
  ista: 'Babashah N, Karimi H, Seddighin M, Shahkarami G. 2026. Distortion of multi-winner
    elections on the line metric: The polar comparison rule. ACM Transactions on Economics
    and Computation., 3843232.'
  mla: 'Babashah, Negar, et al. “Distortion of Multi-Winner Elections on the Line
    Metric: The Polar Comparison Rule.” <i>ACM Transactions on Economics and Computation</i>,
    3843232, ACM, 2026, doi:<a href="https://doi.org/10.1145/3843232">10.1145/3843232</a>.'
  short: N. Babashah, H. Karimi, M. Seddighin, G. Shahkarami, ACM Transactions on
    Economics and Computation (2026).
corr_author: '1'
date_created: 2026-09-22T05:37:33Z
date_published: 2026-09-01T00:00:00Z
date_updated: 2026-10-06T12:38:17Z
day: '01'
ddc:
- '000'
department:
- _id: GradSch
doi: 10.1145/3843232
fulldoi: https://doi.org/10.1145/3843232
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1145/3843232
month: '09'
oa: 1
oa_version: Published Version
publication: ACM Transactions on Economics and Computation
publication_identifier:
  eissn:
  - 2167-8383
  issn:
  - 2167-8375
publication_status: epub_ahead
publisher: ACM
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Distortion of multi-winner elections on the line metric: The polar comparison
  rule'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22998'
abstract:
- lang: eng
  text: Balancing selection, a form of selection that maintains genetic diversity,
    is difficult to detect, and the importance of balancing selection for the maintenance
    of genetic variation may be larger than often assumed. We model the possibility
    that the diversity-promoting effects of balancing selection extend to other loci
    that show sign epistasis with a locus under balancing selection. Rather than focusing
    on overdominance, as was done in previous efforts, we explore the effects of negative
    frequency dependence and show that this has important effects on the conditions
    under which the diversity-promoting effect of epistasis can occur in diploids.
    Our results show that not only recombination rate but also the dominance of sign
    epistasis are key parameters that determine the maintenance of polymorphism beyond
    the locus under direct balancing selection. We suggest that the effect we explore
    may play a significant role, especially when balancing selection acts on major
    effect loci.
acknowledgement: This work was funded by grants from the Swedish Research Council
  (2023-03730 to G.A.) and the DOC fellowship from the Austrian Academy of Science
  (26293 to K.K.). We thank L. Rowe for valuable discussions.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Göran
  full_name: Arnqvist, Göran
  last_name: Arnqvist
biorxivid: 1
citation:
  ama: Khudiakova K, Barton NH, Arnqvist G. Sign epistasis extends the effects of
    balancing selection on genetic diversity. <i>Theoretical Population Biology</i>.
    2026;172:48-55. doi:<a href="https://doi.org/10.1016/j.tpb.2026.09.001">10.1016/j.tpb.2026.09.001</a>
  apa: Khudiakova, K., Barton, N. H., &#38; Arnqvist, G. (2026). Sign epistasis extends
    the effects of balancing selection on genetic diversity. <i>Theoretical Population
    Biology</i>. <a href="https://doi.org/10.1016/j.tpb.2026.09.001">https://doi.org/10.1016/j.tpb.2026.09.001</a>
  chicago: Khudiakova, Kseniia, Nicholas H Barton, and Göran Arnqvist. “Sign Epistasis
    Extends the Effects of Balancing Selection on Genetic Diversity.” <i>Theoretical
    Population Biology</i>, 2026. <a href="https://doi.org/10.1016/j.tpb.2026.09.001">https://doi.org/10.1016/j.tpb.2026.09.001</a>.
  ieee: K. Khudiakova, N. H. Barton, and G. Arnqvist, “Sign epistasis extends the
    effects of balancing selection on genetic diversity,” <i>Theoretical Population
    Biology</i>, vol. 172. pp. 48–55, 2026.
  ista: Khudiakova K, Barton NH, Arnqvist G. 2026. Sign epistasis extends the effects
    of balancing selection on genetic diversity. Theoretical Population Biology. 172,
    48–55.
  mla: Khudiakova, Kseniia, et al. “Sign Epistasis Extends the Effects of Balancing
    Selection on Genetic Diversity.” <i>Theoretical Population Biology</i>, vol. 172,
    2026, pp. 48–55, doi:<a href="https://doi.org/10.1016/j.tpb.2026.09.001">10.1016/j.tpb.2026.09.001</a>.
  short: K. Khudiakova, N.H. Barton, G. Arnqvist, Theoretical Population Biology 172
    (2026) 48–55.
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: The Python code used for the numerical analyses is available
  online at https://github.com/khudyakovaks/Sign-epistasis-extends-the-effects-of-balancing-selection-on-genetic-diversity.
date_created: 2026-09-27T22:01:51Z
date_published: 2026-09-17T00:00:00Z
date_updated: 2026-10-07T06:38:02Z
day: '17'
ddc:
- '500'
- '570'
department:
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- _id: GradSch
- _id: NiBa
doi: 10.1016/j.tpb.2026.09.001
external_id:
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  pmid:
  - '42722132'
fulldoi: https://doi.org/10.1016/j.tpb.2026.09.001
has_accepted_license: '1'
intvolume: '       172'
keyword:
- Sign epistasis
- Balancing selection
- Within-population genetic variation
language:
- iso: eng
main_file_link:
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month: '09'
oa: 1
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page: 48-55
pmid: 1
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publication: Theoretical Population Biology
publication_identifier:
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  issn:
  - 0040-5809
publication_status: epub_ahead
quality_controlled: '1'
related_material:
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researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Sign epistasis extends the effects of balancing selection on genetic diversity
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: journal_article
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volume: 172
year: '2026'
...
---
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abstract:
- lang: eng
  text: "A famous conjecture by Itai and Zehavi states that, for every \U0001D451\r\n-vertex-connected
    graph \U0001D43A\r\n and every vertex \U0001D45F\r\n in \U0001D43A\r\n, there
    are \U0001D451\r\n spanning trees of \U0001D43A\r\n such that, for every vertex
    \U0001D463\r\n in \U0001D43A ∖{\U0001D45F}\r\n, the paths between \U0001D45F\r\n
    and \U0001D463\r\n in different trees are internally vertex-disjoint. We show
    that with high probability the Itai–Zehavi conjecture holds asymptotically for
    the Erdős–Rényi random graph \U0001D43A⁡(\U0001D45B,\U0001D45D)\r\n when \U0001D45B⁢\U0001D45D
    =\U0001D714⁡(log⁡\U0001D45B)\r\n and for random regular graphs \U0001D43A⁡(\U0001D45B,\U0001D451)\r\n
    when \U0001D451 =\U0001D714⁡(log⁡\U0001D45B)\r\n. Moreover, we essentially confirm
    the conjecture up to a constant factor for sparser random regular graphs. This
    answers a question of Draganić and Krivelevich positively. Our proof makes use
    of recent developments on sprinkling techniques in random regular graphs."
acknowledgement: "Hollom was supported by the Internal Graduate Studentship of Trinity
  College, Cambridge. Mond was supported by UK Research and Innovation grant MR/W007320/2.
  Wang was supported by the ERC Starting Grant “RANDSTRUCT” No. 101076777. Lichev
  was supported by the Austrian Science Fund (FWF) [10.55776/ESP624]. For open access
  purposes, the authors have applied a CC BY public copyright license to any author-accepted
  manuscript version arising from this submission. Open Access funding provided by
  Technische Universitat Wien.\r\n\r\nPart of this research was done during a visit
  of the fourth author to IST Austria. We thank IST Austria for its hospitality. We
  also thank the anonymous referees for their comments and suggestions. Open Access
  funding provided by Technische Universitat Wien. This work was supported by the
  European Research Council, UK Research and Innovation, the Austrian Science Fund,
  and Trinity College."
article_number: e70095
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lawrence
  full_name: Hollom, Lawrence
  last_name: Hollom
- first_name: Lyuben
  full_name: Lichev, Lyuben
  id: 9aa8388e-d003-11ee-8458-c4c1d7447977
  last_name: Lichev
- first_name: Adva
  full_name: Mond, Adva
  last_name: Mond
- first_name: Julien
  full_name: Portier, Julien
  last_name: Portier
- first_name: Yiting
  full_name: Wang, Yiting
  id: 1917d194-076e-11ed-97cd-837255f88785
  last_name: Wang
citation:
  ama: Hollom L, Lichev L, Mond A, Portier J, Wang Y. Approximate Itai–Zehavi conjecture
    for random graphs. <i>Random Structures and Algorithms</i>. 2026;69(2). doi:<a
    href="https://doi.org/10.1002/rsa.70095">10.1002/rsa.70095</a>
  apa: Hollom, L., Lichev, L., Mond, A., Portier, J., &#38; Wang, Y. (2026). Approximate
    Itai–Zehavi conjecture for random graphs. <i>Random Structures and Algorithms</i>.
    Wiley. <a href="https://doi.org/10.1002/rsa.70095">https://doi.org/10.1002/rsa.70095</a>
  chicago: Hollom, Lawrence, Lyuben Lichev, Adva Mond, Julien Portier, and Yiting
    Wang. “Approximate Itai–Zehavi Conjecture for Random Graphs.” <i>Random Structures
    and Algorithms</i>. Wiley, 2026. <a href="https://doi.org/10.1002/rsa.70095">https://doi.org/10.1002/rsa.70095</a>.
  ieee: L. Hollom, L. Lichev, A. Mond, J. Portier, and Y. Wang, “Approximate Itai–Zehavi
    conjecture for random graphs,” <i>Random Structures and Algorithms</i>, vol. 69,
    no. 2. Wiley, 2026.
  ista: Hollom L, Lichev L, Mond A, Portier J, Wang Y. 2026. Approximate Itai–Zehavi
    conjecture for random graphs. Random Structures and Algorithms. 69(2), e70095.
  mla: Hollom, Lawrence, et al. “Approximate Itai–Zehavi Conjecture for Random Graphs.”
    <i>Random Structures and Algorithms</i>, vol. 69, no. 2, e70095, Wiley, 2026,
    doi:<a href="https://doi.org/10.1002/rsa.70095">10.1002/rsa.70095</a>.
  short: L. Hollom, L. Lichev, A. Mond, J. Portier, Y. Wang, Random Structures and
    Algorithms 69 (2026).
das_tickbox: '0'
date_created: 2026-09-27T22:01:52Z
date_published: 2026-09-01T00:00:00Z
date_updated: 2026-10-07T07:13:30Z
day: '01'
ddc:
- '500'
department:
- _id: MaKw
- _id: GradSch
doi: 10.1002/rsa.70095
external_id:
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  - '2506.23970'
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month: '09'
oa: 1
oa_version: Published Version
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- _id: bd95085b-d553-11ed-ba76-e55d3349be45
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  name: Randomness and structure in combinatorics
publication: Random Structures and Algorithms
publication_identifier:
  eissn:
  - 1098-2418
  issn:
  - 1042-9832
publication_status: published
publisher: Wiley
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Approximate Itai–Zehavi conjecture for random graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 69
year: '2026'
...
---
OA_embargo: '6'
OA_place: publisher
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acknowledged_ssus:
- _id: M-Shop
- _id: Bio
acknowledgement: "This project has received funding from the European Research Council
  (ERC) under \r\nthe European Union’s Horizon 2020 research and innovation programme
  (Grant \r\nagreements No. 949120 and No. 805041). This research was supported by
  the \r\nScientific Service Units of The Institute of Science and Technology Austria
  (ISTA) \r\nthrough resources provided by the Miba Machine Shop and the Imaging &
  Optics \r\nFacility. "
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
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  full_name: Stöllner, Andrea
  id: 4bdcf7f6-eb97-11eb-a6c2-9981bbdc3bed
  last_name: Stöllner
  orcid: 0000-0002-0464-8440
citation:
  ama: Stöllner A. Microscale electrical behavior of highly charged individual aerosol
    particles using optical tweezers. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-23033">10.15479/AT-ISTA-23033</a>
  apa: Stöllner, A. (2026). <i>Microscale electrical behavior of highly charged individual
    aerosol particles using optical tweezers</i>. Institute of Science and Technology
    Austria. <a href="https://doi.org/10.15479/AT-ISTA-23033">https://doi.org/10.15479/AT-ISTA-23033</a>
  chicago: Stöllner, Andrea. “Microscale Electrical Behavior of Highly Charged Individual
    Aerosol Particles Using Optical Tweezers.” Institute of Science and Technology
    Austria, 2026. <a href="https://doi.org/10.15479/AT-ISTA-23033">https://doi.org/10.15479/AT-ISTA-23033</a>.
  ieee: A. Stöllner, “Microscale electrical behavior of highly charged individual
    aerosol particles using optical tweezers,” Institute of Science and Technology
    Austria, 2026.
  ista: Stöllner A. 2026. Microscale electrical behavior of highly charged individual
    aerosol particles using optical tweezers. Institute of Science and Technology
    Austria.
  mla: Stöllner, Andrea. <i>Microscale Electrical Behavior of Highly Charged Individual
    Aerosol Particles Using Optical Tweezers</i>. Institute of Science and Technology
    Austria, 2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-23033">10.15479/AT-ISTA-23033</a>.
  short: A. Stöllner, Microscale Electrical Behavior of Highly Charged Individual
    Aerosol Particles Using Optical Tweezers, Institute of Science and Technology
    Austria, 2026.
corr_author: '1'
date_created: 2026-10-02T10:03:57Z
date_published: 2026-10-02T00:00:00Z
date_updated: 2026-10-09T11:09:10Z
day: '02'
ddc:
- '530'
degree_awarded: PhD
department:
- _id: GradSch
- _id: ScWa
- _id: CaMu
doi: 10.15479/AT-ISTA-23033
doi_confirm: '1'
ec_funded: 1
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  date_created: 2026-10-02T13:31:50Z
  date_updated: 2026-10-02T13:31:50Z
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  file_name: 2026_Stoellner_Andrea_Thesis.docx
  file_size: 8706369
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  date_created: 2026-10-05T12:02:57Z
  date_updated: 2026-10-05T12:06:04Z
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  embargo_to: open_access
  file_id: '23059'
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file_date_updated: 2026-10-05T12:06:04Z
fulldoi: https://doi.org/10.15479/AT-ISTA-23033
has_accepted_license: '1'
keyword:
- aerosol physics
- electrostatics
- optics
- optical tweezers
- atmospheric electricity
language:
- iso: eng
month: '10'
oa_version: Published Version
page: '88'
project:
- _id: 0aa60e99-070f-11eb-9043-a6de6bdc3afa
  call_identifier: H2020
  grant_number: '949120'
  name: 'Tribocharge: a multi-scale approach to an enduring problem in physics'
- _id: 629205d8-2b32-11ec-9570-e1356ff73576
  call_identifier: H2020
  grant_number: '805041'
  name: Organization of CLoUdS, and implications of Tropical  cyclones and for the
    Energetics of the tropics, in current and waRming climate
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
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  - id: '20705'
    relation: part_of_dissertation
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  - id: '23038'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Scott R
  full_name: Waitukaitis, Scott R
  id: 3A1FFC16-F248-11E8-B48F-1D18A9856A87
  last_name: Waitukaitis
  orcid: 0000-0002-2299-3176
- first_name: Caroline J
  full_name: Muller, Caroline J
  id: f978ccb0-3f7f-11eb-b193-b0e2bd13182b
  last_name: Muller
  orcid: 0000-0001-5836-5350
title: Microscale electrical behavior of highly charged individual aerosol particles
  using optical tweezers
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2026'
...
---
OA_type: closed access
_id: '23055'
abstract:
- lang: eng
  text: We report progress toward strong electric-dipole coupling of polar molecules
    in cryogenic crystals to superconducting microwave resonators for hybrid quantum
    computing. We detect crystal-shifted inversion transitions of ammonia in neon
    using a multimode resonator.
alternative_title:
- Technical Digest Series
article_number: QM4D.3
article_processing_charge: No
author:
- first_name: Nikolaus
  full_name: De Zordo, Nikolaus
  last_name: De Zordo
- first_name: Carla N
  full_name: Borja Espinosa, Carla N
  id: 18777c01-896a-11ed-bdf8-e4851dc07d16
  last_name: Borja Espinosa
- first_name: Ragheed
  full_name: Al Hyder, Ragheed
  id: d1c405be-ae15-11ed-8510-ccf53278162e
  last_name: Al Hyder
- first_name: Jinglun
  full_name: Li, Jinglun
  id: ff19510a-0d2c-11ef-b018-c338ad2f4325
  last_name: Li
- first_name: Wenzel
  full_name: Kersten, Wenzel
  last_name: Kersten
- first_name: Andrew
  full_name: Kanagin, Andrew
  last_name: Kanagin
- first_name: Georgios
  full_name: Koutentakis, Georgios
  id: d7b23d3a-9e21-11ec-b482-f76739596b95
  last_name: Koutentakis
- first_name: Florian
  full_name: Kluibenschedl, Florian
  id: 7499e70e-eb2c-11ec-b98b-f925648bc9d9
  last_name: Kluibenschedl
  orcid: 0000-0003-4695-5526
- first_name: Mikhail
  full_name: Lemeshko, Mikhail
  id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
  last_name: Lemeshko
  orcid: 0000-0002-6990-7802
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
- first_name: Jörg
  full_name: Schmiedmayer, Jörg
  last_name: Schmiedmayer
- first_name: Elena
  full_name: Redchenko, Elena
  id: 2C21D6E8-F248-11E8-B48F-1D18A9856A87
  last_name: Redchenko
citation:
  ama: 'De Zordo N, Borja Espinosa CN, Al Hyder R, et al. Detecting polar molecules
    with superconducting microwave resonators. In: <i>Quantum 2.0 Conference and Exhibition</i>.
    Optica Publishing Group; 2026.'
  apa: 'De Zordo, N., Borja Espinosa, C. N., Al Hyder, R., Li, J., Kersten, W., Kanagin,
    A., … Redchenko, E. (2026). Detecting polar molecules with superconducting microwave
    resonators. In <i>Quantum 2.0 Conference and Exhibition</i>. Glasgow, United Kingdom:
    Optica Publishing Group.'
  chicago: De Zordo, Nikolaus, Carla N Borja Espinosa, Ragheed Al Hyder, Jinglun Li,
    Wenzel Kersten, Andrew Kanagin, Georgios Koutentakis, et al. “Detecting Polar
    Molecules with Superconducting Microwave Resonators.” In <i>Quantum 2.0 Conference
    and Exhibition</i>. Optica Publishing Group, 2026.
  ieee: N. De Zordo <i>et al.</i>, “Detecting polar molecules with superconducting
    microwave resonators,” in <i>Quantum 2.0 Conference and Exhibition</i>, Glasgow,
    United Kingdom, 2026.
  ista: De Zordo N, Borja Espinosa CN, Al Hyder R, Li J, Kersten W, Kanagin A, Koutentakis
    G, Kluibenschedl F, Lemeshko M, Fink JM, Schmiedmayer J, Redchenko E. 2026. Detecting
    polar molecules with superconducting microwave resonators. Quantum 2.0 Conference
    and Exhibition. Quantum 2.0, Technical Digest Series, , QM4D.3.
  mla: De Zordo, Nikolaus, et al. “Detecting Polar Molecules with Superconducting
    Microwave Resonators.” <i>Quantum 2.0 Conference and Exhibition</i>, QM4D.3, Optica
    Publishing Group, 2026.
  short: N. De Zordo, C.N. Borja Espinosa, R. Al Hyder, J. Li, W. Kersten, A. Kanagin,
    G. Koutentakis, F. Kluibenschedl, M. Lemeshko, J.M. Fink, J. Schmiedmayer, E.
    Redchenko, in:, Quantum 2.0 Conference and Exhibition, Optica Publishing Group,
    2026.
conference:
  end_date: 2026-06-18
  location: Glasgow, United Kingdom
  name: Quantum 2.0
  start_date: 2026-06-15
das_tickbox: '0'
date_created: 2026-10-04T22:01:56Z
date_published: 2026-09-01T00:00:00Z
date_updated: 2026-10-12T07:52:45Z
day: '01'
department:
- _id: JoFi
- _id: GradSch
- _id: MiLe
language:
- iso: eng
month: '09'
oa_version: None
publication: Quantum 2.0 Conference and Exhibition
publication_identifier:
  isbn:
  - '9781957171616'
publication_status: published
publisher: Optica Publishing Group
quality_controlled: '1'
scopus_import: '1'
status: public
title: Detecting polar molecules with superconducting microwave resonators
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_type: closed access
_id: '23056'
abstract:
- lang: eng
  text: Superconducting qubits face scaling challenges due to millikelvin temperature
    requirements. Here we demonstrate the generation and low-noise upconversion of
    single microwave photons to telecom frequencies, paving the way for quantum networks
    with superconducting qubits.
alternative_title:
- Technical Digest Series
article_number: QM2A.1
article_processing_charge: No
author:
- first_name: Andrei
  full_name: Militaru, Andrei
  id: d67706f8-8eb1-11ee-ad1b-9c30dfa19e0b
  last_name: Militaru
- first_name: Thomas
  full_name: Werner, Thomas
  id: 1fcd8497-dba3-11ea-a45e-c6fbd715f7c7
  last_name: Werner
  orcid: 0009-0001-2346-5236
- first_name: Erfan
  full_name: Riyazi, Erfan
  id: 53322f94-5355-11ee-ae5a-ff6f81c87d51
  last_name: Riyazi
- first_name: Samarth
  full_name: Hawaldar, Samarth
  id: 221708e1-1ff6-11ee-9fa6-85146607433e
  last_name: Hawaldar
  orcid: 0000-0002-1965-4309
- first_name: Rishabh
  full_name: Sahu, Rishabh
  id: 47D26E34-F248-11E8-B48F-1D18A9856A87
  last_name: Sahu
  orcid: 0000-0001-6264-2162
- first_name: Georg M
  full_name: Arnold, Georg M
  id: 3770C838-F248-11E8-B48F-1D18A9856A87
  last_name: Arnold
  orcid: 0000-0003-1397-7876
- first_name: Paul
  full_name: Falthansl-Scheinecker, Paul
  id: 85b43b21-15b2-11ec-abd3-e2c252cc2285
  last_name: Falthansl-Scheinecker
- first_name: Jennifer Anais
  full_name: Sanchez Naranjo, Jennifer Anais
  id: 0fd10295-ebd4-11ec-b0f1-c1c8465143f9
  last_name: Sanchez Naranjo
- first_name: Dante
  full_name: Loi, Dante
  id: a24803ec-c619-11f1-873b-95804e96f22f
  last_name: Loi
- first_name: Lucky
  full_name: Kapoor, Lucky
  id: 84b9700b-15b2-11ec-abd3-831089e67615
  last_name: Kapoor
  orcid: 0000-0001-8319-2148
- first_name: Martin
  full_name: Zemlicka, Martin
  id: 2DCF8DE6-F248-11E8-B48F-1D18A9856A87
  last_name: Zemlicka
  orcid: 0009-0005-0878-3032
- first_name: Liu
  full_name: Qiu, Liu
  id: 45e99c0d-1eb1-11eb-9b96-ed8ab2983cac
  last_name: Qiu
  orcid: 0000-0003-4345-4267
- first_name: Johannes M
  full_name: Fink, Johannes M
  id: 4B591CBA-F248-11E8-B48F-1D18A9856A87
  last_name: Fink
  orcid: 0000-0001-8112-028X
citation:
  ama: 'Militaru A, Werner T, Riyazi E, et al. Electro-optic conversion of itinerant
    Fock states. In: <i>Quantum 2.0 Conference and Exhibition</i>. Optica Publishing
    Group; 2026.'
  apa: 'Militaru, A., Werner, T., Riyazi, E., Hawaldar, S., Sahu, R., Arnold, G. M.,
    … Fink, J. M. (2026). Electro-optic conversion of itinerant Fock states. In <i>Quantum
    2.0 Conference and Exhibition</i>. Glasgow, United Kingdom: Optica Publishing
    Group.'
  chicago: Militaru, Andrei, Thomas Werner, Erfan Riyazi, Samarth Hawaldar, Rishabh
    Sahu, Georg M Arnold, Paul Falthansl-Scheinecker, et al. “Electro-Optic Conversion
    of Itinerant Fock States.” In <i>Quantum 2.0 Conference and Exhibition</i>. Optica
    Publishing Group, 2026.
  ieee: A. Militaru <i>et al.</i>, “Electro-optic conversion of itinerant Fock states,”
    in <i>Quantum 2.0 Conference and Exhibition</i>, Glasgow, United Kingdom, 2026.
  ista: Militaru A, Werner T, Riyazi E, Hawaldar S, Sahu R, Arnold GM, Falthansl-Scheinecker
    P, Sanchez Naranjo JA, Loi D, Kapoor L, Zemlicka M, Qiu L, Fink JM. 2026. Electro-optic
    conversion of itinerant Fock states. Quantum 2.0 Conference and Exhibition. Quantum
    2.0, Technical Digest Series, , QM2A.1.
  mla: Militaru, Andrei, et al. “Electro-Optic Conversion of Itinerant Fock States.”
    <i>Quantum 2.0 Conference and Exhibition</i>, QM2A.1, Optica Publishing Group,
    2026.
  short: A. Militaru, T. Werner, E. Riyazi, S. Hawaldar, R. Sahu, G.M. Arnold, P.
    Falthansl-Scheinecker, J.A. Sanchez Naranjo, D. Loi, L. Kapoor, M. Zemlicka, L.
    Qiu, J.M. Fink, in:, Quantum 2.0 Conference and Exhibition, Optica Publishing
    Group, 2026.
conference:
  end_date: 2026-06-18
  location: Glasgow, United Kingdom
  name: Quantum 2.0
  start_date: 2026-06-15
corr_author: '1'
date_created: 2026-10-04T22:01:57Z
date_published: 2026-09-01T00:00:00Z
date_updated: 2026-10-12T08:53:25Z
day: '01'
department:
- _id: JoFi
- _id: GradSch
- _id: GeKa
language:
- iso: eng
month: '09'
oa_version: None
publication: Quantum 2.0 Conference and Exhibition
publication_identifier:
  isbn:
  - '9781957171616'
publication_status: published
publisher: Optica Publishing Group
scopus_import: '1'
status: public
title: Electro-optic conversion of itinerant Fock states
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '23089'
abstract:
- lang: eng
  text: The location of the hydrogen-helium (H/He) immiscibility boundary controls
    whether and where helium rain occurs in giant planets, yet it remains uncertain
    because high-pressure experiments are challenging and ab initio simulations are
    limited in system size and simulation time. We map this boundary by computing
    composition-dependent chemical potentials from large-scale molecular dynamics
    driven by machine learning potentials trained on three density functional approximations
    (PBE, vdW-DF, and the hybrid HSE). Across the pressure range of 100-1000 GPa,
    the demixing temperatures are typically  ~ 2000 K lower than previous ab initio
    simulations using small system sizes, and this discrepancy is larger than the
    estimated error from the chosen density functionals, machine learning potentials,
    neglect of nuclear quantum effects, and statistical uncertainties. Fitting the
    H/He mixing free energy to a Redlich-Kister regular solution model rationalizes
    the thermodynamic driving force for phase separation, and provides a predictive
    representation of the boundary. Comparing with current planetary interior profiles
    indicates that helium rain is plausible in Saturn but unlikely in the warmer interior
    of Jupiter. Our results narrow the uncertainty in the H/He immiscibility boundary
    and provide inputs for planetary models that couple demixing, heat transport,
    and composition gradients in gas giants.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: The authors are thankful to Armin Bergermann and Ronald Redmer for
  generously sharing AIMD trajectories and data, and for valuable discussions and
  feedback on the manuscript. The authors also acknowledge the research computing
  facilities provided by the high-performance computing (HPC) cluster at the Institute
  of Science and Technology Austria (ISTA), Berkeley Research Computing (BRC) at the
  University of California, Berkeley (UCB), and Lawrence Livermore National Laboratory
  (LLNL). B.C. was supported by the Laboratory Directed Research and Development (LDRD)
  Program at Lawrence Berkeley National Laboratory (LBNL) under project ID 110990-001.
  Part of this work was performed under the auspices of the U.S. Department of Energy
  by LLNL under Contract DE-AC52-07NA27344. S.H. was supported by the LDRD Program
  at LLNL under project tracking code 23-SI-006.
article_number: '10382'
article_processing_charge: Yes
article_type: original
author:
- first_name: Xiaoyu
  full_name: Wang, Xiaoyu
  id: 8dff9c62-32b0-11ee-9fa8-fc73025e10f3
  last_name: Wang
- first_name: Sebastien
  full_name: Hamel, Sebastien
  last_name: Hamel
- first_name: Bingqing
  full_name: Cheng, Bingqing
  id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9
  last_name: Cheng
  orcid: 0000-0002-3584-9632
citation:
  ama: Wang X, Hamel S, Cheng B. Hydrogen-helium immiscibility boundary in gas-giant
    planetary interiors from machine-learning molecular dynamics. <i>Nature Communications</i>.
    2026;17. doi:<a href="https://doi.org/10.1038/s41467-026-77117-8">10.1038/s41467-026-77117-8</a>
  apa: Wang, X., Hamel, S., &#38; Cheng, B. (2026). Hydrogen-helium immiscibility
    boundary in gas-giant planetary interiors from machine-learning molecular dynamics.
    <i>Nature Communications</i>. Springer Nature. <a href="https://doi.org/10.1038/s41467-026-77117-8">https://doi.org/10.1038/s41467-026-77117-8</a>
  chicago: Wang, Xiaoyu, Sebastien Hamel, and Bingqing Cheng. “Hydrogen-Helium Immiscibility
    Boundary in Gas-Giant Planetary Interiors from Machine-Learning Molecular Dynamics.”
    <i>Nature Communications</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41467-026-77117-8">https://doi.org/10.1038/s41467-026-77117-8</a>.
  ieee: X. Wang, S. Hamel, and B. Cheng, “Hydrogen-helium immiscibility boundary in
    gas-giant planetary interiors from machine-learning molecular dynamics,” <i>Nature
    Communications</i>, vol. 17. Springer Nature, 2026.
  ista: Wang X, Hamel S, Cheng B. 2026. Hydrogen-helium immiscibility boundary in
    gas-giant planetary interiors from machine-learning molecular dynamics. Nature
    Communications. 17, 10382.
  mla: Wang, Xiaoyu, et al. “Hydrogen-Helium Immiscibility Boundary in Gas-Giant Planetary
    Interiors from Machine-Learning Molecular Dynamics.” <i>Nature Communications</i>,
    vol. 17, 10382, Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41467-026-77117-8">10.1038/s41467-026-77117-8</a>.
  short: X. Wang, S. Hamel, B. Cheng, Nature Communications 17 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: 'The training data, fitted MLPs, MLP molecular dynamics
  results, and source data underlying all figures and tables in the main text and
  Supplementary Information have been deposited in the Zenodo repository: https://doi.org/10.5281/zenodo.21632034.
  The data-analysis and plotting scripts used to generate the figures and tables in
  the main text and Supplementary Information are available in the GitHub repository:
  https://github.com/ChengUCB/HighPressure_HHe.'
date_created: 2026-10-11T22:02:04Z
date_published: 2026-09-01T00:00:00Z
date_updated: 2026-10-12T11:00:16Z
day: '01'
ddc:
- '540'
department:
- _id: GradSch
- _id: BiCh
doi: 10.1038/s41467-026-77117-8
external_id:
  pmid:
  - '42816492'
file:
- access_level: open_access
  checksum: f39b50a550623a65aea2405b527e068c
  content_type: application/pdf
  creator: dernst
  date_created: 2026-10-12T10:57:42Z
  date_updated: 2026-10-12T10:57:42Z
  file_id: '23107'
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  file_size: 1559219
  relation: main_file
  success: 1
file_date_updated: 2026-10-12T10:57:42Z
fulldoi: https://doi.org/10.1038/s41467-026-77117-8
has_accepted_license: '1'
intvolume: '        17'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
pmid: 1
publication: Nature Communications
publication_identifier:
  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Hydrogen-helium immiscibility boundary in gas-giant planetary interiors from
  machine-learning molecular dynamics
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2026'
...
---
OA_place: publisher
_id: '23072'
abstract:
- lang: eng
  text: "Inferring signal from large quantities of data is one of the most important
    problems in today’s\r\nworld, with neural networks emerging as the most powerful
    solution. While there have been\r\nmassive breakthroughs in the ML space, there
    are two main drawbacks. The first is that\r\nmost of these models are “black boxes”,
    with very little understanding of why they work,\r\nwhich makes it hard to find
    the correct architecture for a given problem. The architecture is\r\ncrucial,
    as the widely used training algorithms are “local” and thus rely on the loss landscape\r\nbeing
    benign enough to find a global optimum. This brings us to the second problem:
    while\r\nthere is a lot of evidence that this can be overcome with large enough
    data, this is less clear\r\nfor datasets which are noisy, do not have enough samples,
    or have a non-standard structure.\r\nHistorically, on a smaller scale, the alternative
    has been simple (Bayesian) statistical methods,\r\nwhich also have the advantage
    of being interpretable and adaptable. However, many of the\r\nclassical results
    cannot be easily extended to the high-dimensional regime in which modern\r\ndata
    lives.\r\nIn this work we want to consider two different settings relating to
    the above. The first is\r\napproximate message passing (AMP), an iterative algorithm
    for high-dimensional (generalized)\r\nlinear models that easily lends itself to
    Bayesian setups, and which in many cases is provably\r\nBayes-optimal. The second
    is an autoencoder with a shallow encoder, for which we can\r\nanalyze the weights
    along the training trajectory of gradient descent. Surprisingly, we will find\r\na
    connection between the two, as we recover certain structures of AMP.\r\nWe will
    first introduce the AMP framework by studying an extension that can be applied\r\nto
    a wider variety of data: rotationally invariant generalized approximate message
    passing\r\n(RI-GAMP). This shows that one can extend the AMP framework to a much
    wider class of\r\nalgorithms, relevant to more practical settings. The results
    are then also confirmed on real\r\ndata that go beyond the theoretical setting.\r\nWe
    then move to the setup of an autoencoder with a shallow encoder and a Bayesian
    prior in\r\nthe high-dimensional regime, in which the input and compression dimensions
    are large and\r\nproportional; this is also a first step towards opening one of
    the black boxes above, as we\r\ncan say precisely when and why the network works.
    While autoencoders are widely used in\r\nmodern ML architectures, most fundamental
    research in this direction has focused on extreme\r\nasymptotic regimes, where
    the autoencoder is either severely over- or under-parameterized,\r\nand which
    do not extend to the proportional high-dimensional regime. We show that for\r\nGaussian
    priors the network finds the global optimum, and these theoretical findings extrapolate\r\nstrikingly
    well to real image data. Next we extend this analysis to more structured priors
    and\r\na deeper decoder. For sparse Gaussian inputs in the training regime studied
    here, the shallow\r\ndecoder does not exploit sparsity and yields the same dynamics
    as in the Gaussian setting.\r\nWe then show how a deeper decoder can break this
    behavior, and interestingly, if we treat the\r\nproblem as an AMP problem, the
    network eventually learns the same decoding as AMP. This\r\ntoo extrapolates to
    real image data.\r\nLastly, we will show that the AMP setup has real practical
    use, by using a practical variant,\r\ngenetic vector approximate message passing
    (gVAMP), for predicting plasma protein levels\r\nfrom genetic information using
    the UKB GWAS data. This is a perfect example of the problems\r\nin the high-dimensional
    regime: approximately 8.4 million dimensions and 40,000 samples,\r\nwhere the
    high noise, low sample count, and large size make it hard for ML methods to work.\r\nTo
    get the optimal prediction accuracy we consider a two-step inference. We first
    consider a\r\npre-processed version of the data, of about 880,000 dimensions,
    on which we run the gVAMP\r\nalgorithm; this allows us to find predictive regions,
    taking into account joint effects between\r\ndifferent regions, and for most proteins
    we end up selecting only about 0.1% of the dimensions.\r\nWe then consider the
    analogue of this small subset, on which we can now run a standard tree\r\nalgorithm
    (XGB) that no longer suffers from the aforementioned problems. This pipeline yields\r\nbetter
    prediction accuracy than recent nonlinear deep learning approaches applied to
    this data,\r\nas we are able to handle the pre-processing in a principled Bayesian
    way."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "This project was partially supported by the 2019 Lopez-Loreta Prize
  and\r\nthe ERC INF2 project (project number 101161364). Furthermore, the candidate
  acknowledges\r\nthe support from the Scientific Service Units of the Institute of
  Science and Technology Austria\r\nthrough resources provided by Scientific Computing."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Kevin
  full_name: Kögler, Kevin
  id: 94ec913c-dc85-11ea-9058-e5051ab2428b
  last_name: Kögler
citation:
  ama: 'Kögler K. Compression and inference in high dimensions: An approximate message
    passing perspective. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-23072">10.15479/AT-ISTA-23072</a>'
  apa: 'Kögler, K. (2026). <i>Compression and inference in high dimensions: An approximate
    message passing perspective</i>. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT-ISTA-23072">https://doi.org/10.15479/AT-ISTA-23072</a>'
  chicago: 'Kögler, Kevin. “Compression and Inference in High Dimensions: An Approximate
    Message Passing Perspective.” Institute of Science and Technology Austria, 2026.
    <a href="https://doi.org/10.15479/AT-ISTA-23072">https://doi.org/10.15479/AT-ISTA-23072</a>.'
  ieee: 'K. Kögler, “Compression and inference in high dimensions: An approximate
    message passing perspective,” Institute of Science and Technology Austria, 2026.'
  ista: 'Kögler K. 2026. Compression and inference in high dimensions: An approximate
    message passing perspective. Institute of Science and Technology Austria.'
  mla: 'Kögler, Kevin. <i>Compression and Inference in High Dimensions: An Approximate
    Message Passing Perspective</i>. Institute of Science and Technology Austria,
    2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-23072">10.15479/AT-ISTA-23072</a>.'
  short: 'K. Kögler, Compression and Inference in High Dimensions: An Approximate
    Message Passing Perspective, Institute of Science and Technology Austria, 2026.'
corr_author: '1'
date_created: 2026-10-07T11:20:26Z
date_published: 2026-10-08T00:00:00Z
date_updated: 2026-10-12T13:04:49Z
day: '08'
ddc:
- '519'
degree_awarded: PhD
department:
- _id: MaMo
- _id: GradSch
doi: 10.15479/AT-ISTA-23072
doi_confirm: '1'
file:
- access_level: closed
  checksum: 5fb2ff02dc9d8c659b2fb5e0802b06ff
  content_type: application/zip
  creator: kkoegler
  date_created: 2026-10-09T11:20:09Z
  date_updated: 2026-10-09T12:22:55Z
  file_id: '23084'
  file_name: 2026_Koegler_Kevin_Thesis.zip
  file_size: 8504109
  relation: source_file
- access_level: open_access
  checksum: a6df3b04c97628a1703f63356fb56f96
  content_type: application/pdf
  creator: kkoegler
  date_created: 2026-10-09T13:25:49Z
  date_updated: 2026-10-09T13:25:49Z
  file_id: '23085'
  file_name: 2026_Koegler_Kevin_Thesis.pdf
  file_size: 6692605
  relation: main_file
  success: 1
file_date_updated: 2026-10-09T13:25:49Z
fulldoi: https://doi.org/10.15479/AT-ISTA-23072
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '222'
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
  name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
  - id: '14459'
    relation: part_of_dissertation
    status: public
  - id: '12540'
    relation: part_of_dissertation
    status: public
  - id: '17469'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
title: 'Compression and inference in high dimensions: An approximate message passing
  perspective'
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '23094'
abstract:
- lang: eng
  text: The formation of C(sp2)–heteroatom bonds through cross-coupling catalysis
    is central to the synthesis of pharmaceuticals, agrochemicals and materials. Whereas
    Pd0/PdII catalysis requires substrate-specific ligand optimization to balance
    the competing demands of oxidative addition and reductive elimination, NiI/NiIII
    catalysis offers a complementary strategy because the bond-forming step is intrinsically
    favourable. However, contemporary NiI/NiIII methodologies suffer from insufficient
    oxidative addition reactivity, restricting the aryl halide scope and requiring
    high catalyst loadings. Here we show that mechanistically guided ligand design
    overcomes these limitations. Together with a non-nucleophilic base additive that
    promotes direct visible-light generation of NiI from a bench-stable NiII precatalyst,
    this ligand design enables the coupling of electron-rich aryl bromides with N-,
    O-, S- and P-based nucleophiles at nickel loadings as low as 100 ppm. The method
    is compatible with sterically encumbered nucleophiles and enables gram-scale synthesis
    and late-stage functionalization of complex molecules.
acknowledged_ssus:
- _id: LifeSc
- _id: MassSpec
- _id: NMR
- _id: M-Shop
acknowledgement: We acknowledge ISTA for generous financial support. This research
  was supported by the Scientific Service Units (SSU) of ISTA through resources provided
  by the Lab Support Facility, Mass Spec Facility, NMR facility and the Miba Machine
  Shop. We specifically thank A. Paraskevopoulou for high-resolution mass spectrometry
  measurements. B.P. acknowledges the Austrian Science Fund (PAT 1250924) and the
  ACS GCI Pharmaceutical Roundtable for funding. T.B. thanks the European Union’s
  Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
  Grant Agreement No. 101034413. D.B. acknowledges funding from the Czech Science
  Foundation (25-17760M). Open access funding provided by Institute of Science and
  Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Aleksander
  full_name: Bena, Aleksander
  id: 4197c39e-e8ec-11ed-86cb-afed934cd664
  last_name: Bena
- first_name: Trisha
  full_name: Banik, Trisha
  id: 506b8e06-c59a-11ee-a1af-ae470719e7d3
  last_name: Banik
- first_name: Christos
  full_name: Giannoudis, Christos
  id: 1bd506c6-e8ec-11ed-86cb-d495f63f2dcd
  last_name: Giannoudis
- first_name: Florian
  full_name: Ortis, Florian
  id: e34c9177-3208-11ee-ac71-a6a15cf2ef29
  last_name: Ortis
  orcid: 0000-0002-0458-5187
- first_name: Daniel
  full_name: Bím, Daniel
  last_name: Bím
- first_name: Haralds
  full_name: Baunis, Haralds
  id: 2eea55ec-e8ec-11ed-86cb-d9c76787acfe
  last_name: Baunis
- first_name: Gayathri
  full_name: Palissery, Gayathri
  id: b02c9d47-50c9-11ef-b52e-b2180bf00ccd
  last_name: Palissery
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
citation:
  ama: Bena A, Banik T, Giannoudis C, et al. Ligand design broadens NiI-catalysed
    C(sp2)–heteroatom couplings of aryl bromides at low catalyst loadings. <i>Nature
    Catalysis</i>. 2026. doi:<a href="https://doi.org/10.1038/s41929-026-01616-6">10.1038/s41929-026-01616-6</a>
  apa: Bena, A., Banik, T., Giannoudis, C., Ortis, F., Bím, D., Baunis, H., … Pieber,
    B. (2026). Ligand design broadens NiI-catalysed C(sp2)–heteroatom couplings of
    aryl bromides at low catalyst loadings. <i>Nature Catalysis</i>. Springer Nature.
    <a href="https://doi.org/10.1038/s41929-026-01616-6">https://doi.org/10.1038/s41929-026-01616-6</a>
  chicago: Bena, Aleksander, Trisha Banik, Christos Giannoudis, Florian Ortis, Daniel
    Bím, Haralds Baunis, Gayathri Palissery, and Bartholomäus Pieber. “Ligand Design
    Broadens NiI-Catalysed C(Sp2)–Heteroatom Couplings of Aryl Bromides at Low Catalyst
    Loadings.” <i>Nature Catalysis</i>. Springer Nature, 2026. <a href="https://doi.org/10.1038/s41929-026-01616-6">https://doi.org/10.1038/s41929-026-01616-6</a>.
  ieee: A. Bena <i>et al.</i>, “Ligand design broadens NiI-catalysed C(sp2)–heteroatom
    couplings of aryl bromides at low catalyst loadings,” <i>Nature Catalysis</i>.
    Springer Nature, 2026.
  ista: Bena A, Banik T, Giannoudis C, Ortis F, Bím D, Baunis H, Palissery G, Pieber
    B. 2026. Ligand design broadens NiI-catalysed C(sp2)–heteroatom couplings of aryl
    bromides at low catalyst loadings. Nature Catalysis.
  mla: Bena, Aleksander, et al. “Ligand Design Broadens NiI-Catalysed C(Sp2)–Heteroatom
    Couplings of Aryl Bromides at Low Catalyst Loadings.” <i>Nature Catalysis</i>,
    Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41929-026-01616-6">10.1038/s41929-026-01616-6</a>.
  short: A. Bena, T. Banik, C. Giannoudis, F. Ortis, D. Bím, H. Baunis, G. Palissery,
    B. Pieber, Nature Catalysis (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: All data are available from the authors upon request.
date_created: 2026-10-11T22:02:06Z
date_published: 2026-09-29T00:00:00Z
date_updated: 2026-10-14T06:32:42Z
day: '29'
department:
- _id: BaPi
- _id: GradSch
- _id: RaKl
doi: 10.1038/s41929-026-01616-6
ec_funded: 1
fulldoi: https://doi.org/10.1038/s41929-026-01616-6
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1038/s41929-026-01616-6
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 8f1d607d-16d5-11f0-9cad-ab453295ba5e
  grant_number: PAT 1250924
  name: Photoactive ligands for transformative nickel catalysis
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Nature Catalysis
publication_identifier:
  eissn:
  - 2520-1158
publication_status: epub_ahead
publisher: Springer Nature
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researchdata_availability: upon request
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Ligand design broadens NiI-catalysed C(sp2)–heteroatom couplings of aryl bromides
  at low catalyst loadings
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
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abstract:
- lang: eng
  text: "We investigate the association between galaxies and neutral O I absorption
    systems at z ∼ 6, which trace metalenriched gas during the epoch of reionization.
    We identify 40 galaxies across six quasar fields, residing in 15\r\noverdensities
    within 300 kpc of the background sight lines. Five O I absorption systems are
    associated with five of\r\nthese overdensities, yielding a covering fraction of\r\n0.27
    0.10\r\n+0.13\r\nwithin 300 kpc. The absorption occurs beyond typical\r\nvirial
    radii, indicating that the gas traces extended overdensity environments rather
    than individual galaxy halos,\r\nunlike the z ∼ 0 circumgalactic medium (CGM),
    which is largely bound to halos. These galaxy-associated\r\nabsorbers account
    for ∼35% of all O I systems seen in blind quasar surveys, implying the remainder
    arise in\r\nlower-mass galaxies below our detection threshold or in dense neutral
    intergalactic medium pockets. The CGM\r\naround these galaxies contains ≳ 2 ×
    106 M⊙ of oxygen, comparable to the interstellar medium oxygen mass of\r\nthe
    galaxies themselves, suggesting that the surrounding environment holds as much
    metal mass as the galaxies.\r\nAll five galaxy-associated systems show significantly
    higher\r\nlog NCII NOI ( / )\r\nratios than absorbers lacking galaxy\r\nassociations.
    Furthermore, relative abundance ratios ([Si/O], [C/O]) reveal that four of the
    five exhibit\r\nenrichment patterns consistent with Population III nucleosynthesis
    at the outskirts of galaxy overdensities. These\r\nrare systems offer a unique
    window into the role of first-generation stars in shaping the early metal enrichment
    of\r\ngalaxies and their environments."
acknowledgement: "IOP Science home\r\nAccessibility Help\r\n\r\nJournals\r\nBooks\r\nPublishing
  Support\r\nLogin\r\nThe Astrophysical Journal\r\nThe American Astronomical Society,
  find out more.\r\n\r\nThe following article isOpen access\r\nEIGER. VIII. First
  Stars Signatures in the Connection between O I Absorption and Galaxies in the Epoch
  of Reionization\r\nJack Higginson, Rongmon Bordoloi, Robert A. Simcoe, Jorryt Matthee,
  Daichi Kashino, Ruari Mackenzie, Ivan Kramarenko, Simon J. Lilly, Anna-Christina
  Eilers, Rohan P. NaiduShow full author list\r\n\r\nPublished 2026 February 24 •
  © 2026. The Author(s). Published by the American Astronomical Society.\r\nThe Astrophysical
  Journal, Volume 999, Number 1\r\nCitation Jack Higginson et al 2026 ApJ 999 49\r\nDOI
  10.3847/1538-4357/ae3e81\r\n\r\nPDFOpens in a new tab.\r\nePub\r\nAuthors\r\nFigures\r\nTables\r\nReferences\r\nArticle
  data\r\nPDFOpens in a new tab.\r\nePub\r\nArticle metrics\r\n626 Total downloads\r\n\r\n22
  total citations on Dimensions.\r\nShare this article\r\nArticle information\r\nAbstract\r\nWe
  investigate the association between galaxies and neutral O i absorption systems
  at z ∼ 6, which trace metal-enriched gas during the epoch of reionization. We identify
  40 galaxies across six quasar fields, residing in 15 overdensities within 300 kpc
  of the background sight lines. Five O i absorption systems are associated with five
  of these overdensities, yielding a covering fraction of \r\n within 300 kpc. The
  absorption occurs beyond typical virial radii, indicating that the gas traces extended
  overdensity environments rather than individual galaxy halos, unlike the z ∼ 0 circumgalactic
  medium (CGM), which is largely bound to halos. These galaxy-associated absorbers
  account for ∼35% of all O i systems seen in blind quasar surveys, implying the remainder
  arise in lower-mass galaxies below our detection threshold or in dense neutral intergalactic
  medium pockets. The CGM around these galaxies contains  ≳  2 × 106 M⊙ of oxygen,
  comparable to the interstellar medium oxygen mass of the galaxies themselves, suggesting
  that the surrounding environment holds as much metal mass as the galaxies. All five
  galaxy-associated systems show significantly higher \r\n ratios than absorbers lacking
  galaxy associations. Furthermore, relative abundance ratios ([Si/O], [C/O]) reveal
  that four of the five exhibit enrichment patterns consistent with Population III
  nucleosynthesis at the outskirts of galaxy overdensities. These rare systems offer
  a unique window into the role of first-generation stars in shaping the early metal
  enrichment of galaxies and their environments.\r\n\r\nExport citation and abstract\r\nBibTeX\r\nRIS\r\n\r\nPrevious
  article in issue\r\nNext article in issue\r\nRelated links\r\n\r\nOriginal content
  from this work may be used under the terms of the Creative Commons Attribution 4.0
  licence. Any further distribution of this work must maintain attribution to the
  author(s) and the title of the work, journal citation and DOI.\r\n\r\n1. Introduction\r\nThe
  first generations of stars formed shortly after the Epoch of Recombination within
  dark matter overdensities, producing the first significant quantities of metals
  and enriching the intergalactic medium (IGM) while reionizing hydrogen and helium
  (e.g., R. S. Klessen & S. C. O. Glover 2023). These metals and gas eventually coalesced
  into the first galaxies, which over cosmic time evolved into Milky Way–like systems
  today. Studying these young galaxies and their environments provides critical insight
  into galaxy formation and evolution, constraining models of stellar feedback, gas
  accretion, and chemical enrichment (C.-A. Faucher-Giguère & S. P. Oh 2023; C. Peroux
  & D. Nelson 2024).\r\n\r\nAt low redshift, decades of observations using deep ground-based
  spectroscopy and Hubble Space Telescope (HST) data of background quasars and foreground
  galaxies have built a rich understanding of the circumgalactic medium (CGM) and
  its interplay with galaxies (e.g., J. Tumlinson et al. 2017). The CGM plays a crucial
  role in gas recycling, star formation regulation, and quenching; understanding its
  structure and composition informs galaxy growth models (Y. Peng et al. 2015; E.
  Zinger et al. 2020).\r\n\r\nHigh-redshift studies, leveraging ground- and space-based
  near-infrared (NIR) spectroscopy of quasars, reveal that the early Universe was
  already chemically enriched by the epoch of reionization (e.g., T. J. Cooper et
  al. 2019; L. Christensen et al. 2023; R. L. Davies et al. 2023a). Among tracers
  of neutral and low-ionization gas, O i has emerged as a key probe: surveys report
  an increase in O i number density at z  ≳  5–6 (G. D. Becker et al. 2019; L. Christensen
  et al. 2023; A. M. Sebastian et al. 2024; A. Sodini et al. 2024), while higher-ionization
  species like C iv and Si iv decline, consistent with a softer and evolving UV background
  at the end of reionization (T. J. Cooper et al. 2019; V. D’Odorico et al. 2022;
  R. L. Davies et al. 2023a, 2023b).\r\n\r\nHistorically, connecting absorption systems
  with their host galaxies was challenging due to the difficulty of obtaining deep,
  high-redshift galaxy spectroscopy. This has changed with the advent of JWST, providing
  unprecedented views of early galaxies and their impact on surrounding gas through
  surveys such as EIGER (D. Kashino et al. 2023) and ASPIRE (F. Wang et al. 2023).
  First systematic studies of cool, low-ionization CGM traced by Mg ii around z ∼
  6 galaxies suggest that high-redshift CGM differs significantly from its low-redshift
  counterpart: these galaxies typically have low masses, and strong stellar feedback
  can eject metals far beyond the halo’s gravitational potential (R. Bordoloi et al.
  2024). Such pioneering studies now allow systematic investigations of the CGM in
  the early Universe.\r\n\r\nThe UV background during reionization was inhomogeneous
  and rapidly evolving (e.g., S. R. Furlanetto & S. P. Oh 2005; B. D. Oppenheimer
  et al. 2009; K. Finlator et al. 2013; G. D. Becker et al. 2015; S. E. I. Bosman
  et al. 2022), initially dominated by Population III stars (K. Nakajima & R. Maiolino
  2022; K. Nakajima et al. 2025), then by early star-forming galaxies (L. Jiang et
  al. 2022; J. Matthee et al. 2022), with active galactic nuclei (AGN) contributing
  significantly by z ∼ 5 (A. D’Aloisio et al. 2017; G. Kulkarni et al. 2019; C.-A.
  Faucher-Giguère 2020). Modeling indicates that pockets of Population III star formation
  may persist throughout the Epoch of Reionization (L. Tornatore et al. 2007; R. H.
  Mebane et al. 2018; J. L. Johnson & A. Aykutalp 2019; A. Venditti et al. 2023; O.
  Zier et al. 2025).\r\n\r\nThe large reservoir of neutral O i observed in quasar
  absorption lines at high redshift is typically self-shielded, providing robust estimates
  of chemical abundances. Studying the association of these absorbers with galaxies
  offers unique insight into the CGM of early galaxies, and into potential contributions
  from Population III stars to early chemical enrichment.\r\n\r\nIn this work, we
  study the cool, neutral CGM around galaxies at z ∼ 6, traced by O i absorption from
  the EIGER survey (D. Kashino et al. 2023). We focus on O i absorbers associated
  with [O iii]5008-emitting galaxies at 5.875 <z < 6.378 within 300 kpc of six background
  quasars. We quantify absorber incidence, column densities, and mass estimates, and
  analyze ionic abundances to probe chemical enrichment, including potential contributions
  from Population III stars.\r\n\r\nThis paper is organized as follows. Section 2
  describes the observations; Section 3 details our methods for galaxy selection,
  redshift estimation, galaxy properties, defining galaxy overdensities, absorber
  measurements, and completeness; Section 4 presents the results, including the association
  of O i absorption with galaxies, the incidence of galaxy-associated O i absorbers,
  their chemical abundances, and physical interpretations; Section 5 summarizes our
  conclusions. Throughout, we adopt a ΛCDM cosmology with H0 = 67.66 km s−1 Mpc−1
  (Planck Collaboration et al. 2020).\r\n\r\n2. Observations\r\nEIGER (Program ID
  1243; PI: S. J. Lilly) is a large JWST Wide Field Slitless Spectroscopy (WFSS) program
  totaling 126.5 hr, conducting deep WFSS observations in six extragalactic fields,
  each centered on an ultraluminous quasar at z ≥ 6. These quasars have also been
  observed with deep optical and NIR medium- and high-resolution spectroscopy with
  Magellan/FIRE, Very Large Telescope/X-shooter, and Keck High Resolution Echelle
  Spectrometer (HIRES)/MOSFIRE, providing over 100 hr of complementary NIR spectroscopy
  across the six sight lines. We refer the reader to A.-C. Eilers et al. (2023) and
  A.-C. Ďurovčíková et al. (2025) for data reduction and details of the ground-based
  quasar spectroscopy. In addition, all fields are covered by deep JWST/NIRCam and
  HST imaging. A detailed description of the survey design, methodology, and spectroscopic
  and photometric observation details is provided in D. Kashino et al. (2023), J.
  Matthee et al. (2023), and R. Bordoloi et al. (2024). In this work, we make use
  of the complete EIGER survey of z ≥ 5.9 galaxies spanning all six extragalactic
  fields (D. Kashino et al. 2026).\r\n\r\nWe note that all six quasars were chosen
  with prior knowledge of metal absorption systems along their lines of sight, which
  could in principle bias any attempt to associate galaxies with those absorbers.
  In contrast, a galaxy-centric approach starts with quasar–galaxy pairs without prior
  knowledge of absorption and then builds statistics systematically (see e.g., R.
  Bordoloi et al. 2011; J. K. Werk et al. 2013; R. Bordoloi et al. 2014). However,
  once a blind, well-characterized galaxy survey is in place, the two approaches converge.
  This is conceptually similar to a program that combines quasar spectroscopy performed
  without prior absorber selection with a complete galaxy survey. This work employs
  deep blind galaxy searches in each of the EIGER fields, yielding an emission-line
  complete sample of spectroscopic galaxies (J. Matthee et al. 2022; R. Bordoloi et
  al. 2024) and a complete census of absorption lines along these sight lines (Section
  3.5). By combining these two elements—a galaxy survey with quantified completeness
  and an absorption survey with well-defined sensitivity—we establish a robust framework
  for conducting a census of CGM absorption around galaxies. This combined approach
  has been successfully demonstrated at low redshifts (J. N. Burchett et al. 2019).\r\n\r\n3.
  Methods\r\nIn this section, we describe how galaxy redshifts and properties are
  measured and how absorption lines are identified and measured.\r\n\r\n3.1. Galaxy
  Redshifts\r\nSince our focus is on galaxies at z ∼ 6 near the quasar sight lines,
  we begin with the full EIGER catalog of [O iii] emitters (D. Kashino et al. 2026),
  which contains 948 galaxies detected via [O iii] emission within 5.33 ≤ z ≤ 6.97.
  From this catalog, we select galaxies that (1) lie at least 10,000 km s−1 in the
  foreground of each quasar , (2) are within a projected impact parameter of 300 pkpc,
  and (3) have O i λ1302 coverage in the quasar NIR spectra outside of the Gunn–Peterson
  trough. This yields a sample of 40 galaxies. Of these, 33 fall within the central
  of the EIGER spectroscopic footprint (R. Bordoloi et al. 2024), observed with both
  JWST/NIRCam reverse grism modules (A and B). Because the two modules disperse light
  in opposite directions, they provide independent moderate-resolution (R ∼ 1500)
  spectra of the same target, enabling us to assess redshift measurement uncertainties.\r\n\r\nFollowing
  the procedure in R. Bordoloi et al. (2024), we visually inspect each NIRCam 2D spectrum
  using the custom Python application programming interface (API) zgui(R. Bordoloi
  et al. 2025), extract 1D spectra from each module, and fit Gaussians to the emission
  line to determine redshifts. Redshifts from the two modules are consistent with
  a mean velocity offset of Δv = 9.3 km s−1 with a standard deviation of 24 km s−1
  (Figure 1). We therefore adopt an average redshift uncertainty of ≈24 km s−1 for
  the [O iii] emitters, sufficient for associating metal absorption systems with their
  host galaxies. Hereafter, we focus on this sample of 40 galaxies.\r\n\r\nZoom InZoom
  OutReset image size\r\nFigure 1. Redshift uncertainty distribution of the [O iii]
  emitter EIGER galaxies. The histogram shows the difference in redshift between emission-line
  measurements from NIRCam Grism Module A and Module B spectra, expressed in km s−1.
  Individual redshifts were derived from Gaussian fits to the [O iii] and Hβ lines.
  The two modules yield consistent results with a mean offset and standard deviation
  of Δz = 0.0028 ± 0.0073 (Δv = 9.3 ± 24 km s−1).\r\n\r\nDownload figure:\r\n\r\nStandard
  image\r\nHigh-resolution image\r\n3.2. Galaxy Stellar Mass, Star formation Rate,
  Halo Mass\r\nTo estimate galaxy stellar masses and star formation rates (SFRs),
  we follow the procedure of J. Matthee et al. (2022). We first measure the [O iii]
  and Hβ emission-line fluxes of each galaxy, and combine these with JWST/NIRCam broadband
  photometry (F115W, F200W, and F356W) to perform spectral energy distribution fitting
  at the galaxy redshift using the Prospector code (B. D. Johnson et al. 2021). We
  assume a G. Chabrier (2003) initial mass function (IMF), adopt MIST isochrones (J.
  Choi et al. 2016; A. Dotter 2016), a nonparametric star formation history model
  (R. P. Naidu et al. 2024), and the dust attenuation curve of D. Calzetti et al.
  (2000). Galaxy SFRs are derived by averaging over the most recent 50 Myr of star
  formation history from the Prospector posteriors.\r\n\r\nFigure 2 (left) shows the
  impact parameter distribution of the 40 EIGER galaxies relative to the background
  quasars (black star symbols). The galaxies are randomly distributed with respect
  to the quasar sight lines. The right panel shows their stellar masses and SFRs,
  with symbols color coded by galaxy redshift. Following R. Bordoloi et al. (2024),
  we estimate halo masses and virial radii (Rvir) using abundance matching from P.
  Behroozi et al. (2019). Uncertainties in Rvir are propagated from the 16th and 84th
  percentile stellar mass errors, giving a mean uncertainty of ΔRvir = 1.8 kpc. The
  galaxies span stellar masses of and SFRs of , with all systems being star-forming
  by selection.\r\n\r\nZoom InZoom OutReset image size\r\nFigure 2. Properties of
  40 spectroscopically confirmed galaxies at 5.9 ≤ z ≤ 6.4 within 300 kpc of background
  quasars in the EIGER survey. Each square denotes a galaxy and is color coded by
  redshift. Left: angular positions and impact parameters relative to the background
  quasar (black star), with dashed concentric rings marking 100, 200, and 300 kpc
  at z = 6. Right: stellar mass vs. SFR, averaged over the last 50 Myr. Error bars
  show the 16th–84th percentile uncertainties in stellar mass and SFR.\r\n\r\nDownload
  figure:\r\n\r\nStandard image\r\nHigh-resolution image\r\nOne galaxy (z = 5.910384,
  galaxyID = 15362, qsoID = J159) has an exceptionally high stellar mass of , beyond
  the calibrated range of the P. Behroozi et al. (2019) relation. This object exhibits
  a compact, pointlike morphology and likely hosts an obscured AGN, placing it among
  the recently identified population of little red dots (LRDs; e.g., J. Matthee et
  al. 2024). We do not detect broad Hβ for this object. However, this is not unexpected,
  as LRDs can have Hα/Hβ values as high as ∼10 (M. Brooks et al. (2025; A. Torralba
  et al. 2026, in preparation). As robust AGN modeling at these redshifts is not yet
  established, we estimated its halo mass by linearly extrapolating the P. Behroozi
  et al. (2019) relation from the stable stellar mass regime. We explicitly note where
  this assumption may affect our results in the following sections. Additionally,
  this galaxy has not been plotted in the right panel of 2.\r\n\r\n3.3. Galaxy Overdensities\r\nA
  significant fraction of z ≥ 6 galaxies in the EIGER survey are not isolated but
  are found in overdense environments, either as mergers or members of “protogroups”
  (see, e.g., D. Kashino et al. 2026). The EIGER [O iii] galaxy catalog already merges
  individual [O iii] emission clumps within 2″ into a single system, even when they
  exhibit complex morphologies or merger signatures. To identify larger-scale overdensities,
  we therefore search for galaxies that lie at similar redshifts but are widely separated
  on the sky.\r\n\r\nWithin 300 kpc from the QSO sight lines, we identify overdensities
  around the 40 selected EIGER galaxies using a friends-of-friends algorithm (R. Bordoloi
  et al. 2025). Galaxies are grouped as an overdensity if they lie within 1 pMpc in
  projected separation and within ±1000 km s−1 in redshift space. A galaxy is considered
  part of an overdensity only if all members are “fully” connected, i.e., each galaxy
  in the overdensity satisfies these conditions with all other members. Around each
  detected O i absorption system, we further search for overdensities within ±1500
  km s−1 of the absorber redshift, and merge these associations to ensure all clustered
  galaxies are treated as a single overdensity. This conservative approach ensures
  that we capture the full galaxy environment of O i absorbers. The 40 galaxies studied
  in this work are part of 15 distinct overdensities, with each grouping containing
  1–5 members. The number of galaxies in each grouping is reported in Table 1. The
  typical velocity dispersion of these overdensities is 449.2 km s−1.\r\n\r\nTable
  1. O i Absorption Lines and Associated Galaxy Properties\r\n\r\nLabel\tQuasar\tzgala\tR\t〈v〉b\t#c\tzO
  I\t\t\t\t\t\r\n \t \t \t(kpc)\t(km s−1)\tGalaxies\t \t(cm−2)\t(cm−2)\t(cm−2)\t(cm−2)\t(cm−2)\r\n(1)\t(2)\t(3)\t(4)\t(5)\t(6)\t(7)\t(8)\t(9)\t(10)\t(11)\t(12)\r\na\tJ0100\t5.941\t119.6\t157\t5\t5.945\t\t\t\t\t\r\nb\tJ1148\t6.008\t157.5\t130\t3\t6.011\t\td\t\t\t\r\nc\tJ159\t5.934\t25.2\t−920\t5\t5.913\t\t\t\t⋯\t⋯\r\nd\tJ159\t6.049\t40.8\t230\t2\t6.054\t\t<13.12\t\t⋯\t⋯\r\ne\tJ1030\t6.075\t147.9\t−131\t2\t6.076\te\t\t\t⋯\t⋯\r\nNotes.
  The galaxies listed are the primary members of groups with detections at the lowest
  impact parameter from the host quasar. aRedshift of the primary member of the overdensity.
  bVelocity offset of O i relative to the primary member galaxy of the overdensity.
  cNumber of galaxy members in the overdensity. dFor this system, Si II λ1304 was
  not present, so the value given here is derived from fitting Si II λ1526. eThis
  system is blended; see discussion in Section 3.4.\r\n\r\nDownload table as: \r\nASCII\r\nTypeset
  image\r\n\r\nThroughout this work, we define the galaxy with the smallest impact
  parameter to the background quasar sight line within each galaxy overdensity as
  the primary member. This convention is adopted solely to simplify the presentation
  and does not imply a unique physical association between the intervening absorption
  system and this galaxy. In fact, the concept of a unique absorber–galaxy association
  at high redshift is significantly less robust than in the low-redshift Universe
  (e.g., R. Bordoloi et al. 2024). As discussed in Section 4.1, none of the O i absorption
  systems lie within the virial radius of any individual halo. Even at low redshift,
  the galaxy with the smallest impact parameter is not necessarily the one with the
  smallest velocity offset from the absorber, and therefore does not constitute evidence
  for a unique absorber–galaxy pair (A. Hamanowicz et al. 2020). This behavior is
  also observed for galaxies residing in groups (R. Bordoloi et al. 2011). Our analysis,
  therefore, focuses on the broader environment, which we argue is most appropriately
  characterized by galaxy overdensities, and our choice of a primary galaxy does not
  affect our main conclusions.\r\n\r\n3.4. Absorption-line Detection and Measurements\r\nWe
  follow the procedures outlined in R. Bordoloi et al. (2024) to identify and measure
  the strength of O i absorption systems around EIGER galaxies, and provide a brief
  summary here. We first use a custom Python-based 1D spectrum viewer to identify
  and tabulate all intervening absorption lines in the EIGER quasar spectra. A semiautomated
  CGM absorption-line analysis pipeline is then used to perform the measurements.
  For each galaxy, we extract a ±1500 km s−1 spectral window centered on its systemic
  redshift, for all transitions of interest. In this work, we analyze slices around
  O i λ1302, Si ii λ1260, Si ii λ1304, Si ii λ1527, C ii λ1334, Si iv λ1393, Si iv
  λ1402, C iv λ1548, and C iv λ1550. Each slice is locally continuum-normalized using
  an automated Legendre polynomial fit, with the polynomial order chosen via the Bayesian
  Information Criterion. The continuum fits and absorption features are visually inspected,
  and both rest-frame equivalent widths (Wr) and apparent optical depth (AOD) column
  densities are measured. We define a detection as any absorption system with Wr ≥
  3σw, where σw is the 1σ uncertainty in Wr. We note that this uncertainty contains
  both the statistical uncertainty due to the signal-to-noise ratio of the data and
  the continuum-fitting uncertainty. Nondetections are reported as 2σw upper limits
  measured within ±100 km s−1 of the systemic redshift of the galaxy. For column density,
  we report the 2σ uncertainty on AOD column density as an upper limit on nondetections.
  When a transition is detected in multiple instruments, each spectrum is analyzed
  independently, and the inverse-variance-weighted mean is adopted as the final Wr.
  The details of this automated approach and full documentation of the APIs used can
  be found in R. Bordoloi et al. (2025).\r\n\r\nFor all detections, we perform Voigt
  profile fitting using the rbvfit package, which employs Markov Chain Monte Carlo
  (MCMC) sampling to simultaneously fit multiple absorption systems across different
  instruments (R. Bordoloi & J. Higginson 2025). This approach yields robust column
  densities, resolves the kinematic structure, and enables accurate modeling of blended
  lines. Additionally, since we obtain a marginalized posterior distribution for the
  fitted parameters, the results yield accurate column density estimates even if the
  Doppler b parameter or velocity centroids are not well constrained in moderate-resolution
  spectra (see discussion in R. Bordoloi et al. 2024). In our case, most of the O
  i Si ii C ii transitions are all covered by higher-resolution HIRES spectroscopy
  and thus their properties are well constrained. rbvfit supports two MCMC samplers,
  emcee (D. Foreman-Mackey et al. 2013) and zeus (M. Karamanis et al. 2021; M. Karamanis
  & F. Beutler 2020), both of which are used in this work depending on the complexity
  of the fit. We typically adopt 50 walkers with initial perturbations of either 10−3
  or 10−6, and default chain lengths of 8000–20,000 steps, ensuring the total number
  of steps exceeds 50 times the autocorrelation time. Additional steps are run as
  needed to achieve convergence. In each case, a flat prior is assumed with reasonable
  physical bounds.\r\n\r\nFigure 3 shows an example of Voigt profile fits to O i λ1302
  and Si ii λ1304 lines simultaneously modeled across FIRE, X-shooter, and HIRES.
  We fit a two-component Voigt profile with a mean velocity offset from the host galaxy
  of voffset =  157 km s−1 . This joint fitting maximizes information from all instruments
  while preserving the kinematic detail provided by higher-resolution data. Galaxy
  overdensities associated with this system are marked with green vertical ticks.
  This system has a total O i column density 13.46. All other O i fits are presented
  in Figure 8. All absorption-line measurements are presented in Table 1.\r\n\r\nZoom
  InZoom OutReset image size\r\nFigure 3. Voigt profile fits to O i and Si ii absorption
  profiles at z = 5.945 toward the quasar SDSS J0100+2802. Shown are the flux (black),
  error spectrum (red), best-fit Voigt model (orange/black), and individual Voigt
  components (thin blue), using data from FIRE, X-shooter, and HIRES. Vertical green
  lines mark galaxy members of the associated overdensity. Spectra from all instruments
  and all transitions are simultaneously fit using the rbvfit Bayesian absorption-line
  fitter.\r\n\r\nDownload figure:\r\n\r\nStandard image\r\nHigh-resolution image\r\nWe
  note that an O i and Si ii absorption system is detected along the J1030 quasar
  sight line at z ∼ 6.075, blended with an intervening C iv absorber at z ∼ 4.948
  (Figure 8, top left panels; see also C. G. Díaz et al. 2021). The z ∼ 6.076 system
  is confirmed by the independent detection of Si ii, Mg ii, C ii, and Fe ii absorption
  in FIRE and X-shooter data, and we simultaneously fit the C iv, O i, and Si ii systems
  across three instruments. Although the proximity of the C iv doublet in wavelength
  space introduces an inherent degeneracy with the O i and Si ii pair, high-resolution
  HIRES data reveal sufficient kinematic substructure to warrant an additional component
  at a mean velocity offset of voffset = –85.4 km s−1. We interpret this component
  as O i, supported by the aforementioned coincident detections. To constrain the
  system, we use the secondary lines to fix the velocity centroid of the O i component
  and perform simultaneous Voigt profile fitting across all three instruments, including
  both C iv transitions and single-component O i and Si ii models. The column density
  reported in this work corresponds to this singular O i component, and the system
  is marked with an asterisk in Table 1.\r\n\r\n3.5. O i Absorption Detection Completeness\r\nWe
  quantify the completeness of O i absorption detection around each galaxy as follows.
  For each galaxy overdensity, we compute the detection sensitivity on a pixel-by-pixel
  basis following the general framework of, e.g., K. M. Lanzetta et al. (1987), M.
  L. Bernet et al. (2010), and N. L. Mathes et al. (2017). In particular, we use a
  continuum-normalized spectral slice of ±1500 km s−1 centered on the expected O i
  absorption at the redshift of each galaxy overdensity.\r\n\r\nWe define the completeness
  in O i absorption detection in a single instrument as\r\n\r\nwhere H is the Heaviside
  step function, and is the equivalent-width cutoff at which completeness is defined.
  We adopt Å to facilitate comparison with the literature (see Section 4.2). Nσ is
  the detection threshold, which we set to Nσ = 3 by convention. The equivalent-width
  error, σEW(z), is given by\r\n\r\nwhere Δλj is the wavelength spacing between adjacent
  pixels (set by the spectrograph), and npix is the number of pixels over which the
  equivalent width is computed. We adopt the typical width of an O i absorber as npix
  for our analysis, yielding npix, X-shooter = 10, npix, HIRES = 50, and npix, FIRE
  = 11, respectively. This is a conservative approach to calculating completeness,
  as the typical width of the absorbers is larger than the resolving power of the
  instruments. We neglect continuum-fitting errors, so σEW(z) reflects only statistical
  uncertainties from the spectra. Any chip gaps or sky lines are masked. σI and Ic
  are the flux uncertainty and continuum levels of the spectrum.\r\n\r\nFor galaxy
  overdensities observed with multiple spectrographs, we define the combined completeness
  as requiring detection in at least one instrument across the relevant wavelength
  range. For example, with three or more instruments available,\r\n\r\nwhere the logical
  OR (∨) runs over all instruments i ∈ X-shooter, FIRE, HIRES. We then compute the
  mean completeness for each overdensity, and obtain the overall mean completeness,
  , by averaging over all overdensities weighted by their wavelength coverage. This
  yields a mean completeness of 91.4% for O i absorption around galaxy overdensities
  in the EIGER survey for 0.05 Å.\r\n\r\n4. Results\r\nIn this section, we present
  the variation of O i absorption around z ∼ 6 galaxies, the incidence of O i absorption
  per comoving path length that is due to O i absorption around galaxies, and the
  chemical abundance of these systems.\r\n\r\n4.1. Variation of O i Absorption around
  Galaxies\r\nSince all 40 galaxies in our sample reside within 15 identified overdensities
  (Section 3.3), we investigate whether O i absorption is preferentially detected
  in these environments. For clarity, we show the primary galaxy in each overdensity
  (as defined in Section 3.3) when presenting the radial distribution of O i absorption.
  Out of the 15 overdensities, 5 show associated O i absorption.\r\n\r\nFigure 4 shows
  the 2D spatial distribution of galaxies around these five detected systems, with
  the size depicting the virial radii of the galaxies. The galaxies are randomly distributed
  around the absorbers, and we do not find correlations with stellar mass, star formation,
  or other galaxy properties. In all five cases where we have O i detection, the galaxy
  member with the minimum impact parameter is also the member with the lowest R/Rvir.\r\n\r\nZoom
  InZoom OutReset image size\r\nFigure 4. Galaxy overdensities around z ∼ 6 O i absorbers
  in the EIGER survey. Each panel shows the background quasar (red star) at the center,
  with foreground galaxies associated with O i absorption marked as circles. Circles
  are color coded by the velocity offset between the galaxy and the O i absorber,
  and circle sizes are scaled to their virial radii. Only galaxies within 300 kpc
  of the quasar are shown, highlighting the overdensities nearest the absorbers. Dashed
  circles denote projected impact parameters of 50, 100, 200, and 300 pkpc from the
  quasar.\r\n\r\nDownload figure:\r\n\r\nStandard image\r\nHigh-resolution image\r\nFigure
  5 presents 1D the radial profiles around the primary galaxies in these systems.
  The marker size indicates the number of member galaxies in each overdensity, while
  the color encodes the velocity offset from the corresponding O i absorption. Panels
  (a) and (c) show impact parameter (R), and panels (b) and (d) show the same distribution
  normalized by the halo virial radius (R/Rvir).\r\n\r\nZoom InZoom OutReset image
  size\r\nFigure 5. Radial absorption profiles of O i absorption at z ∼ 6. Each point
  marks the impact parameter to the nearest galaxy in a galaxy overdensity, with all
  detected O i absorption arising in such environments. Overdensities with O i absorption
  are shown as circles, while nondetections (2σ limits) are indicated by downward
  arrows. Points are color coded by the velocity offset between the galaxy redshift
  and the O i absorber, and their size scales with the number of members in the overdensity.
  The mean uncertainty on the virial radius is ΔRvir = 1.81 kpc. Top panels: rest-frame
  equivalent width vs. impact parameter (R, left) and normalized impact parameter
  (R/Rvir, right). Bottom panels: same as above, but for O i column densities.\r\n\r\nDownload
  figure:\r\n\r\nStandard image\r\nHigh-resolution image\r\nMost of the O i detections
  occur within R ≲ 175 kpc of the primary galaxy, corresponding to an incidence rate
  of , estimated using 68% Wilson score confidence intervals. Within 100 kpc, the
  incidence is , increasing to for R ≤ 50 kpc. Conversely, at R  >  150 kpc, an incidence
  of is measured. Within 300 kpc of the primary galaxy, the overall incidence is ,
  with values of for 50 ≤ R ≤ 300 kpc and for 100 ≤ R ≤ 300 kpc. These rates are substantially
  weaker than the incidence of strong Mg ii absorption at z ∼ 6 (R. Bordoloi et al.
  2024), indicating that neutral oxygen preferentially traces a different phase of
  the circumgalactic environment.\r\n\r\nPanels (b) and (d) reveal that O i absorbers
  are typically located at much larger R/Rvir than strong low-ionization tracers such
  as Mg ii. This distinction suggests that O i absorption at z ∼ 6 is not confined
  to the CGM of an individual galaxy but instead reflects the larger-scale gaseous
  environment of galaxy overdensities—what might be described as “cosmic ecosystems”
  rather than isolated halos.\r\n\r\nComparing the stellar mass distributions of overdensities
  with and without O i absorption, we find no statistically significant differences.
  The mean stellar mass of galaxies in overdensities with absorption is , compared
  to for those without.\r\n\r\nWe emphasize that at z ∼ 6, the large R/Rvir values
  of these halos imply that O i absorption typically arises at scales well beyond
  the typical CGM [R/Rvir ≲ 1] (J. Tumlinson et al. 2017) probed by low-ionization
  lines at lower redshift. Unlike the low-z CGM, where metal absorbers are closely
  tied to the halo of a single massive galaxy, the O i absorbers studied here appear
  to be linked to extended networks of low-mass, young galaxies embedded in shared
  overdensities. Over cosmic time, these small systems and their diffuse gaseous environments
  are expected to merge and evolve into more massive systems, eventually forming Milky
  Way–like galaxies by z = 0. Thus, neutral O i at reionization is best understood
  not as a tracer of isolated galactic halos, but as a probe of the extended environments
  that connect galaxies, gas, and structure growth in the early Universe.\r\n\r\nBecause
  O i absorption traces dense, neutral gas and requires only minimal ionization corrections,
  we can place a conservative lower limit on the total oxygen mass associated with
  the EIGER galaxies. These estimates are intended as simple, order-of-magnitude calculations
  to provide intuition about the amount of neutral oxygen relative to the observed
  galaxy properties. Following the formalism of R. Bordoloi et al. (2014), the oxygen
  mass contained in an annulus bounded by Rin and Rout is\r\n\r\nwhere Rin and Rout
  are the inner and outer radii of the annulus, fc is the covering fraction (the incidence
  of O i detections in that bin), 〈NOI〉 is the mean O i column density in the annulus,
  and mO = 16 mp is the mass of an oxygen atom, with mp being the mass of a proton.
  For a conservative lower limit, we adopt fion = 1, where fion is the ionization
  fraction (i.e., we assume that all of the oxygen mass is in the neutral phase).
  We justify this assumption as follows: O i is tightly coupled to H i through charge
  exchange, and in dense gas, the required ionization correction is minor, even under
  strong radiation fields such as the Fermi Bubbles (R. Bordoloi et al. 2017; T. Ashley
  et al. 2022). Under a typical metagalactic UV background, it is generally less than
  10% and does not significantly alter the inferred oxygen abundance. In addition,
  oxygen does not deplete onto dust grains, unlike Si or C. For these reasons, we
  consider the approximation NO,total ≈ NOI to be valid for our analysis.\r\n\r\nWe
  compute masses in two radial bins: 0–100 kpc and 100–300 kpc, respectively. The
  total oxygen mass within radius is obtained by summing the masses of the constituent
  annuli. This yields a strict lower limit of  ≳  2 ×106M⊙ on the total oxygen mass
  within = 300 kpc.\r\n\r\nWe compare the inferred oxygen mass in the extended environment
  of our sample with the total oxygen content in the interstellar medium (ISM) of
  a typical z ∼ 6 galaxy. In computing this quantity, we make the following assumptions.
  First, we assume that all galaxies in this work lie on the typical z ∼ 6 mass–metallicity
  relation, derived by stacking [O iii] emitter galaxies (J. Matthee et al. 2022),
  and we adopt the gas-phase metallicity from this relation for each galaxy.\r\n\r\nBecause
  direct measurements of the total H2 and H i gas content are not available at these
  redshifts, we extrapolate the molecular gas fraction from L. J. Tacconi et al. (2018)
  to z ∼ 6 and adopt a conservative H i gas fraction based on local observations (S.
  Huang et al. 2012). We note that high-z galaxies are likely more gas-rich than their
  local counterparts; therefore, the inferred ISM gas masses should be considered
  lower limits.\r\n\r\nWith these caveats in mind, we estimate the total ISM oxygen
  mass as\r\n\r\nwhere we define . Here, XO is the gas-phase oxygen abundance derived
  from the mass–metallicity relation, and and MHI are the molecular and atomic gas
  masses derived as described above. For our galaxy sample, the mean stellar mass
  is , corresponding to an ISM oxygen mass of MO,ISM  ≳  6.8 × 105 M⊙. Remarkably,
  this indicates that the typical ISM oxygen content is comparable to the oxygen mass
  in the extended environment around these galaxies, implying that the circumgalactic
  or intergalactic medium at z ∼ 6 contains a substantial reservoir of oxygen. While
  these estimates depend on several specific assumptions, the inferred ISM and CGM
  oxygen masses appear to be of similar magnitude.\r\n\r\nAt low redshift, both L*
  and sub-L* galaxies similarly exhibit substantial metal content in their circumgalactic
  medium (CGM), with the CGM containing at least as much metal as the ISM of their
  host galaxies (J. Tumlinson et al. 2011; R. Bordoloi et al. 2014). A key difference
  is that, whereas the low-z CGM is typically gravitationally bound to its host galaxy,
  at high redshift much of the gas exists in the extended environment of galaxy overdensities
  rather than being bound to individual galaxies (see also R. Bordoloi et al. 2024).\r\n\r\n4.2.
  Expected Incidence of O i Absorbers\r\nIn this section, we report the expected redshift-path
  incidence of O i absorbers around [O iii] emitting galaxies detected in the EIGER
  survey. We define the number of O i absorbers associated with each galaxy overdensity
  per unit absorption distance above a detection threshold (WOI ≥ 0.05Å ) as\r\n\r\n\r\nHere,
  Rmax = 300 kpc is the survey radius adopted in this work, and is the mean O i absorber
  detection completeness (see Section 3.5; 91.4% for WOI ≥ 0.05 Å). nOD is defined
  as\r\n\r\n\r\nngal is the number density of [O iii] emitting galaxies per unit comoving
  volume, estimated from the [O iii] luminosity function at z ∼ 6. And 〈overdensity
  size〉 is simply the mean number of galaxies in each galaxy overdensity empirically
  measured to be 〈overdensity size〉 = 2.67. fc is the O i absorption covering fraction
  within 300 kpc for WOI ≥ 0.05 Å (). (The covering fraction within 300 kpc is independent
  of the definition of the primary member.)\r\n\r\nTo estimate the number density
  of galaxies per unit comoving volume (ngal), we integrate the z ∼ 6 [O iii] luminosity
  function derived from the EIGER survey, with a minimum luminosity of Lmin = 1042.2
  ergs−1 (J. Matthee et al. 2022):\r\n\r\n\r\nwhere Φ(L) is the [O iii] luminosity
  function defined as\r\n\r\n\r\nHere, Φ* is the characteristic number density, L*
  is the characteristic luminosity, and α is the faint-end slope. We adopt Φ* = 10−4.02
  Mpc−3, L* = 1043.33 ergs−1, and α = −1.92, values derived from detailed completeness
  calculations of the EIGER [O iii]-emitting galaxies (R. Mackenzie et al. 2026, in
  preparation). This results in ngal = 8.586 × 10−04 Mpc−3. Using these values in
  Equation (6) yields , for O i absorption around galaxies at a mean galaxy redshift
  of 6.001.\r\n\r\nAll calculations in this section are performed with a detection
  threshold of WOI > 0.05Å, since the survey is highly complete down to this equivalent-width
  limit and because most of the literature surveys we compare against adopt the same
  threshold.\r\n\r\nWe emphasize that this approach differs from blind QSO absorption-line
  surveys (e.g., G. D. Becker et al. 2006; L. Christensen et al. 2023; A. M. Sebastian
  et al. 2024; A. Sodini et al. 2024), where all O i absorption-line systems along
  the full quasar redshift path are counted to compute dN/dX directly, under the assumption
  that the absorber cross section is contributed by all galaxies. In contrast, our
  method begins by defining the absorber cross section around galaxy overdensities
  and then estimating the corresponding contribution to dN/dX from the galaxy overdensities
  under study. Comparing these two approaches constrains the fraction of O i (or other
  metal) absorption systems that arise in the extended halos of these galaxies. Figure
  6 shows these literature measurements as colored circles, while the contribution
  to dN/dX around z ∼ 6 galaxy overdensities is indicated by an orange square. To
  quantify the relative contribution of galaxy overdensities, we fit a single power
  law to all literature values at z  >  4 (blue dashed line with shaded region). Comparing
  the dN/dX inferred from quasar absorption-line surveys at z ∼ 6 to our measured
  value, we find that O i dN/dX around z ∼ 6 EIGER galaxy environments account for
  35% ± 16% of all O i absorption-line systems detected in blind quasar surveys. This
  implies that [O iii] emitting galaxy environments at z ∼ 6 contribute roughly one-third
  of the O i absorption systems at that epoch. Although the EIGER QSOs were selected
  to have known absorption systems along their sight lines, the EIGER galaxy survey
  around these sight lines is highly complete and independent of this selection. Therefore,
  we can create an unbiased measurement of the absorption cross section (dN/dX) around
  these galaxy overdensities. We justify this comparison to blind absorption surveys
  in Section 2.\r\n\r\nZoom InZoom OutReset image size\r\nFigure 6. Incidence of O
  i absorbers per comoving path length, dN/dX. Values are derived from all O i absorption
  lines along high-z quasar sight lines. Literature measurements are shown from G.
  D. Becker et al. (2019; blue circles), L. Christensen et al. (2023; purple circles),
  and A. M. Sebastian et al. (2024; red circles). The blue dashed line shows a power-law
  fit to the z  > 4 literature data, with the shaded region marking the 1σ uncertainty.
  The orange square gives the inferred dN/dX when including only O i absorption associated
  with host galaxies (see Section 4.2), indicating that only ∼35% of O i absorbers
  at z ∼ 6 arise in galaxy environments.\r\n\r\nDownload figure:\r\n\r\nStandard image\r\nHigh-resolution
  image\r\nThis in turn suggests that ∼65% of the O i absorption systems detected
  along quasar sight lines at the epoch of reionization are not associated with [O
  iii] emitter galaxy overdensities. Either the bulk of O i absorption resides in
  isolated pockets of neutral IGM gas outside extended galaxy halos, or it is contributed
  by even lower-luminosity, less massive galaxies () that fall below the EIGER detection
  limits. Such systems may also be detected in galaxy halos that are oxygen-poor or
  lack strong [O iii] emission features, since our galaxy identifications primarily
  rely on [O iii] and Hβ emission lines.\r\n\r\nSimulations suggest that O i absorption
  should primarily arise in galactic halos rather than in the diffuse IGM, since metals
  are not widely distributed and ionization fronts propagate more quickly than metals
  (B. D. Oppenheimer et al. 2009; K. Finlator et al. 2013). Very low-mass protogalaxies
  forming their first stars may blur the boundary between IGM and CGM, enriching their
  surroundings with metals, especially if their star formation is bursty and prolific.
  If sufficiently numerous, such systems could contribute a nonnegligible fraction
  of oxygen in the early Universe.\r\n\r\nRecent observations support this possibility.
  K. Nakajima et al. (2025) reported a strongly lensed (μ = 98) galaxy at z ≈ 6.6
  with a stellar mass upper limit of only ∼2700 M⊙ and a dynamical mass ∼100 times
  larger. The source shows emission and may be dominated by Population III stars.
  This provides direct evidence of oxygen production in extremely low-mass systems.
  A population of such ultralow-mass dwarf galaxies could plausibly account for the
  ∼65% of O i absorbers detected along quasar sight lines that are not associated
  with galaxies in our survey. Our sensitivity limit of (J. Matthee et al. 2022) means
  such dwarfs remain undetected. However, these galaxies may lack a dense enough CGM
  to shield neutral O i from the UV background; thus, even if they produce oxygen,
  neutral O i may not survive (K. Finlator et al. 2013). Interestingly, simulations
  by S. Kušmić et al. (2024) showed that the contribution of metal ions, including
  O i, is only weakly correlated with the stellar mass of the galaxy, and the contribution
  is indistinguishable when comparing across galaxy luminosities. Additionally, they
  argue that due to the steep slope of the stellar mass function, lower-mass, lower-luminosity
  galaxies contribute the majority of absorbing metal ions in the CGM and IGM.\r\n\r\nLater
  simulation works by C. Doughty et al. (2018); C. Doughty & K. Finlator (2019) suggest
  that as the Epoch of Reionization continues, O i will reduce overall but be preferentially
  found in higher column density regions close to halos, as they have a better ability
  to self-shield from ionizing photons. In fact, C. Doughty & K. Finlator (2019) found
  that at z = 6 the majority of O i mass was located in the ISM of galaxies and only
  ∼30% of O i mass was found in the CGM and IGM. In contrast, in this work, we find
  that a substantial (comparable to ISM mass) oxygen mass exists outside galaxies;
  however, we stress that our mass measurements are order-of-magnitude estimates.
  A more direct comparison between these simulations and this work is the covering
  fraction. They report ∼5%–25% covering fraction at z = 6 for O i with out to 102
  pkpc. In the EIGER survey, we report a covering fraction using a minimum threshold
  of WOI ≥ 0.05 Å (or approximately logNOI > 13.7 cm−2) out to 300 kpc. Given the
  large measurement uncertainties and different definitions of associated galaxies,
  the covering fractions are qualitatively consistent between the two works.\r\n\r\nThe
  simulations of K. Finlator et al. (2013) suggest that O i absorbers with are most
  likely associated with halos of mass ∼109 M⊙, where self-shielding is efficient.
  They further predict that only ∼13% of all O i absorption systems should reside
  in halos of 1010–1011.5 M⊙, the mass range of galaxies probed in this work. By contrast,
  we measure a higher dN/dX of ∼35%, but qualitatively our results remain consistent
  with the idea that roughly two-thirds of O i absorbers are associated with undetected
  ∼109 M⊙ halos. Future observations targeting lower-luminosity galaxies and higher
  redshifts will be essential to test these predictions.\r\n\r\nAfter the initial
  posting of this manuscript, G. Pruto et al. (2026) presented a simulation-based
  study that adopts the observational compilation shown in Figure 6 as a reference
  and explores the corresponding behavior in numerical models. Our minimum Wr threshold
  corresponds to ; therefore, the most appropriate comparison is with their sample.
  Qualitatively, the two sets of results are in agreement. A key distinction lies
  in the definition of galactic environment. We characterize environments in terms
  of galaxy overdensities, which we argue is the most appropriate description of where
  O i absorbers reside at z ≈ 6, whereas G. Pruto et al. (2026) define the CGM based
  on the virial radii of halos with . As a result, a direct quantitative comparison
  is not straightforward. Nevertheless, their inferred dN/dX corresponds to an incidence
  rate of O i absorbers of ∼58% ± 11%, which is consistent with our measurements within
  the uncertainties. This agreement may depend on their tighter constraints on absorber
  location and on the adopted minimum Wr or threshold. G. Pruto et al. (2026) further
  report that ∼80% of O i absorbers with are predicted to lie outside the CGM, also
  in qualitative agreement with our findings.\r\n\r\n4.3. Metal Abundances in O i
  absorber population\r\nIn this section, we examine the relative abundances and metal
  column density ratios of O i absorbers associated with galaxy overdensities, and
  compare them to O i absorbers without any associated galaxies. To enable a fair
  comparison, we restrict our analysis to the six quasar sight lines from the EIGER
  survey and identify all O i absorption systems in the redshift range where an [O
  iii]-emitting galaxy could be detected (5.9 ≤ zOI ≤ zQSO). We detect 10 O i absorption
  systems in total, 5 of which have associated galaxy overdensities (Table 1) and
  5 are without any identified galaxy association.\r\n\r\nWe first compare the ionic
  column density ratios in these two populations. Figure 7 (top panels) shows the
  ratios of NSiII/NOI and NCII/NOI as functions of NOI. Systems located near galaxy
  overdensities (blue squares) systematically show higher Si ii/O i and C ii/O i ratios
  compared to systems without associated overdensities (green crosses). This offset
  could reflect differences in metallicity, or alternatively, the effects of ionization.
  However, since the majority of these O i systems lack detectable high-ionization
  transitions, it is reasonable to assume that neutral oxygen and singly ionized silicon
  and carbon dominate the elemental reservoirs (see also L. Christensen et al. 2023).
  In those cases, the observed ionic ratios provide direct tracers of relative abundances.
  Two exceptions are found along the J0100 and J1148 sight lines, which do exhibit
  Si iv and C iv absorption; for these systems, the degeneracy between chemical composition
  and ionization corrections cannot be resolved. It is plausible that, on average,
  O i absorption found near galaxy overdensities has higher elemental abundance ratios
  as the non-galaxy-associated absorbers either have significantly lower-luminosity
  and less massive galaxies, which would be expected to produce less metal, or there
  are truly no galaxies associated with this population.\r\n\r\nZoom InZoom OutReset
  image size\r\nFigure 7. Top panels: ion column density ratios of Si ii to O i (left)
  and C ii to O i (right) as a function of the detected O i column densities, shown
  in logarithmic units. Absorbers associated with galaxy overdensities (blue squares)
  and those not associated with galaxy overdensities (green crosses) exhibit clear
  variations in their column density ratios. One sight line with no detected Si ii
  absorption is indicated with a downward arrow, where a 2σ upper limit on the column
  density is assumed. Bottom panel: relative abundance ratios [Si/O] vs. [C/O] with
  respect to solar abundance. The background contours show the IMF-weighted abundance
  distributions from Population II and Population III SN models. Orange and pink circles
  indicate abundance ratios predicted by low-metallicity Population II SN models.
  The abundance ratios of several O i absorbers associated with galaxy overdensities
  are consistent with a significant contribution from Population III SNe.\r\n\r\nDownload
  figure:\r\n\r\nStandard image\r\nHigh-resolution image\r\nWe next compute the relative
  abundances [Si/O] and [C/O], presented in the bottom panel of Figure 7. These abundances
  are defined as\r\n\r\n\r\nwhere NSi,tot and NC,tot represent the summed ionic column
  densities. For systems with detected high-ionization absorption (C iv or Si iv),
  we include both low- and high-ionization states (NSiII + NSiIV and NCII + NCIV),
  marking these measurements as lower limits (blue upward arrows in the figure) since
  additional undetected ionization states may be present. We note that in the two
  systems (a and b) exhibiting high-ionization absorption (see Table 1), the low-
  and high-ionization absorption components are offset in velocity by Δv = –66 km
  s−1 and –69 km s−1, respectively. These offsets are within ≲1.5 resolution elements
  of the instrument, and therefore we cannot statistically distinguish whether the
  low- and high-ionization components are kinematically distinct. This is suggestive
  of a complex, potentially multiphase gaseous environment in the outskirts of these
  galaxies. For systems without detected high-ionization transitions, we adopt NSiII
  and NCII as the dominant contributions. We assume NO,tot ≈ NOI, as ionization corrections
  for O i are typically very small at high O i column densities (see Section 4.1 for
  discussion). We adopt solar reference abundances of = −1.18 ± 0.05 and (M. Asplund
  et al. 2021).\r\n\r\nFigure 7 (bottom panel) reveals a striking separation between
  O i absorbers associated with galaxy overdensities (blue squares) and those without
  galaxy associations (green crosses). Systems near galaxies are found in the upper
  left of the [Si/O]–[C/O] diagram, with two cases exhibiting high-ionization absorption
  (lower abundance limits, blue arrows), which will offset them even farther from
  the locus of nongalaxy absorbers.\r\n\r\nWe place these abundance patterns in the
  context of chemical enrichment models from different stellar populations (see also
  L. Christensen et al. 2023). The contours and colored circles in Figure 7 highlight
  predicted [C/O] and [Si/O] yields from representative Population II and Population
  III supernova (SN) models, weighted by a Salpeter IMF. The weighting by number of
  stars predicted by an IMF is done to represent the typical observational relative
  abundance distribution in these models. These are not exhaustive but span the dominant
  theoretical expectations.\r\n\r\nPopulation III pair-instability SNe (PISNe; 140–260M⊙;
  light green contours) predict narrow [C/O] ≃ –0.7 and high [Si/O] values, inconsistent
  with any of our observed systems. Such PISNe are also expected to produce substantial
  amounts of iron-peak elements, leading to elevated Fe/O ratios (J. Tumlinson et
  al. 2004). We will investigate Mg ii and Fe ii absorption associated with z ∼ 6
  galaxies in an upcoming work (J. Higginson et al. 2026, in preparation). Models
  of massive Population III stars (10–100 M⊙) produce both hypernovae (gray contours;
  E > 1052 erg) and standard core-collapse SNe (light blue contours; A. Heger & S.
  E. Woosley 2010), spanning a broader region overlapping some of our measurements.
  We also consider Population II models: low-metallicity core-collapse SNe from M.
  Limongi & A. Chieffi (2018; orange contours, Population II SNe (L18)) occupy −0.25
  ≲ [C/O] ≲ 0.5 and −0.4 ≲ [Si/O] ≲ 0.4, overlapping parts of the Population III range,
  while the C. Kobayashi et al. (2006) yields (pink and orange circles for hypernovae
  and SNe, respectively) tend toward lower [Si/O] and [C/O].\r\n\r\nAgainst these
  predictions, the contrast between the two absorber populations is clear. All nongalaxy
  O i systems (green crosses) fall at the lower left of the diagram, consistent with
  enrichment from both Population II and/or Population III SNe models. This regime
  also overlaps with ultra-metal-poor damped Lyman-α absorbers (DLAs) at z ∼ 3 (−0.5
  ≲ [Si/O] ≲ 0, −0.5 ≲ [C/O] ≲ 0; R. Cooke et al. 2011; R. J. Cooke et al. 2017).
  By contrast, three of the five galaxy-associated absorbers lie well outside both
  the locus of Population II predictions and the locus of ultra-metal-poor DLA relative
  abundances. These systems are best explained if Population III enrichment played
  a major role, suggesting that they may represent a distinct population from ultra-metal-poor
  DLA host galaxies (see also A. Sodini et al. 2024).\r\n\r\nSimilarly, A. Sodini
  et al. (2024) found that the [C/O] and [Si/O] abundance ratios for high-redshift
  O i absorber systems are consistent with significant enrichment from Population
  III, with the majority explained by ≥ 30% contributions. They also find a large
  spread in the implied Population III contribution; several systems require ≥ 60%
  contributions, while others fall significantly below the average. This is a strong
  indication of heterogeneous chemical enrichment by Population III stars during the
  epoch of reionization.\r\n\r\nThe absorber toward J159 at z = 5.91 shows [C/O] =
  0.20, [Si/O] = 0.55 (labeled c), and no evidence of high-ionization absorption.
  These abundance ratios are best explained by contributions from Population III SNe
  or hypernovae. The absorber toward J1030 at z = 6.07 ([C/O] = −0.38, [Si/O] = 0.65,
  labeled e) also shows no high-ionization absorption. The relative abundances in
  these two predominantly neutral systems are therefore quite robust. Interestingly,
  the J1030 system is not reproduced by any single Population II or Population III
  model, suggesting that it may have experienced multiple enrichment episodes, producing
  unusually high [Si/O] coupled with low [C/O].\r\n\r\nTwo cases require special mention.
  The absorber toward J0100 at z = 5.94 shows [C/O] ≥ 0.42 and [Si/O] ≥ 0.67 (labeled
  a), with strong C iv and Si iv absorption. Since these are lower limits, ionization
  corrections (for carbon and silicon) would push this system further upward, strengthening
  the case for Population III contributions. This observation is best explained by
  contributions from Population III hypernovae models. The J1148 absorber at z = 6.01
  shows [C/O] ≥ 0.02 and [Si/O] ≥ 0.20 (labeled b), again with high-ionization lines;
  correcting for ionization would shift it diagonally upward in the diagram. Taken
  together, four of the five galaxy-associated absorbers show relative abundances
  that cannot be explained by Population II models alone, pointing instead to significant
  enrichment from Population III SNe or hypernovae.\r\n\r\nThus, most galaxy-associated
  O i systems carry signatures of Population III enrichment. These results suggest
  that O i systems tracing galaxy overdensities at z ∼ 6 carry chemical signatures
  of Population III enrichment, likely from multiple SNe events rather than a single
  explosion. The elevated [Si/O] and [C/O] ratios in these environments imply that
  [O iii]—emitting galaxies at this epoch may retain significant Population III contributions,
  and that metal-line absorbers around such overdensities provide a powerful probe
  of the first generations of stars.\r\n\r\n4.4. Comparison to the z ≈ 0 Universe\r\nAt
  z ∼ 6, we cannot directly detect the local environments where O i absorption systems
  arise. However, at z ∼ 0, there are instances where the environments giving rise
  to O i absorption are well understood. Here, we discuss several such instances and
  compare them with z ∼ 6 observations. Such comparisons can provide useful insights
  regarding the nature of local environments within which O i systems exist at high
  z. We focus on O i absorption associated with local blue compact dwarf (BCD) galaxies
  and the Magellanic Stream (MS), owing to their low metallicities and well-characterized
  local environments.\r\n\r\nThere is evidence that O i is found preferentially in
  the H ii regions of local BCDs, with their H i regions being pristine or showing
  very low levels of enrichment (D. Kunth et al. 1994; M. Pettini & K. Lipman 1995;
  T. X. Thuan & Y. I. Izotov 1997). In particular, T. X. Thuan & Y. I. Izotov (1997)
  report that, to varying degrees, low-ionization metal lines (e.g., O i and Si ii)
  reside in the ionized hydrogen regions of BCDs rather than the neutral hydrogen
  regions. They report . Compared to the z ∼ 6 measurements in panel (b) of Figure
  7, the O i column density of the BCD is comparable, but the Si ii-to-O i ratio is
  inconsistent with the z ∼ 6 values. On the other hand, V. Lebouteiller et al. (2004)
  find that the H ii region of the BCD I Zw 36 has significantly higher metallicity
  than its H i region. However, inferred from velocity offsets, O i in that system
  is associated with the H i region. The reported O i column density of that BCD ()
  is approximately 2 orders of magnitude higher than the z ∼ 6 sample. Given the available
  evidence, we conclude that the observed z ∼ 6 O i absorption systems are not similar
  to local BCD systems and are unlikely to originate in H ii regions.\r\n\r\nThe MS
  is a filamentary trail of gas in the Local Group. Multiphase absorption-line observations
  from A. J. Fox et al. (2013) and P. Richter et al. (2013) support the argument that
  the MS was tidally stripped from the Magellanic Clouds approximately 2 Gyr ago.
  Inferences from the abundance ratios of alpha elements in the MS are best explained
  by contributions from massive stars via Type II SNe when the MS was still part of
  the Magellanic Clouds, although the presence of significant dust depletion makes
  further inferences into enrichment history difficult. An additional study of the
  MS (N. Kumari et al. 2015) reports abundance ratios in a compact high-velocity cloud
  (CHVC) that is believed to be associated with the MS. They find [Si/O] = −0.04 ±
  0.25 and [C/O] = −0.09 ± 0.23. When comparing these with the z ∼ 6 observations
  presented in panel (c) of Figure 7, we see that the CHVC abundance ratios occupy
  a different region of parameter space than the z ≈ 6 O i absorbers within identified
  galactic overdensities showing Population III enrichment signatures (points a, c,
  e). This discrepancy provides evidence that these z ∼ 6 O i absorbers with Population
  III enrichment signatures are unlikely to arise in environments similar to the MS.
  However, the ionic ratios of O i absorption systems not associated with galaxy overdensities
  (green crosses) are consistent with this measurement. With the caveat that MS measurements
  do contain dust depletion effects, it is plausible that such O i systems may trace
  IGM structures with densities comparable to those of the MS at high z.\r\n\r\n5.
  Conclusion\r\nWe have conducted a survey of neutral O i absorption systems associated
  with galaxies during the Epoch of Reionization in the EIGER survey, using six high-redshift
  quasars as background sight lines. Our study focuses on the distribution of neutral
  oxygen around -emitting galaxies within 300 kpc and their connection to galaxy overdensities.
  The main results are as follows:\r\n\r\n1.  \r\nFive O i absorbers are detected
  among 15 galaxy overdensities, spanning z = 5.91–6.16 with a mean redshift 〈z〉 =
  6.001.\r\n2.  \r\nThe O i covering fraction within 300 kpc of the closest galaxy
  is , with for R ≤ 50 kpc and for 50 ≤ R ≤ 300 kpc, where the covering fraction is
  calculated using the galaxy in an overdensity with the lowest impact parameter.\r\n3.
  \ \r\nWe find  ≳ 2 × 106 M⊙ of oxygen within 300 kpc, a mass comparable to the ISM
  oxygen content of z ∼ 6 galaxies—assuming minimal ionization correction (see Section
  4.1 for justification)—suggesting that the circumgalactic environment already holds
  metal reservoirs rivaling those inside galaxies.\r\n4.  \r\nO i absorbers are detected
  as far as ∼8 R/Rvir from galaxies, in sharp contrast to low-ionization tracers such
  as Mg ii, which are typically confined within ≲R/Rvir.\r\n5.  \r\nThe incidence
  of galaxy-associated O i absorbers is \r\n \r\n. Comparison with blind quasar absorption-line
  surveys indicates that these systems represent only ∼35% of all O i absorbers at
  z ∼ 6, implying that the majority likely arise in lower-mass galaxies below current
  detection limits or in dense neutral IGM pockets that survived reionization.\r\n6.
  \ \r\nRelative abundance and ionization ratios ([Si/O], [C/O]) show that galaxy-associated
  O i systems are chemically enriched, with signatures in several systems consistent
  with contributions from Population III stars. In particular, we identify four galaxy
  overdensities whose outskirts exhibit absorption-line abundance ratios consistent
  with contributions from Population III nucleosynthesis.\r\n\r\nOverall, these results
  indicate that neutral O i at z ∼ 6 primarily traces extended overdensity environments
  rather than the CGM of individual halos. Moreover, the chemical abundance patterns
  of galaxy-associated O i systems suggest contributions from Population III stars,
  likely arising from multiple SNe events rather than a single explosion. The elevated
  [Si/O] and [C/O] ratios imply that [O iii]-emitting galaxies at this epoch may retain
  significant Population III enrichment. Consequently, metal-line absorbers around
  such overdensities offer a powerful probe of the first generations of stars, providing
  insight into early chemical enrichment and the role of primordial stellar populations
  in shaping galaxy evolution during the Epoch of Reionization.\r\n\r\nAcknowledgments\r\nThis
  work is based on observations made with the NASA/ESA/CSA James Webb Space Telescope.
  The data were obtained from the Mikulski Archive for Space Telescopes at the Space
  Telescope Science Institute, which is operated by the Association of Universities
  for Research in Astronomy, Inc., under NASA contract NAS 5-03127 for JWST. These
  observations are associated with program #1243. This paper includes data gathered
  with the 6.5 m Magellan Telescopes located at Las Campanas Observatory, Chile. This
  work was supported by a NASA Keck PI Data Award, administered by the NASA Exoplanet
  Science Institute. Data presented herein were obtained at the W. M. Keck Observatory
  from telescope time allocated to the National Aeronautics and Space Administration
  (NASA) through the agency’s scientific partnership with the California Institute
  of Technology and the University of California. The Observatory was made possible
  by the generous financial support of the W. M. Keck Foundation. The JWST data presented
  in this article were obtained from the Mikulski Archive for Space Telescopes (MAST)
  at the Space Telescope Science Institute. The specific observations analyzed can
  be accessed via DOI: 10.17909/y94q-h212. This work was partially supported by the
  National Science Foundation under grant No. AST-2108931. Jorryt Matthee and Ivan
  Kramarenko acknowledge funding from the European Union (ERC, AGENTS, 101076224).\r\n\r\nFacilities:
  JWST - James Webb Space Telescope (NIRCam), Magellan: Baade - (FIRE), VLT: Kueyen
  - (X-shooter), and Keck: I - (HIRES, MOSFIRE).\r\n\r\nSoftware: astropy (Astropy
  Collaboration et al. 2013, 2018, 2022), rbcodes (R. Bordoloi et al. 2025), rbvfit
  (R. Bordoloi & J. Higginson 2025)."
article_number: '49'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Jack
  full_name: Higginson, Jack
  last_name: Higginson
- first_name: Rongmon
  full_name: Bordoloi, Rongmon
  last_name: Bordoloi
- first_name: Robert A.
  full_name: Simcoe, Robert A.
  last_name: Simcoe
- first_name: Jorryt J
  full_name: Matthee, Jorryt J
  id: 7439a258-f3c0-11ec-9501-9df22fe06720
  last_name: Matthee
  orcid: 0000-0003-2871-127X
- first_name: Daichi
  full_name: Kashino, Daichi
  last_name: Kashino
- first_name: Ruari
  full_name: Mackenzie, Ruari
  last_name: Mackenzie
- first_name: Ivan
  full_name: Kramarenko, Ivan
  id: 9a9394cb-3200-11ee-973b-f5ba2a8b16e4
  last_name: Kramarenko
  orcid: 0000-0001-5346-6048
- first_name: Simon J.
  full_name: Lilly, Simon J.
  last_name: Lilly
- first_name: Anna-Christina
  full_name: Eilers, Anna-Christina
  last_name: Eilers
- first_name: Rohan P.
  full_name: Naidu, Rohan P.
  last_name: Naidu
- first_name: Minghao
  full_name: Yue, Minghao
  last_name: Yue
citation:
  ama: Higginson J, Bordoloi R, Simcoe RA, et al. EIGER. VIII. First stars signatures
    in the connection between O I absorption and galaxies in the epoch of reionization.
    <i>The Astrophysical Journal</i>. 2026;999(1). doi:<a href="https://doi.org/10.3847/1538-4357/ae3e81">10.3847/1538-4357/ae3e81</a>
  apa: Higginson, J., Bordoloi, R., Simcoe, R. A., Matthee, J. J., Kashino, D., Mackenzie,
    R., … Yue, M. (2026). EIGER. VIII. First stars signatures in the connection between
    O I absorption and galaxies in the epoch of reionization. <i>The Astrophysical
    Journal</i>. IOP Publishing. <a href="https://doi.org/10.3847/1538-4357/ae3e81">https://doi.org/10.3847/1538-4357/ae3e81</a>
  chicago: Higginson, Jack, Rongmon Bordoloi, Robert A. Simcoe, Jorryt J Matthee,
    Daichi Kashino, Ruari Mackenzie, Ivan Kramarenko, et al. “EIGER. VIII. First Stars
    Signatures in the Connection between O I Absorption and Galaxies in the Epoch
    of Reionization.” <i>The Astrophysical Journal</i>. IOP Publishing, 2026. <a href="https://doi.org/10.3847/1538-4357/ae3e81">https://doi.org/10.3847/1538-4357/ae3e81</a>.
  ieee: J. Higginson <i>et al.</i>, “EIGER. VIII. First stars signatures in the connection
    between O I absorption and galaxies in the epoch of reionization,” <i>The Astrophysical
    Journal</i>, vol. 999, no. 1. IOP Publishing, 2026.
  ista: Higginson J, Bordoloi R, Simcoe RA, Matthee JJ, Kashino D, Mackenzie R, Kramarenko
    I, Lilly SJ, Eilers A-C, Naidu RP, Yue M. 2026. EIGER. VIII. First stars signatures
    in the connection between O I absorption and galaxies in the epoch of reionization.
    The Astrophysical Journal. 999(1), 49.
  mla: Higginson, Jack, et al. “EIGER. VIII. First Stars Signatures in the Connection
    between O I Absorption and Galaxies in the Epoch of Reionization.” <i>The Astrophysical
    Journal</i>, vol. 999, no. 1, 49, IOP Publishing, 2026, doi:<a href="https://doi.org/10.3847/1538-4357/ae3e81">10.3847/1538-4357/ae3e81</a>.
  short: J. Higginson, R. Bordoloi, R.A. Simcoe, J.J. Matthee, D. Kashino, R. Mackenzie,
    I. Kramarenko, S.J. Lilly, A.-C. Eilers, R.P. Naidu, M. Yue, The Astrophysical
    Journal 999 (2026).
date_created: 2026-10-12T12:15:27Z
date_published: 2026-02-24T00:00:00Z
date_updated: 2026-10-14T07:58:57Z
day: '24'
ddc:
- '520'
department:
- _id: JoMa
- _id: GradSch
doi: 10.3847/1538-4357/ae3e81
external_id:
  arxiv:
  - '2510.05220'
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publication: The Astrophysical Journal
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publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
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title: EIGER. VIII. First stars signatures in the connection between O I absorption
  and galaxies in the epoch of reionization
tmp:
  image: /images/cc_by.png
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  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
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...
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abstract:
- lang: eng
  text: "How many points can be placed in an \U0001D45B × \U0001D45B grid sothat every
    (affine) line contains at most \U0001D458 points? Weprove that for \U0001D45B
    ⩾ \U0001D458 ⩾ 1037 the maximum number ofpoints is exactly \U0001D458\U0001D45B.
    Our proof builds on the recent workof Kovács, Nagy and Szabó (who proved an analogousresult
    when \U0001D458 is at least about √\U0001D45B log \U0001D45B), incorporat-ing
    ideas of Jain and Pham. Using the same approach,we also obtain new bounds for
    higher-dimensionalextensions of this problem"
acknowledgement: We would like to thank Huy Pham for insightful discussions about
  the proof approach, and wewould like to thank the anonymous referees for their careful
  reading and helpful comments. Bothauthors are supported by ERC Starting Grant “RANDSTRUCT”
  No. 101076777.Open Access funding provided by Institute of Science and Technology
  Austria.
article_number: e70510
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Aleksandr
  full_name: Grebennikov, Aleksandr
  id: 776468ec-50b0-11ef-861e-96ad19e894f3
  last_name: Grebennikov
- first_name: Matthew Alan
  full_name: Kwan, Matthew Alan
  id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
  last_name: Kwan
  orcid: 0000-0002-4003-7567
citation:
  ama: Grebennikov A, Kwan MA. No‐(k+1)‐in‐line problem for large constant k. <i>Bulletin
    of the London Mathematical Society</i>. 2026;58(10). doi:<a href="https://doi.org/10.1112/blms.70510">10.1112/blms.70510</a>
  apa: Grebennikov, A., &#38; Kwan, M. A. (2026). No‐(k+1)‐in‐line problem for large
    constant k. <i>Bulletin of the London Mathematical Society</i>. Wiley. <a href="https://doi.org/10.1112/blms.70510">https://doi.org/10.1112/blms.70510</a>
  chicago: Grebennikov, Aleksandr, and Matthew Alan Kwan. “No‐(K+1)‐in‐line Problem
    for Large Constant K.” <i>Bulletin of the London Mathematical Society</i>. Wiley,
    2026. <a href="https://doi.org/10.1112/blms.70510">https://doi.org/10.1112/blms.70510</a>.
  ieee: A. Grebennikov and M. A. Kwan, “No‐(k+1)‐in‐line problem for large constant
    k,” <i>Bulletin of the London Mathematical Society</i>, vol. 58, no. 10. Wiley,
    2026.
  ista: Grebennikov A, Kwan MA. 2026. No‐(k+1)‐in‐line problem for large constant
    k. Bulletin of the London Mathematical Society. 58(10), e70510.
  mla: Grebennikov, Aleksandr, and Matthew Alan Kwan. “No‐(K+1)‐in‐line Problem for
    Large Constant K.” <i>Bulletin of the London Mathematical Society</i>, vol. 58,
    no. 10, e70510, Wiley, 2026, doi:<a href="https://doi.org/10.1112/blms.70510">10.1112/blms.70510</a>.
  short: A. Grebennikov, M.A. Kwan, Bulletin of the London Mathematical Society 58
    (2026).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-10-12T13:57:47Z
date_published: 2026-10-01T00:00:00Z
date_updated: 2026-10-14T08:41:00Z
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ddc:
- '510'
department:
- _id: MaKw
- _id: GradSch
doi: 10.1112/blms.70510
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publication_status: published
publisher: Wiley
quality_controlled: '1'
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status: public
supplementarymaterial: no
title: No‐(k+1)‐in‐line problem for large constant k
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
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...
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_id: '22984'
acknowledged_ssus:
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- _id: LifeSc
- _id: MassSpec
alternative_title:
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author:
- first_name: Anastasiia
  full_name: Teplova, Anastasiia
  id: e3736151-106c-11ec-b916-c2558e2762c6
  last_name: Teplova
citation:
  ama: 'Teplova A. Chasing the elusive: Investigating nucleotide cyclase activity
    in gibberellin and strigolactone signalling; Cellular mechanisms of gravity sensing
    and response in roots. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-22984">10.15479/AT-ISTA-22984</a>'
  apa: 'Teplova, A. (2026). <i>Chasing the elusive: Investigating nucleotide cyclase
    activity in gibberellin and strigolactone signalling; Cellular mechanisms of gravity
    sensing and response in roots</i>. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT-ISTA-22984">https://doi.org/10.15479/AT-ISTA-22984</a>'
  chicago: 'Teplova, Anastasiia. “Chasing the Elusive: Investigating Nucleotide Cyclase
    Activity in Gibberellin and Strigolactone Signalling; Cellular Mechanisms of Gravity
    Sensing and Response in Roots.” Institute of Science and Technology Austria, 2026.
    <a href="https://doi.org/10.15479/AT-ISTA-22984">https://doi.org/10.15479/AT-ISTA-22984</a>.'
  ieee: 'A. Teplova, “Chasing the elusive: Investigating nucleotide cyclase activity
    in gibberellin and strigolactone signalling; Cellular mechanisms of gravity sensing
    and response in roots,” Institute of Science and Technology Austria, 2026.'
  ista: 'Teplova A. 2026. Chasing the elusive: Investigating nucleotide cyclase activity
    in gibberellin and strigolactone signalling; Cellular mechanisms of gravity sensing
    and response in roots. Institute of Science and Technology Austria.'
  mla: 'Teplova, Anastasiia. <i>Chasing the Elusive: Investigating Nucleotide Cyclase
    Activity in Gibberellin and Strigolactone Signalling; Cellular Mechanisms of Gravity
    Sensing and Response in Roots</i>. Institute of Science and Technology Austria,
    2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-22984">10.15479/AT-ISTA-22984</a>.'
  short: 'A. Teplova, Chasing the Elusive: Investigating Nucleotide Cyclase Activity
    in Gibberellin and Strigolactone Signalling; Cellular Mechanisms of Gravity Sensing
    and Response in Roots, Institute of Science and Technology Austria, 2026.'
corr_author: '1'
date_created: 2026-09-23T15:29:42Z
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ddc:
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status: public
supervisor:
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
title: 'Chasing the elusive: Investigating nucleotide cyclase activity in gibberellin
  and strigolactone signalling; Cellular mechanisms of gravity sensing and response
  in roots'
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2026'
...
---
OA_place: publisher
_id: '23079'
abstract:
- lang: eng
  text: "We study the computational aspects of the two central solution concepts of
    stochastic games\r\nplayed on finite graphs for an infinite number of steps: the
    value in two-player zero-sum\r\ngames, and Nash equilibria in multi-player games.
    In both settings, exact solutions are in\r\ntractable. Fortwo-playerzero-sumconcurrentstochasticgames,valuescanbeirrational,and\r\nthe
    associated decision problem is SQRT-SUM hard. For multi-player turn-based stochastic\r\ngames,theequilibriumprobabilitiescanbeirrational,anddecidingtheconstrainedexistence\r\nof
    a Nash equilibrium is undecidable in the presence of memory, and ∃R-complete when
    the\r\nplayers are restricted to stationary strategies. Hence, in both settings,
    the natural computational problem is the approximation of the solution within
    an arbitrary additive error. In\r\nthis thesis, we present improved complexity
    results and algorithms for such approximation\r\nproblems.\r\nThe first part of
    the thesis considers two-player zero-sum concurrent stochastic games\r\nwith two
    classic objectives: (a) stateful-discounted objectives, which are similar to the
    classic\r\ndiscounted-sum objectives, but states are associated with different
    discount factors rather\r\nthan a single discount factor; and (b) parity objectives,
    which are a canonical representation\r\nfor ω-regular objectives. For stateful-discounted
    objectives, given an ordering of the discount\r\nfactors, the limit value is the
    limit of the value of the stateful-discounted objectives, as\r\nthe discount factors
    approach zero according to the given order. The value-approximation\r\nproblem
    is known to be in EXPSPACE for the limit value of stateful-discounted objectives
    and\r\nin PSPACEforparityobjectives,andthebest-knownalgorithmsforbothproblemsareatleast\r\nexponential
    time, with an exponential dependence on the number of states and actions. Our\r\nmain
    results for the value-approximation problem for the limit value of stateful-discounted\r\nobjectives
    and parity objectives areas follows: (a)we establish TFNPNP complexity; and (b)we\r\npresent
    algorithms that improve the dependency on the number of actions in the exponent\r\nfrom
    linear to logarithmic. In particular, if the number of states is constant, our
    algorithms\r\nrun in polynomial time.\r\nThe second part of the thesis considers
    multi-player turn-based stochastic games with\r\nterminal payoffs, where the players
    are restricted to stationary strategies. We study the\r\napproximate constrained
    existence problem of Nash equilibria: given a game that has a Nash\r\nequilibrium
    in which the payoff of every player lies in a given interval, compute a strategy\r\nprofile
    that is an ε-Nash equilibrium and that satisfies the same constraints up to an
    additive\r\nerror ε. Our main results are as follows: (a) we present an FNPNP
    algorithm for the problem;\r\nand(b)we establish that its decision version is
    NP-hard, already with two players. For the\r\nupperbound,weshowthatifaconstrainedNashequilibriumexists,thenthereexists
    one\r\nin which the non-zero probabilities are at least an inverse of a double-exponential
    in the\r\ni\r\ninput size, and that such a strategy profile can be represented,
    up to an additive error ε, with\r\nfloating-point numbers of polynomial size.
    We complement the upper bound with a lower\r\nbound on this approach: we present
    a game with only five players in which every constrained\r\nNash equilibrium requires
    double-exponentially small probabilities.\r\nThe two parts share a common technical
    toolkit: bounds on solutions of systems of\r\npolynomial inequalities that arise
    from real algebraic geometry, the floating-point representation of doubly-exponentially
    small numbers, and guess-and-verify procedures that resolve\r\nsingle-player games
    with an NP oracle."
acknowledgement: "The research reported in Part I was partially supported by the European
  Research\r\nCouncil (ERC) Consolidator Grant 863818 (ForM-SMArt), by the Austrian
  Science Fund\r\n(FWF) 10.55776/COE12, and by the French Agence Nationale de la Recherche
  (ANR) grant\r\nANR-21-CE40-0020 (CONVERGENCE project). The research reported in
  Part II is a part of\r\nproject VAMOS, which has received funding from the European
  Research Council (ERC) under\r\ngrant agreement No.101020093."
alternative_title:
- ISTA Master’s Thesis
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author:
- first_name: Ali
  full_name: Asadi, Ali
  id: 02d96aae-000e-11ec-b801-cadd0a5eefbb
  last_name: Asadi
citation:
  ama: 'Asadi A. Approximation of values and equilibria in stochastic games: Complexity
    and algorithms. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-23079">10.15479/AT-ISTA-23079</a>'
  apa: 'Asadi, A. (2026). <i>Approximation of values and equilibria in stochastic
    games: Complexity and algorithms</i>. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT-ISTA-23079">https://doi.org/10.15479/AT-ISTA-23079</a>'
  chicago: 'Asadi, Ali. “Approximation of Values and Equilibria in Stochastic Games:
    Complexity and Algorithms.” Institute of Science and Technology Austria, 2026.
    <a href="https://doi.org/10.15479/AT-ISTA-23079">https://doi.org/10.15479/AT-ISTA-23079</a>.'
  ieee: 'A. Asadi, “Approximation of values and equilibria in stochastic games: Complexity
    and algorithms,” Institute of Science and Technology Austria, 2026.'
  ista: 'Asadi A. 2026. Approximation of values and equilibria in stochastic games:
    Complexity and algorithms. Institute of Science and Technology Austria.'
  mla: 'Asadi, Ali. <i>Approximation of Values and Equilibria in Stochastic Games:
    Complexity and Algorithms</i>. Institute of Science and Technology Austria, 2026,
    doi:<a href="https://doi.org/10.15479/AT-ISTA-23079">10.15479/AT-ISTA-23079</a>.'
  short: 'A. Asadi, Approximation of Values and Equilibria in Stochastic Games: Complexity
    and Algorithms, Institute of Science and Technology Austria, 2026.'
corr_author: '1'
date_created: 2026-10-08T09:07:53Z
date_published: 2026-10-09T00:00:00Z
date_updated: 2026-10-16T08:00:45Z
day: '09'
ddc:
- '000'
degree_awarded: MS
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- _id: GradSch
- _id: KrCh
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doi_confirm: '1'
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month: '10'
oa: 1
oa_version: Published Version
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project:
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  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 4029cfc7-b034-11f1-9e55-88ab2ff3b6ee
  grant_number: COE12
  name: Bilateral Artificial Intelligence (Chatterjee)
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  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
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  issn:
  - 2791-4585
publication_status: published
publisher: Institute of Science and Technology Austria
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- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
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acknowledgement: 'This thesis and the publications within, were financially supported
  by the Institute of Science and Technology Austria and the Werner Siemens Foundation
  under the project “High Thermoelectric Materials: The Werner Siemens Laboratory
  for the High Throughput Discovery of Semiconductors for Waste Heat Recovery”.'
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- ISTA Thesis
article_processing_charge: No
author:
- first_name: Christine
  full_name: Fiedler, Christine
  id: bd3fceba-dc74-11ea-a0a7-c17f71817366
  last_name: Fiedler
citation:
  ama: Fiedler C. Mechanistic insight into solution-processed p-type tin chalcogenides
    as a basis for designing their n-type analogs. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-22626">10.15479/AT-ISTA-22626</a>
  apa: Fiedler, C. (2026). <i>Mechanistic insight into solution-processed p-type tin
    chalcogenides as a basis for designing their n-type analogs</i>. Institute of
    Science and Technology Austria. <a href="https://doi.org/10.15479/AT-ISTA-22626">https://doi.org/10.15479/AT-ISTA-22626</a>
  chicago: Fiedler, Christine. “Mechanistic Insight into Solution-Processed p-Type
    Tin Chalcogenides as a Basis for Designing Their n-Type Analogs.” Institute of
    Science and Technology Austria, 2026. <a href="https://doi.org/10.15479/AT-ISTA-22626">https://doi.org/10.15479/AT-ISTA-22626</a>.
  ieee: C. Fiedler, “Mechanistic insight into solution-processed p-type tin chalcogenides
    as a basis for designing their n-type analogs,” Institute of Science and Technology
    Austria, 2026.
  ista: Fiedler C. 2026. Mechanistic insight into solution-processed p-type tin chalcogenides
    as a basis for designing their n-type analogs. Institute of Science and Technology
    Austria.
  mla: Fiedler, Christine. <i>Mechanistic Insight into Solution-Processed p-Type Tin
    Chalcogenides as a Basis for Designing Their n-Type Analogs</i>. Institute of
    Science and Technology Austria, 2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-22626">10.15479/AT-ISTA-22626</a>.
  short: C. Fiedler, Mechanistic Insight into Solution-Processed p-Type Tin Chalcogenides
    as a Basis for Designing Their n-Type Analogs, Institute of Science and Technology
    Austria, 2026.
corr_author: '1'
date_created: 2026-08-03T07:55:16Z
date_published: 2026-08-05T00:00:00Z
date_updated: 2026-10-16T09:30:26Z
day: '05'
ddc:
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  name: 'HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of
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  full_name: Ibáñez, Maria
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  orcid: 0000-0001-5013-2843
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author:
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  id: 8BD9DE16-AB3C-11E9-9C8C-2A03E6697425
  last_name: Kleinhanns
  orcid: 0000-0003-1537-7436
citation:
  ama: Kleinhanns T. Unraveling the origin and evolution of defects to enable advanced
    thermoelectric performance. 2026. doi:<a href="https://doi.org/10.15479/AT-ISTA-22017">10.15479/AT-ISTA-22017</a>
  apa: Kleinhanns, T. (2026). <i>Unraveling the origin and evolution of defects to
    enable advanced thermoelectric performance</i>. Institute of Science and Technology
    Austria. <a href="https://doi.org/10.15479/AT-ISTA-22017">https://doi.org/10.15479/AT-ISTA-22017</a>
  chicago: Kleinhanns, Tobias. “Unraveling the Origin and Evolution of Defects to
    Enable Advanced Thermoelectric Performance.” Institute of Science and Technology
    Austria, 2026. <a href="https://doi.org/10.15479/AT-ISTA-22017">https://doi.org/10.15479/AT-ISTA-22017</a>.
  ieee: T. Kleinhanns, “Unraveling the origin and evolution of defects to enable advanced
    thermoelectric performance,” Institute of Science and Technology Austria, 2026.
  ista: Kleinhanns T. 2026. Unraveling the origin and evolution of defects to enable
    advanced thermoelectric performance. Institute of Science and Technology Austria.
  mla: Kleinhanns, Tobias. <i>Unraveling the Origin and Evolution of Defects to Enable
    Advanced Thermoelectric Performance</i>. Institute of Science and Technology Austria,
    2026, doi:<a href="https://doi.org/10.15479/AT-ISTA-22017">10.15479/AT-ISTA-22017</a>.
  short: T. Kleinhanns, Unraveling the Origin and Evolution of Defects to Enable Advanced
    Thermoelectric Performance, Institute of Science and Technology Austria, 2026.
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  orcid: 0000-0001-5013-2843
title: Unraveling the origin and evolution of defects to enable advanced thermoelectric
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type: dissertation
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...
