---
OA_place: repository
OA_type: green
_id: '22167'
abstract:
- lang: eng
text: "Given a vertex-ordered graph G, the ordered Ramsey number\r\nr<(G) is the
minimum integer N such that every 2-coloring of the edges of\r\nthe complete ordered
graph KN contains a monochromatic ordered copy of G.\r\nMotivated by a similar
question posed by Erd˝os and Graham [On partition\r\ntheorems for finite graphs,
Infinite and finite sets (Colloq., Keszthely, 1973),\r\nNorth-Holland, Amsterdam-London,
pp. 515–527] in the unordered setting,\r\nwe study the problem of bounding the
ordered Ramsey number of any ordered graph G with m edges and no isolated vertices.
We prove that r<(G) ≤\r\ne109√m(log log m)3/2\r\nfor any such G, which is tight
up to the (log log m)3/2\r\nfactor in the exponent. As a corollary, we obtain
the corresponding bound for\r\nthe oriented Ramsey number of a directed graph
with m edges."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Domagoj
full_name: Bradač, Domagoj
last_name: Bradač
- first_name: Patryk
full_name: Morawski, Patryk
last_name: Morawski
- first_name: Benny
full_name: Sudakov, Benny
last_name: Sudakov
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: "Bradač D, Morawski P, Sudakov B, Wigderson Y. Ordered Ramsey numbers of graphs
with \U0001D45A edges. Proceedings of the American Mathematical Society.
2026;154(3):927-942. doi:10.1090/proc/17442"
apa: "Bradač, D., Morawski, P., Sudakov, B., & Wigderson, Y. (2026). Ordered
Ramsey numbers of graphs with \U0001D45A edges. Proceedings of the American
Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/17442"
chicago: "Bradač, Domagoj, Patryk Morawski, Benny Sudakov, and Yuval Wigderson.
“Ordered Ramsey Numbers of Graphs with \U0001D45A Edges.” Proceedings of the
American Mathematical Society. American Mathematical Society, 2026. https://doi.org/10.1090/proc/17442."
ieee: "D. Bradač, P. Morawski, B. Sudakov, and Y. Wigderson, “Ordered Ramsey numbers
of graphs with \U0001D45A edges,” Proceedings of the American Mathematical
Society, vol. 154, no. 3. American Mathematical Society, pp. 927–942, 2026."
ista: "Bradač D, Morawski P, Sudakov B, Wigderson Y. 2026. Ordered Ramsey numbers
of graphs with \U0001D45A edges. Proceedings of the American Mathematical Society.
154(3), 927–942."
mla: "Bradač, Domagoj, et al. “Ordered Ramsey Numbers of Graphs with \U0001D45A
Edges.” Proceedings of the American Mathematical Society, vol. 154, no.
3, American Mathematical Society, 2026, pp. 927–42, doi:10.1090/proc/17442."
short: D. Bradač, P. Morawski, B. Sudakov, Y. Wigderson, Proceedings of the American
Mathematical Society 154 (2026) 927–942.
date_created: 2026-06-29T10:54:32Z
date_published: 2026-01-16T00:00:00Z
date_updated: 2026-07-14T08:34:43Z
day: '16'
doi: 10.1090/proc/17442
extern: '1'
external_id:
arxiv:
- '2412.17599'
fulldoi: https://doi.org/10.1090/proc/17442
intvolume: ' 154'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2412.17599
month: '01'
oa: 1
oa_version: Preprint
page: 927-942
publication: Proceedings of the American Mathematical Society
publication_identifier:
eissn:
- 1088-6826
issn:
- 0002-9939
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: "Ordered Ramsey numbers of graphs with \U0001D45A edges"
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 154
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22183'
abstract:
- lang: eng
text: "A partition of a (hyper)graph is ε-homogeneous if the edge densities between
almost all clusters are\r\neither at most ε or at least 1 − ε. Suppose a 3-graph
has the property that the link of every vertex has\r\nan ε-homogeneous partition
of size poly(1/ε). Does this guarantee that the 3-graph also has a small\r\nhomogeneous
partition? Terry and Wolf proved that such a 3-graph has an ε-homogeneous partition\r\nof
size given by a wowzer-type function. Terry recently improved this to a double
exponential bound,\r\nand conjectured that this bound is tight. Our first result
in this paper disproves this conjecture by\r\ngiving an improved (single) exponential
bound, which is best possible. We further obtain an analogous\r\nresult for k-graphs
of all uniformities k 3. The above problem is part of a much broader programme,\r\nwhich
seeks to understand the conditions under which a (hyper)graph has small ε-regular
partitions.\r\nWhile this problem is fairly well understood for graphs, the situation
is (as always) much more\r\ninvolved already for 3-graphs. For example, it is
natural to ask if one can strengthen our first result\r\nby only requiring each
link to have ε-regular partitions of size poly(1/ε). Our second result shows that\r\nsurprisingly
the answer is “no”, namely, a 3-graph might only have regular partitions of tower-type
size,\r\neven though the link of every vertex has an ε-regular partition of polynomial
size."
article_number: rnag018
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lior
full_name: Gishboliner, Lior
last_name: Gishboliner
- first_name: Asaf
full_name: Shapira, Asaf
last_name: Shapira
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: Gishboliner L, Shapira A, Wigderson Y. Is it easy to regularize a hypergraph
with easy links? International Mathematics Research Notices. 2026;2026(4).
doi:10.1093/imrn/rnag018
apa: Gishboliner, L., Shapira, A., & Wigderson, Y. (2026). Is it easy to regularize
a hypergraph with easy links? International Mathematics Research Notices.
Oxford University Press. https://doi.org/10.1093/imrn/rnag018
chicago: Gishboliner, Lior, Asaf Shapira, and Yuval Wigderson. “Is It Easy to Regularize
a Hypergraph with Easy Links?” International Mathematics Research Notices.
Oxford University Press, 2026. https://doi.org/10.1093/imrn/rnag018.
ieee: L. Gishboliner, A. Shapira, and Y. Wigderson, “Is it easy to regularize a
hypergraph with easy links?,” International Mathematics Research Notices,
vol. 2026, no. 4. Oxford University Press, 2026.
ista: Gishboliner L, Shapira A, Wigderson Y. 2026. Is it easy to regularize a hypergraph
with easy links? International Mathematics Research Notices. 2026(4), rnag018.
mla: Gishboliner, Lior, et al. “Is It Easy to Regularize a Hypergraph with Easy
Links?” International Mathematics Research Notices, vol. 2026, no. 4, rnag018,
Oxford University Press, 2026, doi:10.1093/imrn/rnag018.
short: L. Gishboliner, A. Shapira, Y. Wigderson, International Mathematics Research
Notices 2026 (2026).
date_created: 2026-06-29T12:02:25Z
date_published: 2026-02-01T00:00:00Z
date_updated: 2026-07-14T09:25:22Z
day: '01'
doi: 10.1093/imrn/rnag018
extern: '1'
external_id:
arxiv:
- '2506.15582'
fulldoi: https://doi.org/10.1093/imrn/rnag018
intvolume: ' 2026'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2506.15582
month: '02'
oa: 1
oa_version: Preprint
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Is it easy to regularize a hypergraph with easy links?
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2026
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22184'
abstract:
- lang: eng
text: "Ramsey's theorem states that if N\r\n is sufficiently large, then no matter
how one colors the edges among N\r\n vertices with two colors, there are always
k\r\n vertices spanning edges in only one color. Given this theorem, it is natural
to ask \"how large is sufficiently large?\" Ramsey's original proof showed that
N=k!\r\n is sufficient, and five years later Erdős and Szekeres improved this
bound to N=4^k\r\n. And then progress stalled for almost 90 years.\r\n\r\nIn this
survey, I present the history of the problem, and discuss some of the ideas used
in the recent breakthrough of Campos–Griffiths–Morris–Sahasrabudhe, who proved
that N=3.993^k\r\n is sufficient. In addition, I discuss the subsequent work of
Balister, Bollobás, Campos, Griffiths, Hurley, Morris, Sahasrabudhe, and Tiba,
who gave an alternative, and more conceptual, proof."
- lang: fre
text: "Le théorème de Ramsey stipule que si N\r\n est suffisamment grand, alors
quelle que soit la manière dont l'on colore les arêtes entre N\r\n sommets avec
deux couleurs, il y a toujours k\r\n sommets dont les arêtes ne sont colorées
que d'une seule couleur. Compte tenu de ce théorème, il est naturel de se demander
\"À quel point N\r\n doit être grand ?\" La preuve originale de Ramsey a montré
que N=k!\r\n suffit, et cinq ans plus tard, Erdős et Szekeres ont amélioré cette
borne à N=4k\r\n. Puis le progrès s'est arrêté pendant près de 90 ans.\r\n\r\nDans
cet exposé, je présente l'histoire du problème et je discute certaines idées utilisées
dans la percée récente de Campos--Griffiths-Morris--Sahasrabudhe, qui ont prouvé
que N=3,993k\r\n suffit. De plus, je discute le travail suivant de Balister, Bollobás,
Campos, Griffiths, Hurley, Morris, Sahasrabudhe, et Tiba, qui ont donné une preuve
alternative et plus conceptuelle."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yuval
full_name: Wigderson, Yuval
id: 2d0023a0-1567-11f0-833d-d5c1e476d4b5
last_name: Wigderson
citation:
ama: 'Wigderson Y. Exposé Bourbaki 1230 : Upper bounds on diagonal Ramsey numbers
(after Campos, Griffiths, Morris, and Sahasrabudhe). Astérisque. 2026:85-138.
doi:10.24033/ast.1255'
apa: 'Wigderson, Y. (2026). Exposé Bourbaki 1230 : Upper bounds on diagonal Ramsey
numbers (after Campos, Griffiths, Morris, and Sahasrabudhe). Astérisque.
Societe Mathematique de France. https://doi.org/10.24033/ast.1255'
chicago: 'Wigderson, Yuval. “Exposé Bourbaki 1230 : Upper Bounds on Diagonal Ramsey
Numbers (after Campos, Griffiths, Morris, and Sahasrabudhe).” Astérisque.
Societe Mathematique de France, 2026. https://doi.org/10.24033/ast.1255.'
ieee: 'Y. Wigderson, “Exposé Bourbaki 1230 : Upper bounds on diagonal Ramsey numbers
(after Campos, Griffiths, Morris, and Sahasrabudhe),” Astérisque. Societe
Mathematique de France, pp. 85–138, 2026.'
ista: 'Wigderson Y. 2026. Exposé Bourbaki 1230 : Upper bounds on diagonal Ramsey
numbers (after Campos, Griffiths, Morris, and Sahasrabudhe). Astérisque., 85–138.'
mla: 'Wigderson, Yuval. “Exposé Bourbaki 1230 : Upper Bounds on Diagonal Ramsey
Numbers (after Campos, Griffiths, Morris, and Sahasrabudhe).” Astérisque,
Societe Mathematique de France, 2026, pp. 85–138, doi:10.24033/ast.1255.'
short: Y. Wigderson, Astérisque (2026) 85–138.
date_created: 2026-06-29T12:02:59Z
date_published: 2026-01-01T00:00:00Z
date_updated: 2026-07-14T09:53:07Z
day: '01'
doi: 10.24033/ast.1255
extern: '1'
external_id:
arxiv:
- '2411.09321'
fulldoi: https://doi.org/10.24033/ast.1255
language:
- iso: eng
main_file_link:
- open_access: '1'
url: 'https://doi.org/10.48550/arXiv.2411.09321 '
mathsc:
- 05D10
- 05C55
month: '01'
oa: 1
oa_version: Preprint
page: 85-138
publication: Astérisque
publication_identifier:
issn:
- 0303-1179
- 2492-5926
publication_status: published
publisher: Societe Mathematique de France
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Exposé Bourbaki 1230 : Upper bounds on diagonal Ramsey numbers (after Campos,
Griffiths, Morris, and Sahasrabudhe)'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22218'
abstract:
- lang: eng
text: 'Physiological void spaces exist at every scale of the human body, from organs
to molecules, facilitating transport, signal propagation, and localized biochemical
activity. Constriction of these spaces (e.g., arterial occlusion, fibrosis) highlights
their importance, making their mimicry essential in tissue engineering (TE). This
review examines four key strategies for introducing porosity into hydrogels across
multiple length scales: templating, microgels, phase separation, and 3D printing.
The first three methods enable the engineering of physiological environments at
the nano‐ to micro‐scale, mimicking tissue‐ and extracellular matrix (ECM)‐level
spaces. Templating involves embedding and removal of gas, liquid, or solid phases,
leaving behind pores. Microgel annealing generates inherent interstitial voids.
Liquid–liquid phase separation (LLPS) creates biphasic networks reminiscent of
native ECM. The fourth approach, extrusion‐ and light‐based 3D printing techniques,
enables the fabrication of larger‐scale spaces, such as luminal structures (e.g.,
vasculature, airways, and ducts). Combining these methods enables the creation
of hierarchical architectures from the nano‐ to centimeter scale. The review also
highlights Filamented Light (FLight) technology, which creates internal microstructural
voids relevant to anisotropic tissues. This review offers insights into current
methods and their convergence for generating biomimetic void spaces to meet the
physiological demands of cells, tissues, and organs.'
article_number: e07385
article_processing_charge: No
article_type: original
author:
- first_name: Anna
full_name: Puiggalí‐Jou, Anna
last_name: Puiggalí‐Jou
- first_name: Isabel B.
full_name: Hui, Isabel B.
last_name: Hui
- first_name: Carla
full_name: Fernández-Rico, Carla
id: 492def71-6250-11f0-b278-d41dbd241b62
last_name: Fernández-Rico
- first_name: Marcy
full_name: Zenobi‐Wong, Marcy
last_name: Zenobi‐Wong
citation:
ama: 'Puiggalí‐Jou A, Hui IB, Fernández-Rico C, Zenobi‐Wong M. The space within:
How architected voids promote tissue formation. Advanced Materials. 2026;38(7).
doi:10.1002/adma.202507385'
apa: 'Puiggalí‐Jou, A., Hui, I. B., Fernández-Rico, C., & Zenobi‐Wong, M. (2026).
The space within: How architected voids promote tissue formation. Advanced
Materials. Wiley. https://doi.org/10.1002/adma.202507385'
chicago: 'Puiggalí‐Jou, Anna, Isabel B. Hui, Carla Fernández-Rico, and Marcy Zenobi‐Wong.
“The Space within: How Architected Voids Promote Tissue Formation.” Advanced
Materials. Wiley, 2026. https://doi.org/10.1002/adma.202507385.'
ieee: 'A. Puiggalí‐Jou, I. B. Hui, C. Fernández-Rico, and M. Zenobi‐Wong, “The space
within: How architected voids promote tissue formation,” Advanced Materials,
vol. 38, no. 7. Wiley, 2026.'
ista: 'Puiggalí‐Jou A, Hui IB, Fernández-Rico C, Zenobi‐Wong M. 2026. The space
within: How architected voids promote tissue formation. Advanced Materials. 38(7),
e07385.'
mla: 'Puiggalí‐Jou, Anna, et al. “The Space within: How Architected Voids Promote
Tissue Formation.” Advanced Materials, vol. 38, no. 7, e07385, Wiley, 2026,
doi:10.1002/adma.202507385.'
short: A. Puiggalí‐Jou, I.B. Hui, C. Fernández-Rico, M. Zenobi‐Wong, Advanced Materials
38 (2026).
date_created: 2026-06-30T06:36:20Z
date_published: 2026-02-02T00:00:00Z
date_updated: 2026-07-15T08:08:38Z
day: '02'
ddc:
- '540'
doi: 10.1002/adma.202507385
extern: '1'
external_id:
pmid:
- '41312612'
fulldoi: https://doi.org/10.1002/adma.202507385
has_accepted_license: '1'
intvolume: ' 38'
issue: '7'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.1002/adma.202507385
month: '02'
oa: 1
oa_version: Published Version
pmid: 1
publication: Advanced Materials
publication_identifier:
eissn:
- 1521-4095
issn:
- 0935-9648
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The space within: How architected voids promote tissue formation'
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'
...
---
OA_place: publisher
OA_type: hybrid
_id: '22215'
abstract:
- lang: eng
text: Elastic MicroPhase separation (EMPS) provides a simple route to create soft
materials with homogeneous microstructures by leveraging the supersaturation of
crosslinked polymer networks with liquids. At low supersaturation, network elasticity
stabilizes a uniform mixture, but beyond a critical threshold, metastable microphase-separated
domains emerge. While previous theories have focused on describing qualitative
features about the size and morphology of these domains, they do not make quantitative
predictions about EMPS phase diagrams. In this work, we extend Flory–Huggins theory
to quantitatively capture EMPS phase diagrams by incorporating strain-stiffening
effects. This model requires no fitting parameters and relies solely on independently
measured solubility parameters and large-deformation mechanical responses. Our
results confirm that strain-stiffening enables metastable microphase separation
within the swelling equilibrium state and reveal why the microstructures can range
from discrete droplets to bicontinuous networks. This works highlights the critical
role of nonlinear elasticity in controlling phase-separated morphologies in polymer
gels.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Carla
full_name: Fernández-Rico, Carla
id: 492def71-6250-11f0-b278-d41dbd241b62
last_name: Fernández-Rico
- first_name: Robert W.
full_name: Style, Robert W.
last_name: Style
- first_name: Stefanie
full_name: Heyden, Stefanie
last_name: Heyden
- first_name: Shichen
full_name: Wang, Shichen
last_name: Wang
- first_name: Peter D.
full_name: Olmsted, Peter D.
last_name: Olmsted
- first_name: Eric R.
full_name: Dufresne, Eric R.
last_name: Dufresne
citation:
ama: Fernández-Rico C, Style RW, Heyden S, Wang S, Olmsted PD, Dufresne ER. Thermodynamics
of microphase separation in a swollen, strain-stiffening polymer network. Soft
Matter. 2026;22(2):330-342. doi:10.1039/d5sm00594a
apa: Fernández-Rico, C., Style, R. W., Heyden, S., Wang, S., Olmsted, P. D., &
Dufresne, E. R. (2026). Thermodynamics of microphase separation in a swollen,
strain-stiffening polymer network. Soft Matter. Royal Society of Chemistry.
https://doi.org/10.1039/d5sm00594a
chicago: Fernández-Rico, Carla, Robert W. Style, Stefanie Heyden, Shichen Wang,
Peter D. Olmsted, and Eric R. Dufresne. “Thermodynamics of Microphase Separation
in a Swollen, Strain-Stiffening Polymer Network.” Soft Matter. Royal Society
of Chemistry, 2026. https://doi.org/10.1039/d5sm00594a.
ieee: C. Fernández-Rico, R. W. Style, S. Heyden, S. Wang, P. D. Olmsted, and E.
R. Dufresne, “Thermodynamics of microphase separation in a swollen, strain-stiffening
polymer network,” Soft Matter, vol. 22, no. 2. Royal Society of Chemistry,
pp. 330–342, 2026.
ista: Fernández-Rico C, Style RW, Heyden S, Wang S, Olmsted PD, Dufresne ER. 2026.
Thermodynamics of microphase separation in a swollen, strain-stiffening polymer
network. Soft Matter. 22(2), 330–342.
mla: Fernández-Rico, Carla, et al. “Thermodynamics of Microphase Separation in a
Swollen, Strain-Stiffening Polymer Network.” Soft Matter, vol. 22, no.
2, Royal Society of Chemistry, 2026, pp. 330–42, doi:10.1039/d5sm00594a.
short: C. Fernández-Rico, R.W. Style, S. Heyden, S. Wang, P.D. Olmsted, E.R. Dufresne,
Soft Matter 22 (2026) 330–342.
date_created: 2026-06-30T06:33:11Z
date_published: 2026-01-14T00:00:00Z
date_updated: 2026-07-15T07:42:04Z
day: '14'
ddc:
- '540'
doi: 10.1039/d5sm00594a
extern: '1'
external_id:
arxiv:
- '2506.08958'
pmid:
- '41400267'
fulldoi: https://doi.org/10.1039/d5sm00594a
has_accepted_license: '1'
intvolume: ' 22'
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
url: https://doi.org/10.1039/d5sm00594a
month: '01'
oa: 1
oa_version: Published Version
page: 330-342
pmid: 1
publication: Soft Matter
publication_identifier:
eissn:
- 1744-6848
issn:
- 1744-683X
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Thermodynamics of microphase separation in a swollen, strain-stiffening polymer
network
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 22
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21002'
abstract:
- lang: eng
text: The Davenport–Heilbronn method is a version of the circle method that was
developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn,
J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the
paper, together with an account of the development of the subject in the intervening
80 years.
acknowledgement: "The author is very grateful to Jörg Brüdern, Simon Rydin Myerson
and Trevor Wooley for their help and advice with preparing this survey, in addition
to Vinay Kumaraswamy, Victor Wang and the anonymous referee for useful comments
on an earlier draft. This work was supported by a FWF Grant (DOI 10.55776/P36278).\r\nOpen
Access funding provided by Institute of Science and Technology Austria/KEMÖ."
article_number: e70371
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: 'Browning TD. The Davenport–Heilbronn method: 80 years on. Journal of the
London Mathematical Society. 2026;113(1). doi:10.1112/jlms.70371'
apa: 'Browning, T. D. (2026). The Davenport–Heilbronn method: 80 years on. Journal
of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.70371'
chicago: 'Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” Journal
of the London Mathematical Society. Wiley, 2026. https://doi.org/10.1112/jlms.70371.'
ieee: 'T. D. Browning, “The Davenport–Heilbronn method: 80 years on,” Journal
of the London Mathematical Society, vol. 113, no. 1. Wiley, 2026.'
ista: 'Browning TD. 2026. The Davenport–Heilbronn method: 80 years on. Journal of
the London Mathematical Society. 113(1), e70371.'
mla: 'Browning, Timothy D. “The Davenport–Heilbronn Method: 80 Years On.” Journal
of the London Mathematical Society, vol. 113, no. 1, e70371, Wiley, 2026,
doi:10.1112/jlms.70371.'
short: T.D. Browning, Journal of the London Mathematical Society 113 (2026).
corr_author: '1'
das_tickbox: '0'
date_created: 2026-01-18T23:02:44Z
date_published: 2026-01-06T00:00:00Z
date_updated: 2026-07-16T08:33:56Z
day: '06'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1112/jlms.70371
file:
- access_level: open_access
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date_created: 2026-01-19T08:19:46Z
date_updated: 2026-01-19T08:19:46Z
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language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
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grant_number: P36278
name: Rational curves via function field analytic number theory
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
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issn:
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publication_status: published
publisher: Wiley
quality_controlled: '1'
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supplementarymaterial: no
title: 'The Davenport–Heilbronn method: 80 years on'
tmp:
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year: '2026'
...
---
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_id: '21385'
abstract:
- lang: eng
text: 'We prove that the average size of a mixed character sum (math. formular)
(for a suitable smooth function w) is on the order of √x for all irrational real
θ satisfying a weak Diophantine condition, where χ is drawn from the family of
Dirichlet characters modulo a large prime r and where x 6 r. In contrast, it was
proved by Harper that the average size is o(√x) for rational θ. Certain quadratic
Diophantine equations play a key role in the present paper. '
acknowledgement: "We thank Ofir Gorodetsky, Andrew Granville, Adam Harper, Youness
Lamzouri,\r\nKannan Soundararajan, Ping Xi, and Matt Young for their interest, helpful
discussions, and comments. Special thanks are due to Jonathan Bober, Oleksiy Klurman,\r\nand
Besfort Shala for sending us a letter about Question 1.3, and to Hung Bui\r\nfor
informing us of [7]. V.W. thanks Stanford University for its hospitality and is
supported by the European Union’s Horizon 2020 research and innovation program\r\nunder
the Marie Skłodowska–Curie Grant Agreement No. 101034413. M.X. is supported by a
Simons Junior Fellowship from the Simons Society of Fellows at the\r\nSimons Foundation."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Victor
full_name: Wang, Victor
id: 76096395-aea4-11ed-a680-ab8ebbd3f1b9
last_name: Wang
orcid: 0000-0002-0704-7026
- first_name: Max
full_name: Xu, Max
last_name: Xu
citation:
ama: 'Wang V, Xu M. Average sizes of mixed character sums. Proceedings of the
Royal Society of Edinburgh: Section A Mathematics. 2026:1-15. doi:10.1017/prm.2026.10123'
apa: 'Wang, V., & Xu, M. (2026). Average sizes of mixed character sums. Proceedings
of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University
Press. https://doi.org/10.1017/prm.2026.10123'
chicago: 'Wang, Victor, and Max Xu. “Average Sizes of Mixed Character Sums.” Proceedings
of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University
Press, 2026. https://doi.org/10.1017/prm.2026.10123.'
ieee: 'V. Wang and M. Xu, “Average sizes of mixed character sums,” Proceedings
of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University
Press, pp. 1–15, 2026.'
ista: 'Wang V, Xu M. 2026. Average sizes of mixed character sums. Proceedings of
the Royal Society of Edinburgh: Section A Mathematics., 1–15.'
mla: 'Wang, Victor, and Max Xu. “Average Sizes of Mixed Character Sums.” Proceedings
of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University
Press, 2026, pp. 1–15, doi:10.1017/prm.2026.10123.'
short: 'V. Wang, M. Xu, Proceedings of the Royal Society of Edinburgh: Section A
Mathematics (2026) 1–15.'
corr_author: '1'
das_tickbox: '0'
date_created: 2026-03-02T10:09:23Z
date_published: 2026-01-01T00:00:00Z
date_updated: 2026-07-16T08:39:57Z
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1017/prm.2026.10123
ec_funded: 1
external_id:
arxiv:
- '2411.14181'
fulldoi: https://doi.org/10.1017/prm.2026.10123
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1017/prm.2026.10123
month: '01'
oa: 1
oa_version: Published Version
page: 1-15
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: 'Proceedings of the Royal Society of Edinburgh: Section A Mathematics'
publication_identifier:
eissn:
- 1473-7124
issn:
- 0308-2105
publication_status: epub_ahead
publisher: Cambridge University Press
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Average sizes of mixed character sums
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '21242'
abstract:
- lang: eng
text: We obtain an asymptotic formula for the number of integral solutions to a
system of diagonal equations. We obtain an asymptotic formula for the number of
solutions with variables restricted to smooth numbers as well. We improve the
required number of variables compared to previous results by incorporating recent
progress on Waring’s problem and the resolution of the main conjecture in Vinogradov’s
mean value theorem.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nick
full_name: Rome, Nick
last_name: Rome
- first_name: Shuntaro
full_name: Yamagishi, Shuntaro
id: 0c3fbc5c-f7a6-11ec-8d70-9485e75b416b
last_name: Yamagishi
citation:
ama: Rome N, Yamagishi S. Integral solutions to systems of diagonal equations. Pacific
Journal of Mathematics. 2026;340(1):179-198. doi:10.2140/pjm.2026.340.179
apa: Rome, N., & Yamagishi, S. (2026). Integral solutions to systems of diagonal
equations. Pacific Journal of Mathematics. Mathematical Sciences Publishers.
https://doi.org/10.2140/pjm.2026.340.179
chicago: Rome, Nick, and Shuntaro Yamagishi. “Integral Solutions to Systems of Diagonal
Equations.” Pacific Journal of Mathematics. Mathematical Sciences Publishers,
2026. https://doi.org/10.2140/pjm.2026.340.179.
ieee: N. Rome and S. Yamagishi, “Integral solutions to systems of diagonal equations,”
Pacific Journal of Mathematics, vol. 340, no. 1. Mathematical Sciences
Publishers, pp. 179–198, 2026.
ista: Rome N, Yamagishi S. 2026. Integral solutions to systems of diagonal equations.
Pacific Journal of Mathematics. 340(1), 179–198.
mla: Rome, Nick, and Shuntaro Yamagishi. “Integral Solutions to Systems of Diagonal
Equations.” Pacific Journal of Mathematics, vol. 340, no. 1, Mathematical
Sciences Publishers, 2026, pp. 179–98, doi:10.2140/pjm.2026.340.179.
short: N. Rome, S. Yamagishi, Pacific Journal of Mathematics 340 (2026) 179–198.
das_tickbox: '0'
date_created: 2026-02-16T15:17:27Z
date_published: 2026-01-01T00:00:00Z
date_updated: 2026-07-16T08:36:20Z
day: '01'
department:
- _id: TiBr
doi: 10.2140/pjm.2026.340.179
external_id:
arxiv:
- '2406.09256'
fulldoi: https://doi.org/10.2140/pjm.2026.340.179
intvolume: ' 340'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2406.09256
month: '01'
oa: 1
oa_version: Preprint
page: 179-198
publication: Pacific Journal of Mathematics
publication_identifier:
eissn:
- 1945-5844
issn:
- 0030-8730
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Integral solutions to systems of diagonal equations
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
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year: '2026'
...
---
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22318'
abstract:
- lang: eng
text: "Many intended uses of differential privacy involve a continual mechanism
that is set up to run continuously\r\nover a long period of time, making more
statistical releases as either queries come in or the dataset is updated.\r\nIn
this paper, we give the first general treatment of privacy against adaptive adversaries
for mechanisms that\r\nsupport dataset updates and a variety of queries, all arbitrarily
interleaved. It also models a very general notion\r\nof neighboring, that includes
both event-level and user-level privacy. We prove several concurrent composition\r\ntheorems
for continual mechanisms, which ensure privacy even when an adversary can interleave
its queries\r\nand dataset updates to the different composed mechanisms. Previous
concurrent composition theorems for\r\ndifferential privacy were only for the
case when the dataset is static, with no adaptive updates. We also give\r\nthe
first interactive and continual generalizations of the “parallel composition theorem”
for noninteractive\r\ndifferential privacy. Specifically, we show that the analogue
of the noninteractive parallel composition theorem\r\nholds if either there are
no adaptive dataset updates or each of the composed mechanisms satisfies pure\r\ndifferential
privacy, but it fails to hold for composing approximately differentially private
mechanisms with\r\ndataset updates. Thus, we prove a tight new composition theorem
for this case. In addition, we prove concurrent\r\nfilter compositions theorems
for the scenarios in which the privacy parameters are adaptively chosen. We\r\nextend
these results to other measures of differential privacy, including Rényi DP and
\U0001D453 -DP.\r\nWe then formalize a set of general conditions on a continual
mechanism M that runs multiple continual submechanisms such that the privacy guarantees
of M follow directly using the above concurrent composition\r\ntheorems on the
sub-mechanisms, without further privacy loss. This enables us to give a simpler
and modular\r\nprivacy analysis of a recent continual histogram mechanism of Henzinger,
Sricharan, and Steiner. In the\r\ncase of approximate DP, ours is the first proof
that shows that its privacy holds against adaptive adversaries.\r\nWe also provide
a framework that simplifies the analysis of local differential privacy when the
protocol\r\nincludes multi-round server-user interactions. Using this result,
we simplify the privacy analysis of the core\r\ndecomposition protocol of Dhulipala,
Henzinger, Li, Liu, Sricharan, and Zhu [5]."
acknowledgement: "1Salil Vadhan was supported by NSF grant BCS-2218803, a grant from
the Sloan Foundation, and\r\na Simons Investigator Award. Work began while a Visiting
Researcher at the Bocconi University\r\nDepartment of Computing Sciences, supported
by Luca Trevisan’s ERC Project GA-834861.\r\n2Monika Henzinger and Roodabeh Safavi
were supported by the European Research Council (ERC)\r\nunder the European Union’s
Horizon 2020 research and innovation programme (Grant agreement\r\nNo. 101019564),
and the Austrian Science Fund (FWF) under grants DOI 10.55776/Z422, DOI\r\n10.55776/I5982,
and DOI 10.55776/P33775. For open access purposes, the author has applied a CC BY\r\npublic
copyright license to any author-accepted manuscript version arising from this submission.\r\nViews
and opinions expressed are however those of the author(s)\r\nonly and do not necessarily
reflect those of the European Union\r\nor the European Research Council Executive
Agency. Neither the\r\nEuropean Union nor the granting authority can be held responsible
for them."
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Roodabeh
full_name: Safavi Hemami, Roodabeh
id: 72ed2640-8972-11ed-ae7b-f9c81ec75154
last_name: Safavi Hemami
- first_name: Salil
full_name: Vadhan, Salil
last_name: Vadhan
citation:
ama: Henzinger M, Safavi Hemami R, Vadhan S. Concurrent composition for differentially
private continual mechanisms. Proceedings of the ACM on Management of Data.
2026;4(2):1-26. doi:10.1145/3801895
apa: Henzinger, M., Safavi Hemami, R., & Vadhan, S. (2026). Concurrent composition
for differentially private continual mechanisms. Proceedings of the ACM on
Management of Data. Association for Computing Machinery. https://doi.org/10.1145/3801895
chicago: Henzinger, Monika, Roodabeh Safavi Hemami, and Salil Vadhan. “Concurrent
Composition for Differentially Private Continual Mechanisms.” Proceedings of
the ACM on Management of Data. Association for Computing Machinery, 2026.
https://doi.org/10.1145/3801895.
ieee: M. Henzinger, R. Safavi Hemami, and S. Vadhan, “Concurrent composition for
differentially private continual mechanisms,” Proceedings of the ACM on Management
of Data, vol. 4, no. 2. Association for Computing Machinery, pp. 1–26, 2026.
ista: Henzinger M, Safavi Hemami R, Vadhan S. 2026. Concurrent composition for differentially
private continual mechanisms. Proceedings of the ACM on Management of Data. 4(2),
1–26.
mla: Henzinger, Monika, et al. “Concurrent Composition for Differentially Private
Continual Mechanisms.” Proceedings of the ACM on Management of Data, vol.
4, no. 2, Association for Computing Machinery, 2026, pp. 1–26, doi:10.1145/3801895.
short: M. Henzinger, R. Safavi Hemami, S. Vadhan, Proceedings of the ACM on Management
of Data 4 (2026) 1–26.
corr_author: '1'
das_tickbox: '0'
date_created: 2026-07-13T14:59:14Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-07-16T09:14:49Z
day: '01'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.1145/3801895
ec_funded: 1
external_id:
arxiv:
- '2411.03299'
file:
- access_level: open_access
checksum: c6c5e256d02b90682c0690c3bee94040
content_type: application/pdf
creator: dernst
date_created: 2026-07-16T09:09:53Z
date_updated: 2026-07-16T09:09:53Z
file_id: '22345'
file_name: 2026_ACMMgmtData_Henzinger.pdf
file_size: 655405
relation: main_file
success: 1
file_date_updated: 2026-07-16T09:09:53Z
fulldoi: https://doi.org/10.1145/3801895
has_accepted_license: '1'
intvolume: ' 4'
issue: '2'
keyword:
- differential privacy
- concurrent composition
- continual release
- continual observation
- data streaming
- continual mechanisms
- concurrent parallel composition
- concurrent filter composition
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 1-26
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
call_identifier: H2020
grant_number: '101019564'
name: The design and evaluation of modern fully dynamic data structures
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
grant_number: I05982
name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
grant_number: P33775
name: Fast Algorithms for a Reactive Network Layer
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
grant_number: Z00422
name: Efficient algorithms
publication: Proceedings of the ACM on Management of Data
publication_identifier:
issn:
- 2836-6573
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Concurrent composition for differentially private continual mechanisms
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: 4
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22294'
abstract:
- lang: eng
text: 'Modern computer systems store vast amounts of personal data, enabling advances
in AI and ML but risking user privacy and trust. For privacy reasons, it is sometimes
desired for an ML model to forget part of the data it was trained on. In this
paper, we introduce a novel unlearning approach based on Forgetting Neural Networks
(FNNs), a neuroscience-inspired architecture that explicitly encodes forgetting
through multiplicative decay factors. While FNNs had previously been studied as
a theoretical construct, we provide the first concrete implementation and demonstrate
their effectiveness for targeted unlearning. We propose several variants with
per-neuron forgetting factors, including rank-based assignments guided by activation
levels, and evaluate them on MNIST and Fashion-MNIST benchmarks. Our method systematically
removes information associated with forget sets while preserving performance on
retained data. Membership inference attacks confirm the effectiveness of FNN-based
unlearning in erasing information about the training data from the neural network.
These results establish FNNs as a promising foundation for efficient and interpretable
unlearning. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Amartya
full_name: Hatua, Amartya
last_name: Hatua
- first_name: Trung
full_name: Nguyen, Trung
last_name: Nguyen
- first_name: Filip
full_name: Cano Cordoba, Filip
id: 708cad98-e86a-11ef-8098-bdae2d7c6af1
last_name: Cano Cordoba
orcid: 0000-0002-0783-904X
- first_name: Andrew
full_name: Sung, Andrew
last_name: Sung
citation:
ama: 'Hatua A, Nguyen T, Cano Cordoba F, Sung A. Machine unlearning using forgetting
neural networks. In: Proceedings of the 18th International Conference on Agents
and Artificial Intelligence. Vol 2. SciTePress; 2026:1536-1546. doi:10.5220/0014326500004052'
apa: 'Hatua, A., Nguyen, T., Cano Cordoba, F., & Sung, A. (2026). Machine unlearning
using forgetting neural networks. In Proceedings of the 18th International
Conference on Agents and Artificial Intelligence (Vol. 2, pp. 1536–1546).
Marbella, Spain: SciTePress. https://doi.org/10.5220/0014326500004052'
chicago: Hatua, Amartya, Trung Nguyen, Filip Cano Cordoba, and Andrew Sung. “Machine
Unlearning Using Forgetting Neural Networks.” In Proceedings of the 18th International
Conference on Agents and Artificial Intelligence, 2:1536–46. SciTePress, 2026.
https://doi.org/10.5220/0014326500004052.
ieee: A. Hatua, T. Nguyen, F. Cano Cordoba, and A. Sung, “Machine unlearning using
forgetting neural networks,” in Proceedings of the 18th International Conference
on Agents and Artificial Intelligence, Marbella, Spain, 2026, vol. 2, pp.
1536–1546.
ista: 'Hatua A, Nguyen T, Cano Cordoba F, Sung A. 2026. Machine unlearning using
forgetting neural networks. Proceedings of the 18th International Conference on
Agents and Artificial Intelligence. ICAART: International Conference on Agents
and Artificial Intelligence vol. 2, 1536–1546.'
mla: Hatua, Amartya, et al. “Machine Unlearning Using Forgetting Neural Networks.”
Proceedings of the 18th International Conference on Agents and Artificial Intelligence,
vol. 2, SciTePress, 2026, pp. 1536–46, doi:10.5220/0014326500004052.
short: A. Hatua, T. Nguyen, F. Cano Cordoba, A. Sung, in:, Proceedings of the 18th
International Conference on Agents and Artificial Intelligence, SciTePress, 2026,
pp. 1536–1546.
conference:
end_date: 2026-03-08
location: Marbella, Spain
name: 'ICAART: International Conference on Agents and Artificial Intelligence'
start_date: 2026-03-05
das_tickbox: '1'
date_created: 2026-07-13T09:46:46Z
date_published: 2026-06-30T00:00:00Z
date_updated: 2026-07-16T09:02:53Z
day: '30'
department:
- _id: ToHe
doi: 10.5220/0014326500004052
external_id:
arxiv:
- '2410.22374'
fulldoi: https://doi.org/10.5220/0014326500004052
intvolume: ' 2'
keyword:
- Machine Unlearning
- Neuroscience-Inspired Machine Learning
- Membership Inference Attacks
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2410.22374
month: '06'
oa: 1
oa_version: Preprint
page: 1536-1546
publication: Proceedings of the 18th International Conference on Agents and Artificial
Intelligence
publication_identifier:
eissn:
- 2184-433X
isbn:
- '9789897587962'
publication_status: published
publisher: SciTePress
quality_controlled: '1'
scopus_import: '1'
status: public
title: Machine unlearning using forgetting neural networks
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2026'
...
---
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22322'
abstract:
- lang: eng
text: "We study the problem of continually releasing statistics of an evolving dataset
under differential privacy. In the event-level setting, we show the first polynomial
lower bounds on the additive error for insertions-only graph problems such as
maximum matching, degree histogram and k-core number computation. These results
represent an exponential improvement on the polylogarithmic lower bounds of Fichtenberger,
Henzinger and Ost [ESA 2021] for the former two problems, and are the first lower
bounds in the continual release setting for the latter problem. Our results run
counter to the intuition that the difference between insertions-only vs fully
dynamic updates causes the gap between polylogarithmic and polynomial additive
error. Indeed, we show that for estimating the size of the maximum matching or
k-core number of a vertex, allowing small multiplicative approximations is what
brings the additive error down to polylogarithmic. We complement these results
with improved upper bounds on the additive error when no multiplicative approximation
is allowed.\r\nBeyond graphs, our techniques also show that polynomial additive
error is unavoidable for the Simultaneous Norm Estimation problem in the insertions-only
setting. When multiplicative approximations are allowed, we circumvent this lower
bound by giving the first continual mechanism with polylogarithmic additive error
under (1 + ζ) multiplicative approximations, for any ζ > 0, for estimating all
monotone symmetric norms simultaneously.\r\nIn the item-level setting, we show
polynomial lower bounds on the product of the multiplicative and the additive
error of continual mechanisms for a large range of graph problems. To the best
of our knowledge, these are the first lower bounds shown for any differentially
private mechanism under continual release with multiplicative error. To obtain
these results, we prove a new lower bound on the product of multiplicative and
additive error for the 1-Way-Marginals problem, and give reductions from 1-Way-Marginals
to our desired graph problems. This generalizes the prior results of Hardt and
Talwar [STOC 2010] and Bun, Ullman and Vadhan [STOC 2014, SIAM J. Comput. 2018],
who gave lower bounds on the additive error for the special case of mechanisms
with no multiplicative error."
acknowledgement: "Bardiya Aryanfard and Monika Henzinger were supported by the European
Research Council (ERC)\r\nunder the European Union’s Horizon 2020 research and innovation
programme (Grant agreement\r\nNo. 101019564). For open access purposes, the author
has applied a CC BY public copyright\r\nlicense to any author-accepted manuscript
version arising from this submission. Funded by the\r\nEuropean union. Views and
opinions expressed are however those of the author(s) only and do\r\nnot necessarily
reflect those of the European Union or the European Research Council Executive\r\nAgency.
Neither the European Union nor the granting authority can be held responsible for
them"
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Bardiya
full_name: Aryanfard, Bardiya
id: 1e8f4084-31df-11ee-b195-f706b4b77091
last_name: Aryanfard
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: David
full_name: Saulpic, David
id: f8e48cf0-b0ff-11ed-b0e9-b4c35598f964
last_name: Saulpic
- first_name: A. R.
full_name: Sricharan, A. R.
last_name: Sricharan
citation:
ama: Aryanfard B, Henzinger M, Saulpic D, Sricharan AR. Improved lower bounds for
privacy under continual release. Proceedings of the ACM on Management of Data.
2026;4(2):1-27. doi:10.1145/3801903
apa: Aryanfard, B., Henzinger, M., Saulpic, D., & Sricharan, A. R. (2026). Improved
lower bounds for privacy under continual release. Proceedings of the ACM on
Management of Data. Association for Computing Machinery. https://doi.org/10.1145/3801903
chicago: Aryanfard, Bardiya, Monika Henzinger, David Saulpic, and A. R. Sricharan.
“Improved Lower Bounds for Privacy under Continual Release.” Proceedings of
the ACM on Management of Data. Association for Computing Machinery, 2026.
https://doi.org/10.1145/3801903.
ieee: B. Aryanfard, M. Henzinger, D. Saulpic, and A. R. Sricharan, “Improved lower
bounds for privacy under continual release,” Proceedings of the ACM on Management
of Data, vol. 4, no. 2. Association for Computing Machinery, pp. 1–27, 2026.
ista: Aryanfard B, Henzinger M, Saulpic D, Sricharan AR. 2026. Improved lower bounds
for privacy under continual release. Proceedings of the ACM on Management of Data.
4(2), 1–27.
mla: Aryanfard, Bardiya, et al. “Improved Lower Bounds for Privacy under Continual
Release.” Proceedings of the ACM on Management of Data, vol. 4, no. 2,
Association for Computing Machinery, 2026, pp. 1–27, doi:10.1145/3801903.
short: B. Aryanfard, M. Henzinger, D. Saulpic, A.R. Sricharan, Proceedings of the
ACM on Management of Data 4 (2026) 1–27.
corr_author: '1'
das_tickbox: '0'
date_created: 2026-07-14T05:33:58Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-07-16T09:30:31Z
day: '01'
ddc:
- '000'
department:
- _id: MoHe
- _id: GradSch
doi: 10.1145/3801903
ec_funded: 1
external_id:
arxiv:
- '2512.15981'
file:
- access_level: open_access
checksum: 21a48a620e415a31a3874077c55bc6c3
content_type: application/pdf
creator: dernst
date_created: 2026-07-16T09:29:08Z
date_updated: 2026-07-16T09:29:08Z
file_id: '22349'
file_name: 2026_ACMMgmtData_Aryanfard.pdf
file_size: 934963
relation: main_file
success: 1
file_date_updated: 2026-07-16T09:29:08Z
fulldoi: https://doi.org/10.1145/3801903
has_accepted_license: '1'
intvolume: ' 4'
issue: '2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 1-27
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
call_identifier: H2020
grant_number: '101019564'
name: The design and evaluation of modern fully dynamic data structures
publication: Proceedings of the ACM on Management of Data
publication_identifier:
issn:
- 2836-6573
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Improved lower bounds for privacy under continual release
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: 4
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22326'
abstract:
- lang: eng
text: In many developmental systems, cells differentiate into a tissue by reading
out morphogen concentration fields, a process fundamentally limited by noise.
How much can the precision of this process be improved by nonlocal information,
e.g., via cell-cell communication? Using a Bayes-optimal framework, we show that
positional inference depends crucially on morphogen spatial correlations and on
the "structural prior" that encodes the geometry of the cellular lattice performing
the readout, thereby determining what a cell can reliably assume about the position
of its neighbors when interpreting nonlocal morphogen signals. We derive upper
bounds on positional information gain due to nonlocal readout and identify signal
processing algorithms that approximate optimal positional inference, as well as
simple chemical reaction schemes which implement such algorithms. Our theory suggests
that correlational information can be exploited to significantly enhance developmental
precision.
acknowledgement: "This work was supported in part\r\nby European Research Council
No. ERC-2023-SyG\r\n“DynaTrans” Grant No. 101118866 (G. T.). We thank\r\nPieter
Rein ten Wolde and Vahe Galstyan for stimulating\r\ndiscussions."
article_number: '038401'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Chen Y
full_name: Zhang, Chen Y
id: 81b43fb8-c9d5-11ef-bf68-ade532a1f204
last_name: Zhang
- first_name: Pablo
full_name: Mateu Hoyos, Pablo
id: 50b236c7-50c1-11ef-bb9a-a2375694f8b5
last_name: Mateu Hoyos
- first_name: David
full_name: Brückner, David
id: e1e86031-6537-11eb-953a-f7ab92be508d
last_name: Brückner
orcid: 0000-0001-7205-2975
- first_name: Gašper
full_name: Tkačik, Gašper
id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
last_name: Tkačik
orcid: 0000-0002-6699-1455
citation:
ama: Zhang CY, Mateu Hoyos P, Brückner D, Tkačik G. Nonlocal decoding of positional
and correlational information during development. Physical Review Letters.
2026;137. doi:10.1103/mbjk-v4ym
apa: Zhang, C. Y., Mateu Hoyos, P., Brückner, D., & Tkačik, G. (2026). Nonlocal
decoding of positional and correlational information during development. Physical
Review Letters. American Physical Society. https://doi.org/10.1103/mbjk-v4ym
chicago: Zhang, Chen Y, Pablo Mateu Hoyos, David Brückner, and Gašper Tkačik. “Nonlocal
Decoding of Positional and Correlational Information during Development.” Physical
Review Letters. American Physical Society, 2026. https://doi.org/10.1103/mbjk-v4ym.
ieee: C. Y. Zhang, P. Mateu Hoyos, D. Brückner, and G. Tkačik, “Nonlocal decoding
of positional and correlational information during development,” Physical Review
Letters, vol. 137. American Physical Society, 2026.
ista: Zhang CY, Mateu Hoyos P, Brückner D, Tkačik G. 2026. Nonlocal decoding of
positional and correlational information during development. Physical Review Letters.
137, 038401.
mla: Zhang, Chen Y., et al. “Nonlocal Decoding of Positional and Correlational Information
during Development.” Physical Review Letters, vol. 137, 038401, American
Physical Society, 2026, doi:10.1103/mbjk-v4ym.
short: C.Y. Zhang, P. Mateu Hoyos, D. Brückner, G. Tkačik, Physical Review Letters
137 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: "Code to evaluate PI, to run algorithmic implementations
of ALP and RLP decoding, and to\r\nperform simulations is publicly available at
https://github.com/alex-chenyi-zhang/nonlocdec_pici."
date_created: 2026-07-14T05:38:28Z
date_published: 2026-07-15T00:00:00Z
date_updated: 2026-07-16T09:58:04Z
day: '15'
ddc:
- '530'
department:
- _id: GaTk
- _id: EdHa
- _id: GradSch
doi: 10.1103/mbjk-v4ym
file:
- access_level: open_access
checksum: 28861d31d0f6cf541aaca04faaed1767
content_type: application/pdf
creator: dernst
date_created: 2026-07-16T09:54:55Z
date_updated: 2026-07-16T09:54:55Z
file_id: '22352'
file_name: 2026_PhysicalReviewLetters_Zhang.pdf
file_size: 2550345
relation: main_file
success: 1
file_date_updated: 2026-07-16T09:54:55Z
fulldoi: https://doi.org/10.1103/mbjk-v4ym
has_accepted_license: '1'
intvolume: ' 137'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 7bfe6a29-9f16-11ee-852c-c0da5e2045d9
grant_number: '101118866'
name: 'Transcription in 4D: the dynamic interplay between chromatin architecture
and gene expression in developing pseudo-embryos'
publication: Physical Review Letters
publication_identifier:
eissn:
- ' 1079-7114'
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Nonlocal decoding of positional and correlational information during development
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: 137
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22333'
abstract:
- lang: eng
text: RNA polymerase II (Pol II) must be assembled in the cytoplasm before it enters
the nucleus, where it transcribes protein-coding genes. Although transcription
by Pol II is intensively studied, how this central multi-subunit enzyme is made
and the role of dedicated assembly factors remains unclear. Here, we report the
integrative structural analysis of a native human Pol II from the cytoplasm captured
near the end of biogenesis. The complex contains Gdown1 and three biogenesis factors
– RPAP2 and the critical small GTPases GPN1 and GPN3. Cryo-EM analysis of the
complex reveals how Gdown1 and RPAP2 associate with Pol II and prevent the premature
association of transcription factors. Further biochemical and cryo-EM analysis
reveals how RPAP2 tethers GPN1–GPN3 to the complex and how the assembly of the
RPAP2–GPN1–GPN3 complex is controlled by GTP hydrolysis. The combined results
uncover a network of interactions that chaperone cytoplasmic Pol II to prevent
aberrant interactions, reveal a molecular switch regulating biogenesis factor
association, and suggest a general mechanism for the action of GPN-loop GTPase
family of enzymes.
acknowledged_ssus:
- _id: LifeSc
- _id: EM-Fac
- _id: ScienComp
- _id: PreCl
acknowledgement: We thank A. Salmazo for assistance with Pol II purification. We thank
staff at the Vienna BioCenter Core Facilities (VBCF) Proteomics facility for immunoprecipitation-mass
spectrometry analysis, and J.A. Stopp for assistance with IP-MS data visualization.
This research was further supported by the Scientific Service Units (SSUs) of ISTA
through resources provided by the Lab Support Facility (LSF), Electron Microscopy
Facility (EMF), Scientific Computing (SciComp), and the Preclinical Facility (PCF).
F.H. was funded by the Endowed Professorship of the Lower Austria Research Funding
Agency (GFF NÖ) and by the Austrian Research Promotion Agency (FFG) through the
COIN Establishment Grant n.o. 45624401.
article_processing_charge: Yes
article_type: original
author:
- first_name: Annamaria
full_name: Hlavata, Annamaria
id: 36062FEC-F248-11E8-B48F-1D18A9856A87
last_name: Hlavata
- first_name: Benjamin
full_name: Neuditschko, Benjamin
last_name: Neuditschko
- first_name: Ulla
full_name: Schellhaas, Ulla
last_name: Schellhaas
- first_name: Clemens
full_name: Plaschka, Clemens
last_name: Plaschka
- first_name: Franz
full_name: Herzog, Franz
last_name: Herzog
- first_name: Carrie A
full_name: Bernecky, Carrie A
id: 2CB9DFE2-F248-11E8-B48F-1D18A9856A87
last_name: Bernecky
orcid: 0000-0003-0893-7036
biorxivid: 1
citation:
ama: Hlavata A, Neuditschko B, Schellhaas U, Plaschka C, Herzog F, Bernecky C. Structure
of cytoplasmic RNA polymerase II. Nature Communications. 2026. doi:10.1038/s41467-026-75416-8
apa: Hlavata, A., Neuditschko, B., Schellhaas, U., Plaschka, C., Herzog, F., &
Bernecky, C. (2026). Structure of cytoplasmic RNA polymerase II. Nature Communications.
Springer Nature. https://doi.org/10.1038/s41467-026-75416-8
chicago: Hlavata, Annamaria, Benjamin Neuditschko, Ulla Schellhaas, Clemens Plaschka,
Franz Herzog, and Carrie Bernecky. “Structure of Cytoplasmic RNA Polymerase II.”
Nature Communications. Springer Nature, 2026. https://doi.org/10.1038/s41467-026-75416-8.
ieee: A. Hlavata, B. Neuditschko, U. Schellhaas, C. Plaschka, F. Herzog, and C.
Bernecky, “Structure of cytoplasmic RNA polymerase II,” Nature Communications.
Springer Nature, 2026.
ista: Hlavata A, Neuditschko B, Schellhaas U, Plaschka C, Herzog F, Bernecky C.
2026. Structure of cytoplasmic RNA polymerase II. Nature Communications.
mla: Hlavata, Annamaria, et al. “Structure of Cytoplasmic RNA Polymerase II.” Nature
Communications, Springer Nature, 2026, doi:10.1038/s41467-026-75416-8.
short: A. Hlavata, B. Neuditschko, U. Schellhaas, C. Plaschka, F. Herzog, C. Bernecky,
Nature Communications (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: "The\r\nc ryo EM maps generated in this study were deposited
to the EM Data Bank under the\r\naccession codes: EMD 55583 [https://www.ebi.ac.uk/pdbe/entry/emdb/EMD
55583\r\n(Pol II Gdown1 RPAP2 composite map), EMD 55578\r\n[https://www.ebi.ac.uk/pdbe/entry/emdb/EMD
55578 Pol II Gdown1 RPAP2 Pol II core\r\nmap EMD 55579 [https://www.ebi.ac.uk/pdbe/entry/emdb/EMD
55579 Pol II\r\nGdown1 RPAP2 Pol II stalk map EMD 55580\r\n[https://www.ebi.ac.uk/pdbe/entry/emdb/EMD
55580 Pol II Gdown1 RPAP2 RPAP2\r\nmap EMD 55581 [https://www.ebi.ac.uk/pdbe/entry/emdb/EMD
55 581 Pol II\r\nGdown1 RPAP2 Gdown1 N terminus map EMD 55582\r\n[https://www.ebi.ac.uk/pdbe/entry/emdb/EMD
55582 Pol II Gdown1 RPAP2 Gdown1\r\nC terminus map and EMD 55585 [https://www.ebi.ac.uk/pdbe/entry/emdb/EMD\r\n55585
RPAP2 GPN1 GPN3 map Model coordi nates were deposited to the PDBe under\r\nthe accession
codes: 9T5H [http://doi.org/10.2210/pdb 9T5H / (Pol II Gdown1\r\nRPAP2 complex structure)
and 9T5J [http://doi.org/10.2210/pdb 9T5H / (GPN1\r\nGPN3 RPAP2 structure). Immunoprecipitation
mass spectrometry and crosslinking mass\r\nspectrometry proteomics data have been
deposited to the ProteomeXchange Consortium\r\nvia the PRIDE partner repository
with the dataset identifiers PXD071638\r\n[http://proteomecentral.proteomexchange.org/cgi/GetDataset?ID=PXD
071638 and\r\nP XD070852\r\n[http://proteomecentral.proteomexchange.org/cgi/GetDataset?ID=PXD
070852\r\nAlphaFold3 structure predictions have been deposited to the Zenodo repository\r\nhttps://doi.org/10.5281/zenodo.20687910
P reviously published model coordinates\r\nwere utilized and are available at the
PDB under the accession codes 8QEP\r\n[http://doi.org/10.2210/pdb 8QEP / 9BZ 0 [http://doi.org/10.2210/pdb
9BZ 0 /\r\nand 7B7U [http://doi.org/10.2210/pdb 7B7U / Source Data are provided
with this\r\npaper."
date_created: 2026-07-14T07:27:59Z
date_published: 2026-07-13T00:00:00Z
date_updated: 2026-07-16T11:29:31Z
day: '13'
ddc:
- '570'
department:
- _id: CaBe
doi: 10.1038/s41467-026-75416-8
external_id:
biorxivid:
- 10.64898/2025.12.10.692585
fulldoi: https://doi.org/10.1038/s41467-026-75416-8
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1038/s41467-026-75416-8
month: '07'
oa: 1
oa_version: Published Version
publication: Nature Communications
publication_identifier:
eissn:
- 2041-1723
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Structure of cytoplasmic RNA polymerase II
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'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21777'
abstract:
- lang: eng
text: The advantageous characteristics attributed to the 19F nucleus have made it
a popular target for nuclear magnetic resonance (NMR) once again in recent years.
Aside from solution NMR, an increasing number of studies have been conducted applying
solid-state magic-angle spinning (MAS) NMR to fluorine-labelled samples. Here,
the high chemical shift anisotropy and strong dipolar couplings can be utilised
to get structural insights into proteins and measure long distances. Despite increasing
popularity and promising benefits, the sensitivity of biomolecular 19F MAS NMR
often suffers from slow longitudinal T1 relaxation and therefore long recycle
delays. In this work, we expand paramagnetic doping, an approach commonly used
to reduce proton T1 relaxation times, to 19F-labelled biological samples. We study
the effect of Gd(DTPA) and Gd(DTPA-BMA) on 19F T1 and T2, and 13C T1 and T2 relaxation
in a [5-19F13C]-tryptophan-labelled protein via 19F-detected MAS NMR experiments.
The observed paramagnetic relaxation enhancement substantially reduces measurement
times of 19F MAS NMR experiments without compromising resolution. Additionally,
we report the chemical shift assignments of all four fluorotryptophan signals
in the 12×39 kDa-large protein TET2 using a mutagenesis approach.
acknowledged_ssus:
- _id: NMR
- _id: LifeSc
acknowledgement: We thank Ben P. Tatman for insightful discussions. This research
was supported by the Scientific Service Units (SSUs) of ISTA through resources provided
by the Nuclear Magnetic Resonance Facility and the Lab Support Facility. We thank
Prof. Tobias Madl (Medical University Graz) for a sample of Omniscan. Lea M. Becker
is the recipient of a DOC fellowship of the Austrian Academy of Sciences at the
Institute of Science and Technology Austria (grant no. PR10660EAW01).
article_processing_charge: Yes
article_type: original
author:
- first_name: Lea Marie
full_name: Becker, Lea Marie
id: 36336939-eb97-11eb-a6c2-c83f1214ca79
last_name: Becker
orcid: 0000-0002-6401-5151
- first_name: Giorgia
full_name: Toscano, Giorgia
id: 334a5e40-8747-11f0-b671-ba1f5154b4b4
last_name: Toscano
- first_name: Anna
full_name: Kapitonova, Anna
id: 9fb2a840-89e1-11ee-a8b7-cc5c7ba62471
last_name: Kapitonova
- first_name: Rajkumar
full_name: Singh, Rajkumar
id: a3089acd-6806-11ee-bacc-f0c7d500ad20
last_name: Singh
- first_name: Undina
full_name: Guillerm, Undina
id: bb74f472-ae54-11eb-9835-bc9c22fb1183
last_name: Guillerm
- first_name: Roman J.
full_name: Lichtenecker, Roman J.
last_name: Lichtenecker
- first_name: Paul
full_name: Schanda, Paul
id: 7B541462-FAF6-11E9-A490-E8DFE5697425
last_name: Schanda
orcid: 0000-0002-9350-7606
citation:
ama: Becker LM, Toscano G, Kapitonova A, et al. Accelerated 19F biomolecular magic-angle
spinning NMR with paramagnetic dopants. Magnetic Resonance. 2026;7(1):29-37.
doi:10.5194/mr-7-29-2026
apa: Becker, L. M., Toscano, G., Kapitonova, A., Singh, R., Guillerm, U., Lichtenecker,
R. J., & Schanda, P. (2026). Accelerated 19F biomolecular magic-angle spinning
NMR with paramagnetic dopants. Magnetic Resonance. Copernicus Publications.
https://doi.org/10.5194/mr-7-29-2026
chicago: Becker, Lea Marie, Giorgia Toscano, Anna Kapitonova, Rajkumar Singh, Undina
Guillerm, Roman J. Lichtenecker, and Paul Schanda. “Accelerated 19F Biomolecular
Magic-Angle Spinning NMR with Paramagnetic Dopants.” Magnetic Resonance.
Copernicus Publications, 2026. https://doi.org/10.5194/mr-7-29-2026.
ieee: L. M. Becker et al., “Accelerated 19F biomolecular magic-angle spinning
NMR with paramagnetic dopants,” Magnetic Resonance, vol. 7, no. 1. Copernicus
Publications, pp. 29–37, 2026.
ista: Becker LM, Toscano G, Kapitonova A, Singh R, Guillerm U, Lichtenecker RJ,
Schanda P. 2026. Accelerated 19F biomolecular magic-angle spinning NMR with paramagnetic
dopants. Magnetic Resonance. 7(1), 29–37.
mla: Becker, Lea Marie, et al. “Accelerated 19F Biomolecular Magic-Angle Spinning
NMR with Paramagnetic Dopants.” Magnetic Resonance, vol. 7, no. 1, Copernicus
Publications, 2026, pp. 29–37, doi:10.5194/mr-7-29-2026.
short: L.M. Becker, G. Toscano, A. Kapitonova, R. Singh, U. Guillerm, R.J. Lichtenecker,
P. Schanda, Magnetic Resonance 7 (2026) 29–37.
corr_author: '1'
date_created: 2026-05-03T22:01:36Z
date_published: 2026-04-16T00:00:00Z
date_updated: 2026-07-20T09:49:12Z
day: '16'
ddc:
- '540'
department:
- _id: PaSc
- _id: GradSch
doi: 10.5194/mr-7-29-2026
external_id:
pmid:
- '42057802'
fulldoi: https://doi.org/10.5194/mr-7-29-2026
has_accepted_license: '1'
intvolume: ' 7'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.5194/mr-7-29-2026
month: '04'
oa: 1
oa_version: Published Version
page: 29-37
pmid: 1
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: 7be609c4-9f16-11ee-852c-85015ce2b9b0
grant_number: '26777'
name: Exploring protein dynamics by solid-state MAS NMR through specific labeling
approaches
publication: Magnetic Resonance
publication_identifier:
eissn:
- 2699-0016
publication_status: published
publisher: Copernicus Publications
quality_controlled: '1'
related_material:
record:
- id: '22334'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Accelerated 19F biomolecular magic-angle spinning NMR with paramagnetic dopants
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: 7
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22359'
abstract:
- lang: eng
text: We prove a mesoscopic central limit theorem for linear eigenvalue statistics
of correlated Hermitian random matrices. The class considered here includes Wigner
and Wigner-type matrices, as well as models whose entry correlations decay polynomially
in the distance between index pairs. The proof combines a multivariate cumulant
expansion with multi-resolvent local laws and a detailed analysis of the resulting
variance kernel on the operator-level.
acknowledgement: Supported by ERC Advanced Grant “RMTBeyond” No. 101020331
article_number: '2607.05848'
article_processing_charge: No
arxiv: 1
author:
- first_name: Jaehun
full_name: Lee, Jaehun
id: 96155047-f36a-11ef-b766-8b5ae7cecd49
last_name: Lee
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Lee J, Erdös L. Mesoscopic eigenvalue statistics for correlated random matrices.
doi:10.48550/arXiv.2607.05848
apa: Lee, J., & Erdös, L. (n.d.). Mesoscopic eigenvalue statistics for correlated
random matrices. https://doi.org/10.48550/arXiv.2607.05848
chicago: Lee, Jaehun, and László Erdös. “Mesoscopic Eigenvalue Statistics for Correlated
Random Matrices,” n.d. https://doi.org/10.48550/arXiv.2607.05848.
ieee: J. Lee and L. Erdös, “Mesoscopic eigenvalue statistics for correlated random
matrices.” .
ista: Lee J, Erdös L. Mesoscopic eigenvalue statistics for correlated random matrices.
2607.05848.
mla: Lee, Jaehun, and László Erdös. Mesoscopic Eigenvalue Statistics for Correlated
Random Matrices. 2607.05848, doi:10.48550/arXiv.2607.05848.
short: J. Lee, L. Erdös, (n.d.).
corr_author: '1'
das_tickbox: '1'
date_created: 2026-07-18T08:59:02Z
date_published: 2026-07-07T00:00:00Z
date_updated: 2026-07-20T10:55:10Z
day: '07'
department:
- _id: LaEr
doi: 10.48550/arXiv.2607.05848
ec_funded: 1
external_id:
arxiv:
- '2607.05848'
fulldoi: https://doi.org/10.48550/arXiv.2607.05848
keyword:
- Central limit theorem
- universality
- matrix Dyson equation
- multi-resolvent local law
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2607.05848
month: '07'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication_status: submitted
status: public
title: Mesoscopic eigenvalue statistics for correlated random matrices
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '22360'
abstract:
- lang: eng
text: "In this paper, we consider the rectangular random matrix\r\nX =(xij ) ∈ RN×n
whose entries are iid with tail P(|xij | >\r\nt) ∼ t−α for some α> 0. We consider
the regime N(n)/n →\r\na > 1 as n tends to infinity. Our main interest lies in
the right\r\nsingular vector corresponding to the smallest singular value,\r\nwhich
we will refer to as the ``bottom singular vector'', denoted\r\nby \U0001D532.
In this paper, we prove the following phase transition\r\nregarding the localization
length of \U0001D532: when α< 2 the\r\nlocalization length is O(n/ log n); when
α> 2 the localization\r\nlength is of order n. Similar results hold for all right
singular\r\nvectors around the smallest singular value. The variational\r\ndefinition
of the bottom singular vector suggests that the\r\nmechanism for this localization-delocalization
transition when\r\nα goes across 2 is intrinsically different from the one for
the\r\ntop singular vector when α goes across 4"
article_number: '111266'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Zhigang
full_name: Bao, Zhigang
last_name: Bao
- first_name: Jaehun
full_name: Lee, Jaehun
id: 96155047-f36a-11ef-b766-8b5ae7cecd49
last_name: Lee
- first_name: Xiaocong
full_name: Xu, Xiaocong
last_name: Xu
citation:
ama: Bao Z, Lee J, Xu X. Phase transition for the bottom singular vector of rectangular
random matrices. Journal of Functional Analysis. 2026;290(4). doi:10.1016/j.jfa.2025.111266
apa: Bao, Z., Lee, J., & Xu, X. (2026). Phase transition for the bottom singular
vector of rectangular random matrices. Journal of Functional Analysis.
Elsevier. https://doi.org/10.1016/j.jfa.2025.111266
chicago: Bao, Zhigang, Jaehun Lee, and Xiaocong Xu. “Phase Transition for the Bottom
Singular Vector of Rectangular Random Matrices.” Journal of Functional Analysis.
Elsevier, 2026. https://doi.org/10.1016/j.jfa.2025.111266.
ieee: Z. Bao, J. Lee, and X. Xu, “Phase transition for the bottom singular vector
of rectangular random matrices,” Journal of Functional Analysis, vol. 290,
no. 4. Elsevier, 2026.
ista: Bao Z, Lee J, Xu X. 2026. Phase transition for the bottom singular vector
of rectangular random matrices. Journal of Functional Analysis. 290(4), 111266.
mla: Bao, Zhigang, et al. “Phase Transition for the Bottom Singular Vector of Rectangular
Random Matrices.” Journal of Functional Analysis, vol. 290, no. 4, 111266,
Elsevier, 2026, doi:10.1016/j.jfa.2025.111266.
short: Z. Bao, J. Lee, X. Xu, Journal of Functional Analysis 290 (2026).
date_created: 2026-07-18T10:32:41Z
date_published: 2026-02-15T00:00:00Z
date_updated: 2026-07-20T11:01:15Z
day: '15'
doi: 10.1016/j.jfa.2025.111266
extern: '1'
external_id:
arxiv:
- '2409.01819'
fulldoi: https://doi.org/10.1016/j.jfa.2025.111266
intvolume: ' 290'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2409.01819
month: '02'
oa: 1
oa_version: Preprint
publication: Journal of Functional Analysis
publication_identifier:
eissn:
- 1096-0783
issn:
- 0022-1236
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Phase transition for the bottom singular vector of rectangular random matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 290
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22362'
abstract:
- lang: eng
text: "We present a systematic study of the environments of 25 luminous quasars
at z > 6.5 from the ASPIRE program.\r\nUsing JWST/NIRCam wide-field slitless spectroscopy
data, we identified 487 galaxies at 5.3 ≲ z ≲ 7.0 exhibiting\r\n[O III] emission.
Among these, 122 [O III] emitters lie within |Δvlos| < 1000 km s\r\n−1 of the
quasars, corresponding\r\nto a ∼9.4-fold enhancement relative to the average galaxy
density at other redshifts. Furthermore, we identified 16\r\n[C II]-emitting galaxies
at the quasar redshifts from Atacama Large Millimeter/submillimeter Array (ALMA)
mosaic observations. A cross-correlation function analysis between quasars and
[O III]+[C II] emitters yields a\r\ncross-correlation length of r 8.68 h cMpc
0\r\nQG\r\n0.55 = +0.51 1\r\nand an autocorrelation of r 15.76 h cMpc 0\r\nQQ\r\n2.70
= +2.48 1 ,\r\nindicating that z ∼ 7 quasars reside in dark matter halos with\r\nMhalo
1012.27 0.26 M 0.21\r\n= +\r\nand have a quasar lifetime of\r\ntQ 10 yr 7.05 1.01\r\n0.95\r\n=
+\r\n. Notably, the number of [O III]-emitting galaxies at quasar redshifts varies
significantly from\r\nfield to field, ranging from 0 to 20, highlighting a diverse
quasar environment. Remarkably, seven quasars trace\r\nsignificant galaxy overdensities
(i.e., protoclusters), with δgal > 5 within a volume of V ∼ 500 cMpc3\r\n. We
also\r\nfind that |Δvlos| increases rapidly toward smaller galaxy–quasar separations
in protocluster fields, consistent with\r\ngalaxy kinematics around extremely
massive halos in cosmological simulations. By combining JWST and ALMA\r\ndata,
we reveal the complex and diverse environments of these early quasars, providing
robust evidence that the\r\nearliest luminous quasars are effective tracers of
galaxy overdensities, albeit with substantial field-to-field\r\nvariation."
acknowledgement: "F.W. acknowledges support from NSF award AST-2513040. J.B.C. acknowledges
funding from the JWST Arizona/Steward Postdoc in Early galaxies and Reionization
(JASPER) Scholar contract at the University of Arizona. M.H. acknowledges support
from the Swiss SNSF Starting Grant (grant no. 218032). S.E.I.B. is supported by
the Deutsche Forschungsgemeinschaft (DFG) under Emmy Noether grant No. BO 5771/1-1.
J.-T.S. is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research
Foundation)—project No. 518006966. A.L. acknowledges support from PRIN MUR 2022935STW.
C.M. acknowledges support from Fondecyt Iniciacion grant 11240336 and the ANID BASAL
project FB210003. R.A.M. acknowledges support from the Swiss National Science Foundation
(SNSF) through project grant 200020_207349. B.T. acknowledges support from the European
Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
program (grant agreement No. 950533) and from the Excellence Cluster ORIGINS, which
is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
under Germany’s Excellence Strategy—EXC 2094—390783311. M.V. gratefully acknowledges
financial support from the Independent Research Fund Denmark via grant Nos. DFF
8021-00130 and 3103-00146 and from the Carlsberg Foundation (grant CF23-0417).\r\n\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 #2078 and can be accessed via doi:10.17909/vt74-kd84.
Support for program #2078 was provided by NASA through a grant from the Space Telescope
Science Institute, which is operated by the Association of Universities for Research
in Astronomy, Inc., under NASA contract NAS 5-03127. We acknowledge the strong support
provided by the program coordinator Weston Eck and instrument reviewers Norbert
Pirzkal and Stephanie La Massa."
article_number: '39'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Feige
full_name: Wang, Feige
last_name: Wang
- first_name: Jaclyn B.
full_name: Champagne, Jaclyn B.
last_name: Champagne
- first_name: Jiamu
full_name: Huang, Jiamu
last_name: Huang
- first_name: Jinyi
full_name: Yang, Jinyi
last_name: Yang
- first_name: Joseph F.
full_name: Hennawi, Joseph F.
last_name: Hennawi
- first_name: Xiaohui
full_name: Fan, Xiaohui
last_name: Fan
- first_name: Haowen
full_name: Zhang, Haowen
last_name: Zhang
- first_name: Tiago
full_name: Costa, Tiago
last_name: Costa
- first_name: Roberto
full_name: Decarli, Roberto
last_name: Decarli
- first_name: Melanie
full_name: Habouzit, Melanie
last_name: Habouzit
- first_name: Fengwu
full_name: Sun, Fengwu
last_name: Sun
- first_name: Eduardo
full_name: Bañados, Eduardo
last_name: Bañados
- first_name: Xiangyu
full_name: Jin, Xiangyu
last_name: Jin
- first_name: Koki
full_name: Kakiichi, Koki
last_name: Kakiichi
- first_name: Romain A.
full_name: Meyer, Romain A.
last_name: Meyer
- first_name: Yunjing
full_name: Wu, Yunjing
last_name: Wu
- first_name: Silvia
full_name: Belladitta, Silvia
last_name: Belladitta
- first_name: Laura
full_name: Blecha, Laura
last_name: Blecha
- first_name: Sarah E.I.
full_name: Bosman, Sarah E.I.
last_name: Bosman
- first_name: Zheng
full_name: Cai, Zheng
last_name: Cai
- first_name: Thomas
full_name: Connor, Thomas
last_name: Connor
- first_name: Frederick B.
full_name: Davies, Frederick B.
last_name: Davies
- first_name: Anna Christina
full_name: Eilers, Anna Christina
last_name: Eilers
- first_name: Zoltán
full_name: Haiman, Zoltán
id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
last_name: Haiman
orcid: 0000-0003-3633-5403
- first_name: Hyunsung D.
full_name: Jun, Hyunsung D.
last_name: Jun
- first_name: Mingyu
full_name: Li, Mingyu
last_name: Li
- first_name: Zihao
full_name: Li, Zihao
last_name: Li
- first_name: Weizhe
full_name: Liu, Weizhe
last_name: Liu
- first_name: Alessandro
full_name: Lupi, Alessandro
last_name: Lupi
- first_name: Jianwei
full_name: Lyu, Jianwei
last_name: Lyu
- first_name: Chiara
full_name: Mazzucchelli, Chiara
last_name: Mazzucchelli
- first_name: Masafusa
full_name: Onoue, Masafusa
last_name: Onoue
- first_name: Elia
full_name: Pizzati, Elia
last_name: Pizzati
- first_name: Maria
full_name: Pudoka, Maria
last_name: Pudoka
- first_name: Sofía
full_name: Rojas-Ruiz, Sofía
last_name: Rojas-Ruiz
- first_name: Jan Torge
full_name: Schindler, Jan Torge
last_name: Schindler
- first_name: Yue
full_name: Shen, Yue
last_name: Shen
- first_name: Wei Leong
full_name: Tee, Wei Leong
last_name: Tee
- first_name: Benny
full_name: Trakhtenbrot, Benny
last_name: Trakhtenbrot
- first_name: Maxime
full_name: Trebitsch, Maxime
last_name: Trebitsch
- first_name: Marianne
full_name: Vestergaard, Marianne
last_name: Vestergaard
- first_name: Marta
full_name: Volonteri, Marta
last_name: Volonteri
- first_name: Fabian
full_name: Walter, Fabian
last_name: Walter
- first_name: Huanian
full_name: Zhang, Huanian
last_name: Zhang
- first_name: Siwei
full_name: Zou, Siwei
last_name: Zou
citation:
ama: 'Wang F, Champagne JB, Huang J, et al. ASPIRE: The environments and dark matter
halos of luminous quasars in the epoch of reionization. Astrophysical Journal.
2026;1006(1). doi:10.3847/1538-4357/ae7bfa'
apa: 'Wang, F., Champagne, J. B., Huang, J., Yang, J., Hennawi, J. F., Fan, X.,
… Zou, S. (2026). ASPIRE: The environments and dark matter halos of luminous quasars
in the epoch of reionization. Astrophysical Journal. IOP Publishing. https://doi.org/10.3847/1538-4357/ae7bfa'
chicago: 'Wang, Feige, Jaclyn B. Champagne, Jiamu Huang, Jinyi Yang, Joseph F. Hennawi,
Xiaohui Fan, Haowen Zhang, et al. “ASPIRE: The Environments and Dark Matter Halos
of Luminous Quasars in the Epoch of Reionization.” Astrophysical Journal.
IOP Publishing, 2026. https://doi.org/10.3847/1538-4357/ae7bfa.'
ieee: 'F. Wang et al., “ASPIRE: The environments and dark matter halos of
luminous quasars in the epoch of reionization,” Astrophysical Journal,
vol. 1006, no. 1. IOP Publishing, 2026.'
ista: 'Wang F, Champagne JB, Huang J, Yang J, Hennawi JF, Fan X, Zhang H, Costa
T, Decarli R, Habouzit M, Sun F, Bañados E, Jin X, Kakiichi K, Meyer RA, Wu Y,
Belladitta S, Blecha L, Bosman SEI, Cai Z, Connor T, Davies FB, Eilers AC, Haiman
Z, Jun HD, Li M, Li Z, Liu W, Lupi A, Lyu J, Mazzucchelli C, Onoue M, Pizzati
E, Pudoka M, Rojas-Ruiz S, Schindler JT, Shen Y, Tee WL, Trakhtenbrot B, Trebitsch
M, Vestergaard M, Volonteri M, Walter F, Zhang H, Zou S. 2026. ASPIRE: The environments
and dark matter halos of luminous quasars in the epoch of reionization. Astrophysical
Journal. 1006(1), 39.'
mla: 'Wang, Feige, et al. “ASPIRE: The Environments and Dark Matter Halos of Luminous
Quasars in the Epoch of Reionization.” Astrophysical Journal, vol. 1006,
no. 1, 39, IOP Publishing, 2026, doi:10.3847/1538-4357/ae7bfa.'
short: F. Wang, J.B. Champagne, J. Huang, J. Yang, J.F. Hennawi, X. Fan, H. Zhang,
T. Costa, R. Decarli, M. Habouzit, F. Sun, E. Bañados, X. Jin, K. Kakiichi, R.A.
Meyer, Y. Wu, S. Belladitta, L. Blecha, S.E.I. Bosman, Z. Cai, T. Connor, F.B.
Davies, A.C. Eilers, Z. Haiman, H.D. Jun, M. Li, Z. Li, W. Liu, A. Lupi, J. Lyu,
C. Mazzucchelli, M. Onoue, E. Pizzati, M. Pudoka, S. Rojas-Ruiz, J.T. Schindler,
Y. Shen, W.L. Tee, B. Trakhtenbrot, M. Trebitsch, M. Vestergaard, M. Volonteri,
F. Walter, H. Zhang, S. Zou, Astrophysical Journal 1006 (2026).
das_tickbox: '1'
dataavailabilitystatement: "This paper makes use of the following ALMA data: ADS/JAO.ALMA#2022.1.01077.L.
ALMA is a partnership of ESO (representing its member states), NSF (USA) and NINS
(Japan), together with NRC (Canada), MOST and ASIAA (Taiwan), and KASI (Republic
of Korea), in cooperation with the Republic of Chile. The Joint ALMA Observatory
is operated by ESO, AUI/NRAO and NAOJ. The National Radio Astronomy Observatory
is a facility of the National Science Foundation operated under cooperative agreement
by Associated Universities, Inc.\r\n\r\nFacility: JWST - James Webb Space Telescope
(NIRCam).\r\n\r\nSoftware: astropy (Astropy Collaboration et al. 2018), Matplotlib
(J. D. Hunter 2007), Numpy (C. R. Harris et al. 2020), Photutils (L. Bradley et
al. 2022), Scipy (P. Virtanen et al. 2020), Source Extractor (E. Bertin & S. Arnouts
1996)."
date_created: 2026-07-19T22:01:46Z
date_published: 2026-07-20T00:00:00Z
date_updated: 2026-07-20T13:31:18Z
day: '20'
ddc:
- '520'
department:
- _id: ZoHa
doi: 10.3847/1538-4357/ae7bfa
external_id:
arxiv:
- '2602.04979'
file:
- access_level: open_access
checksum: dd561fc00841217c227687e42d499ff0
content_type: application/pdf
creator: dernst
date_created: 2026-07-20T13:19:42Z
date_updated: 2026-07-20T13:19:42Z
file_id: '22377'
file_name: 2026_AstrophysicalJour_Wang.pdf
file_size: 6884305
relation: main_file
success: 1
file_date_updated: 2026-07-20T13:19:42Z
fulldoi: https://doi.org/10.3847/1538-4357/ae7bfa
has_accepted_license: '1'
intvolume: ' 1006'
issue: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: Astrophysical Journal
publication_identifier:
eissn:
- '15384357'
issn:
- 0004637X
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: 'ASPIRE: The environments and dark matter halos of luminous quasars in the
epoch of reionization'
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: 1006
year: '2026'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '22364'
abstract:
- lang: eng
text: Finding the first generation of (Population III or Pop III) stars is one of
the most ambitious and exciting challenges of astrophysics. JWST opened concrete
prospects for their detection during the Epoch of Reionization, where increasing
evidence suggests that residual Pop III formation may persist, even within pristine
pockets of high-mass halos, due to inhomogeneous enrichment. However, the identification
of Pop III stars within globally enriched environments will be challenging. We
investigate the detectability of a subdominant Pop III component in/around massive
(M⋆ ≳ 10^9 M⊙) galaxies at z ≈ 6.5–9 from the dustyGadget cosmological simulation
suite, and the confusion arising from second-generation (Pop II) stars in their
surroundings. We find that young (≲1 Myr), massive (MIII ∼ 6 × 10^5 M⊙) Pop III
clusters forming within these galaxy environments are responsible for strong HeII1640
line emission (LHeII1640 ≳ 10^41 erg ^s−1), which would be detectable with ≈10(50)
hr of medium-resolution observations with NIRSpec/IFU at z ≈ 6(10). These bright
luminosities cannot be produced by standard Pop II populations alone. On the other
hand, the dominant Pop II component within massive “hybrid” Pop III hosts powers
strong metal line emission (L[OIII]5007 ≳ 10^42 erg s^−1), indicating that the
detection of metal lines alone cannot exclude the presence of Pop IIIs in high-z
galaxy environments. We further discuss candidate selection strategies based on
Lyα, Hα, and Hβ emission, and how spatially resolved observations may enable the
detection of isolated, pristine pockets in the outskirts of massive halos.
acknowledgement: We thank Elka Rusta and Stefania Salvadori for providing predictions
of the He II line luminosities from the NEFERTITI model. A.V. acknowledges funding
from the Cosmic Frontier Center and the University of Texas at Austin’s College
of Natural Sciences. A.V., L.G., and R.S. acknowledge support from the PRIN 2022
MUR project 2022CB3PJ3—First Light And Galaxy aSsembly (FLAGS) funded by the European
Union—Next Generation EU. J.B.M. was supported by NSF Grants AST-2307354 and AST-2408637,
and by the NSF-Simons AI Institute for Cosmic Origins. This research was also supported
in part by grant NSF PHY-2309135 to the Kavli Institute for Theoretical Physics
(KITP). R.V. acknowledges support from PRIN MUR “2022935STW” funded by European
Union-Next Generation EU, Missione 4 Componente 2 CUP C53D23000950006 and from Bando
Ricerca Fondamentale INAF 2023, Theory Grant “Theoretical models for Black Holes
Archaeology." C.D.C. acknowledges support from the European Union (ERC, AGENTS,
101076224).
article_number: '226'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Alessandra
full_name: Venditti, Alessandra
last_name: Venditti
- first_name: Luca
full_name: Graziani, Luca
last_name: Graziani
- first_name: Raffaella
full_name: Schneider, Raffaella
last_name: Schneider
- first_name: Volker
full_name: Bromm, Volker
last_name: Bromm
- first_name: Julian B.
full_name: Muñoz, Julian B.
last_name: Muñoz
- first_name: Claudia
full_name: Di Cesare, Claudia
id: 2d002343-372f-11ef-98ec-a164d20427cb
last_name: Di Cesare
- first_name: Rosa
full_name: Valiante, Rosa
last_name: Valiante
- first_name: Antonello
full_name: Calabrò, Antonello
last_name: Calabrò
- first_name: Roberto
full_name: Maiolino, Roberto
last_name: Maiolino
- first_name: Steven L.
full_name: Finkelstein, Steven L.
last_name: Finkelstein
- first_name: Massimiliano
full_name: Parente, Massimiliano
last_name: Parente
- first_name: Matteo
full_name: Saggini, Matteo
last_name: Saggini
- first_name: John
full_name: Chisholm, John
last_name: Chisholm
citation:
ama: 'Venditti A, Graziani L, Schneider R, et al. Catching the nebular needle in
a polluted haystack: Line-emission signatures from population III-forming pockets
around massive galaxies at the end of reionization. The Astrophysical Journal.
2026;1005(2). doi:10.3847/1538-4357/ae7b2c'
apa: 'Venditti, A., Graziani, L., Schneider, R., Bromm, V., Muñoz, J. B., Di Cesare,
C., … Chisholm, J. (2026). Catching the nebular needle in a polluted haystack:
Line-emission signatures from population III-forming pockets around massive galaxies
at the end of reionization. The Astrophysical Journal. IOP Publishing.
https://doi.org/10.3847/1538-4357/ae7b2c'
chicago: 'Venditti, Alessandra, Luca Graziani, Raffaella Schneider, Volker Bromm,
Julian B. Muñoz, Claudia Di Cesare, Rosa Valiante, et al. “Catching the Nebular
Needle in a Polluted Haystack: Line-Emission Signatures from Population III-Forming
Pockets around Massive Galaxies at the End of Reionization.” The Astrophysical
Journal. IOP Publishing, 2026. https://doi.org/10.3847/1538-4357/ae7b2c.'
ieee: 'A. Venditti et al., “Catching the nebular needle in a polluted haystack:
Line-emission signatures from population III-forming pockets around massive galaxies
at the end of reionization,” The Astrophysical Journal, vol. 1005, no.
2. IOP Publishing, 2026.'
ista: 'Venditti A, Graziani L, Schneider R, Bromm V, Muñoz JB, Di Cesare C, Valiante
R, Calabrò A, Maiolino R, Finkelstein SL, Parente M, Saggini M, Chisholm J. 2026.
Catching the nebular needle in a polluted haystack: Line-emission signatures from
population III-forming pockets around massive galaxies at the end of reionization.
The Astrophysical Journal. 1005(2), 226.'
mla: 'Venditti, Alessandra, et al. “Catching the Nebular Needle in a Polluted Haystack:
Line-Emission Signatures from Population III-Forming Pockets around Massive Galaxies
at the End of Reionization.” The Astrophysical Journal, vol. 1005, no.
2, 226, IOP Publishing, 2026, doi:10.3847/1538-4357/ae7b2c.'
short: A. Venditti, L. Graziani, R. Schneider, V. Bromm, J.B. Muñoz, C. Di Cesare,
R. Valiante, A. Calabrò, R. Maiolino, S.L. Finkelstein, M. Parente, M. Saggini,
J. Chisholm, The Astrophysical Journal 1005 (2026).
das_tickbox: '1'
dataavailabilitystatement: 'Software: dustyGadget (L. Graziani et al. 2020), BPASSv2.2.134
(J. J. Eldridge et al. 2017; E. R. Stanway & J. J. Eldridge 2018), Yggdrasil35 (E.
Zackrisson et al. 2011), Cloudy22.0136 (G. J. Ferland et al. 2017), NumPy37 (S.
van der Walt et al. 2011; C. R. Harris et al. 2020), matplotlib38 (J. D. Hunter
2007), SciPy39 (Jones et al. 2001; P. Virtanen et al. 2020).'
date_created: 2026-07-19T22:01:46Z
date_published: 2026-07-10T00:00:00Z
date_updated: 2026-07-20T13:07:08Z
day: '10'
ddc:
- '520'
department:
- _id: JoMa
doi: 10.3847/1538-4357/ae7b2c
external_id:
arxiv:
- '2603.27582'
file:
- access_level: open_access
checksum: e783c9c10cf773482ac2f3b340ad130b
content_type: application/pdf
creator: dernst
date_created: 2026-07-20T13:05:27Z
date_updated: 2026-07-20T13:05:27Z
file_id: '22375'
file_name: 2026_AstrophysicalJour_Venditti.pdf
file_size: 2267572
relation: main_file
success: 1
file_date_updated: 2026-07-20T13:05:27Z
fulldoi: https://doi.org/10.3847/1538-4357/ae7b2c
has_accepted_license: '1'
intvolume: ' 1005'
issue: '2'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: bd9b2118-d553-11ed-ba76-db24564edfea
grant_number: '101076224'
name: Young galaxies as tracers and agents of cosmic reionization
publication: The Astrophysical Journal
publication_identifier:
eissn:
- 1538-4357
issn:
- 0004-637X
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: 'Catching the nebular needle in a polluted haystack: Line-emission signatures
from population III-forming pockets around massive galaxies at the end of reionization'
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: 1005
year: '2026'
...
---
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '22369'
abstract:
- lang: eng
text: The high-redshift progenitors of present-day galaxy clusters are believed
to substantially contribute to the global star formation rate density and drive
the large-scale reionisation of the Universe. Here we present a blind and unbiased
search for and characterisation of galaxy overdensities during the reionisation
epoch at redshifts z ∼ 5.5 − 7 based on rest-frame optical JWST/NIRCam grism spectroscopy
of the Abell 2744 lensing field as part of the JWST All the Little Things (ALT)
survey. Using a physically motivated, cosmological inference friends-of-friends
(FoF) algorithm, we identified six galaxy overdensities, including five robust
systems at z = 5.66–6.77. They are all characterised by total halo masses of Mhalo ≳ 1011 M⊙,
inferred from a range of proxies. We find that the galaxy members in these overdense
environments are on average less massive though equally metal-rich, and generally
comprised of younger stellar populations, as indicated by their bluer spectral
slopes and less prominent Balmer breaks compared to field galaxies at similar
redshifts. Further, we use this novel rest-frame optical selection of galaxy proto-clusters
to infer the fraction and 3D distribution of strong Lyman-α emitters (LAEs) and
damped Lyman-α absorbers (DLAs) in the overdensity environments. We find that
two out of the six galaxy overdensities have excess H I absorption compared to
the field average, while the other four are consistent within their large scatter
in density. These results present the first direct observational constraints on
the tomography of the dense, neutral gas reservoirs in large-scale galaxy overdensities
at z > 5 and highlight the limitations of pre-JWST searches for reionisation-era
galaxy overdensities relying on the detection of strong LAEs alone.
acknowledgement: 'We would like to thank the anonymous referee for their positive
and constructive report and all the observers world-wide for their substantial effort
in securing all the public JWST data that were essential for this work. The Cosmic
Dawn Center (DAWN) is funded by the Danish National Research Foundation under grant
DNRF140. KEH acknowledges support from the Independent Research Fund Denmark (DFF)
under grant 5251-00009B and co-funding by the European Union (ERC, HEAVYMETAL, 101071865).
Views and opinions expressed are, however, those of the authors only and do not
necessarily reflect those of the European Union or the European Research Council.
Neither the European Union nor the granting authority can be held responsible for
them. This work is based in part on observations made with the NASA/ESA/CSA James
Webb Space Telescope. The data were obtained from the Mikulski Archive for Space
Telescopes (MAST) 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. We used the following software for this work: Python, and
the scientific Python ecosystem, in particular NumPy (Harris et al. 2020), SciPy
(including cKDTree) (Virtanen et al. 2021), Matplotlib (Hunter 2007), and Astropy
(Astropy Collaboration 2013, 2018, 2022).'
article_number: A290
article_processing_charge: No
article_type: original
author:
- first_name: Chamilla
full_name: Terp, Chamilla
last_name: Terp
- first_name: Kasper E.
full_name: Heintz, Kasper E.
last_name: Heintz
- 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: Rohan P.
full_name: Naidu, Rohan P.
last_name: Naidu
- first_name: Pascal A.
full_name: Oesch, Pascal A.
last_name: Oesch
- first_name: Callum
full_name: Witten, Callum
last_name: Witten
- first_name: Daichi
full_name: Kashino, Daichi
last_name: Kashino
- first_name: Clara L.
full_name: Pollock, Clara L.
last_name: Pollock
- first_name: Claudia
full_name: Di Cesare, Claudia
id: 2d002343-372f-11ef-98ec-a164d20427cb
last_name: Di Cesare
- first_name: Alberto
full_name: Torralba Torregrosa, Alberto
id: 018f0249-0e87-11f0-b167-cbce08fbd541
last_name: Torralba Torregrosa
orcid: 0000-0001-5586-6950
citation:
ama: 'Terp C, Heintz KE, Matthee JJ, et al. All the massive galaxy overdensities
during reionisation: JWST rest-frame optical selection reveals young, chemically
evolved galaxies embedded in dense, neutral gas at z > 5. Astronomy &
Astrophysics. 2026;710. doi:10.1051/0004-6361/202659436'
apa: 'Terp, C., Heintz, K. E., Matthee, J. J., Naidu, R. P., Oesch, P. A., Witten,
C., … Torralba Torregrosa, A. (2026). All the massive galaxy overdensities during
reionisation: JWST rest-frame optical selection reveals young, chemically evolved
galaxies embedded in dense, neutral gas at z > 5. Astronomy & Astrophysics.
EDP Sciences. https://doi.org/10.1051/0004-6361/202659436'
chicago: 'Terp, Chamilla, Kasper E. Heintz, Jorryt J Matthee, Rohan P. Naidu, Pascal
A. Oesch, Callum Witten, Daichi Kashino, Clara L. Pollock, Claudia Di Cesare,
and Alberto Torralba Torregrosa. “All the Massive Galaxy Overdensities during
Reionisation: JWST Rest-Frame Optical Selection Reveals Young, Chemically Evolved
Galaxies Embedded in Dense, Neutral Gas at z > 5.” Astronomy & Astrophysics.
EDP Sciences, 2026. https://doi.org/10.1051/0004-6361/202659436.'
ieee: 'C. Terp et al., “All the massive galaxy overdensities during reionisation:
JWST rest-frame optical selection reveals young, chemically evolved galaxies embedded
in dense, neutral gas at z > 5,” Astronomy & Astrophysics, vol.
710. EDP Sciences, 2026.'
ista: 'Terp C, Heintz KE, Matthee JJ, Naidu RP, Oesch PA, Witten C, Kashino D, Pollock
CL, Di Cesare C, Torralba Torregrosa A. 2026. All the massive galaxy overdensities
during reionisation: JWST rest-frame optical selection reveals young, chemically
evolved galaxies embedded in dense, neutral gas at z > 5. Astronomy &
Astrophysics. 710, A290.'
mla: 'Terp, Chamilla, et al. “All the Massive Galaxy Overdensities during Reionisation:
JWST Rest-Frame Optical Selection Reveals Young, Chemically Evolved Galaxies Embedded
in Dense, Neutral Gas at z > 5.” Astronomy & Astrophysics, vol.
710, A290, EDP Sciences, 2026, doi:10.1051/0004-6361/202659436.'
short: C. Terp, K.E. Heintz, J.J. Matthee, R.P. Naidu, P.A. Oesch, C. Witten, D.
Kashino, C.L. Pollock, C. Di Cesare, A. Torralba Torregrosa, Astronomy & Astrophysics
710 (2026).
das_tickbox: '1'
dataavailabilitystatement: The specific observations analysed in this work can be
accessed via https://doi.org/10.5281/zenodo.13871850
date_created: 2026-07-19T22:01:47Z
date_published: 2026-06-01T00:00:00Z
date_updated: 2026-07-20T13:42:20Z
day: '01'
ddc:
- '520'
department:
- _id: JoMa
doi: 10.1051/0004-6361/202659436
file:
- access_level: open_access
checksum: 0a63db666cfac8e4e6271b75419a26f2
content_type: application/pdf
creator: dernst
date_created: 2026-07-20T13:41:19Z
date_updated: 2026-07-20T13:41:19Z
file_id: '22378'
file_name: 2026_AstronomyAstrophysics_Terp.pdf
file_size: 6156048
relation: main_file
success: 1
file_date_updated: 2026-07-20T13:41:19Z
fulldoi: https://doi.org/10.1051/0004-6361/202659436
has_accepted_license: '1'
intvolume: ' 710'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Astronomy & Astrophysics
publication_identifier:
eissn:
- 1432-0746
issn:
- 0004-6361
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
researchdata_availability: yes
scopus_import: '1'
status: public
supplementarymaterial: yes
title: 'All the massive galaxy overdensities during reionisation: JWST rest-frame
optical selection reveals young, chemically evolved galaxies embedded in dense,
neutral gas at z > 5'
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: 710
year: '2026'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '22361'
abstract:
- lang: eng
text: Causal optimal transport and adapted Wasserstein distance have applications
in different fields from optimization to mathematical finance and machine learning.
The goal of this article is to provide equivalent formulations of these concepts
in classic probabilistic language. In particular, we prove a Skorokhod representation
theorem for adapted weak convergence, reformulate the equivalence of stochastic
processes using Markovian lifts, and give an expression for the adapted Wasserstein
distance based on representing processes on a common stochastic basis.
acknowledgement: 'This research was funded in whole or in part by the Austrian Science
Fund (FWF) [doi: 10.55776/P34743, 10.55776/Y782, 10.55776/P35197 and 10.55776/J4981].
For open access purposes, the author has applied a CC BY public copyright license
to any author accepted manuscript version arising from this submission.'
article_number: '105032'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Mathias
full_name: Beiglböck, Mathias
last_name: Beiglböck
- first_name: Susanne
full_name: Pflügl, Susanne
id: 8da18bd3-8437-11f1-a311-c814b8b76424
last_name: Pflügl
- first_name: Stefan
full_name: Schrott, Stefan
last_name: Schrott
citation:
ama: Beiglböck M, Pflügl S, Schrott S. A probabilistic view on the adapted Wasserstein
distance. Stochastic Processes and their Applications. 2026;201. doi:10.1016/j.spa.2026.105032
apa: Beiglböck, M., Pflügl, S., & Schrott, S. (2026). A probabilistic view on
the adapted Wasserstein distance. Stochastic Processes and Their Applications.
Elsevier. https://doi.org/10.1016/j.spa.2026.105032
chicago: Beiglböck, Mathias, Susanne Pflügl, and Stefan Schrott. “A Probabilistic
View on the Adapted Wasserstein Distance.” Stochastic Processes and Their Applications.
Elsevier, 2026. https://doi.org/10.1016/j.spa.2026.105032.
ieee: M. Beiglböck, S. Pflügl, and S. Schrott, “A probabilistic view on the adapted
Wasserstein distance,” Stochastic Processes and their Applications, vol.
201. Elsevier, 2026.
ista: Beiglböck M, Pflügl S, Schrott S. 2026. A probabilistic view on the adapted
Wasserstein distance. Stochastic Processes and their Applications. 201, 105032.
mla: Beiglböck, Mathias, et al. “A Probabilistic View on the Adapted Wasserstein
Distance.” Stochastic Processes and Their Applications, vol. 201, 105032,
Elsevier, 2026, doi:10.1016/j.spa.2026.105032.
short: M. Beiglböck, S. Pflügl, S. Schrott, Stochastic Processes and Their Applications
201 (2026).
das_tickbox: '1'
date_created: 2026-07-19T22:01:45Z
date_published: 2026-07-10T00:00:00Z
date_updated: 2026-07-20T12:46:53Z
day: '10'
ddc:
- '500'
department:
- _id: JaMa
doi: 10.1016/j.spa.2026.105032
external_id:
arxiv:
- '2406.19810'
fulldoi: https://doi.org/10.1016/j.spa.2026.105032
has_accepted_license: '1'
intvolume: ' 201'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1016/j.spa.2026.105032
month: '07'
oa: 1
oa_version: Published Version
publication: Stochastic Processes and their Applications
publication_identifier:
issn:
- 0304-4149
publication_status: epub_ahead
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: A probabilistic view on the adapted Wasserstein distance
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: 201
year: '2026'
...