---
_id: '11775'
abstract:
- lang: eng
  text: 'Quantitative monitoring can be universal and approximate: For every finite
    sequence of observations, the specification provides a value and the monitor outputs
    a best-effort approximation of it. The quality of the approximation may depend
    on the resources that are available to the monitor. By taking to the limit the
    sequences of specification values and monitor outputs, we obtain precision-resource
    trade-offs also for limit monitoring. This paper provides a formal framework for
    studying such trade-offs using an abstract interpretation for monitors: For each
    natural number n, the aggregate semantics of a monitor at time n is an equivalence
    relation over all sequences of at most n observations so that two equivalent sequences
    are indistinguishable to the monitor and thus mapped to the same output. This
    abstract interpretation of quantitative monitors allows us to measure the number
    of equivalence classes (or “resource use”) that is necessary for a certain precision
    up to a certain time, or at any time. Our framework offers several insights. For
    example, we identify a family of specifications for which any resource-optimal
    exact limit monitor is independent of any error permitted over finite traces.
    Moreover, we present a specification for which any resource-optimal approximate
    limit monitor does not minimize its resource use at any time. '
acknowledgement: We thank the anonymous reviewers for their helpful comments. This
  work was supported in part by the ERC-2020-AdG 101020093.
alternative_title:
- LNCS
article_processing_charge: Yes
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Nicolas Adrien
  full_name: Mazzocchi, Nicolas Adrien
  id: b26baa86-3308-11ec-87b0-8990f34baa85
  last_name: Mazzocchi
- first_name: Naci E
  full_name: Sarac, Naci E
  id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425
  last_name: Sarac
citation:
  ama: 'Henzinger TA, Mazzocchi NA, Sarac NE. Abstract monitors for quantitative specifications.
    In: <i>22nd International Conference on Runtime Verification</i>. Vol 13498. Springer
    Nature; 2022:200-220. doi:<a href="https://doi.org/10.1007/978-3-031-17196-3_11">10.1007/978-3-031-17196-3_11</a>'
  apa: 'Henzinger, T. A., Mazzocchi, N. A., &#38; Sarac, N. E. (2022). Abstract monitors
    for quantitative specifications. In <i>22nd International Conference on Runtime
    Verification</i> (Vol. 13498, pp. 200–220). Tbilisi, Georgia: Springer Nature.
    <a href="https://doi.org/10.1007/978-3-031-17196-3_11">https://doi.org/10.1007/978-3-031-17196-3_11</a>'
  chicago: Henzinger, Thomas A, Nicolas Adrien Mazzocchi, and Naci E Sarac. “Abstract
    Monitors for Quantitative Specifications.” In <i>22nd International Conference
    on Runtime Verification</i>, 13498:200–220. Springer Nature, 2022. <a href="https://doi.org/10.1007/978-3-031-17196-3_11">https://doi.org/10.1007/978-3-031-17196-3_11</a>.
  ieee: T. A. Henzinger, N. A. Mazzocchi, and N. E. Sarac, “Abstract monitors for
    quantitative specifications,” in <i>22nd International Conference on Runtime Verification</i>,
    Tbilisi, Georgia, 2022, vol. 13498, pp. 200–220.
  ista: 'Henzinger TA, Mazzocchi NA, Sarac NE. 2022. Abstract monitors for quantitative
    specifications. 22nd International Conference on Runtime Verification. RV: Runtime
    Verification, LNCS, vol. 13498, 200–220.'
  mla: Henzinger, Thomas A., et al. “Abstract Monitors for Quantitative Specifications.”
    <i>22nd International Conference on Runtime Verification</i>, vol. 13498, Springer
    Nature, 2022, pp. 200–20, doi:<a href="https://doi.org/10.1007/978-3-031-17196-3_11">10.1007/978-3-031-17196-3_11</a>.
  short: T.A. Henzinger, N.A. Mazzocchi, N.E. Sarac, in:, 22nd International Conference
    on Runtime Verification, Springer Nature, 2022, pp. 200–220.
conference:
  end_date: 2022-09-30
  location: Tbilisi, Georgia
  name: 'RV: Runtime Verification'
  start_date: 2022-09-28
corr_author: '1'
date_created: 2022-08-08T17:09:09Z
date_published: 2022-09-23T00:00:00Z
date_updated: 2026-07-27T12:48:18Z
day: '23'
ddc:
- '000'
department:
- _id: GradSch
- _id: ToHe
doi: 10.1007/978-3-031-17196-3_11
ec_funded: 1
external_id:
  isi:
  - '000866539700011'
file:
- access_level: open_access
  checksum: 05c7dcfbb9053a98f46441fb2eccb213
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T07:34:50Z
  date_updated: 2023-01-20T07:34:50Z
  file_id: '12317'
  file_name: 2022_LNCS_RV_Henzinger.pdf
  file_size: 477110
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T07:34:50Z
has_accepted_license: '1'
intvolume: '     13498'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 200-220
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 22nd International Conference on Runtime Verification
publication_identifier:
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '20147'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Abstract monitors for quantitative specifications
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: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 13498
year: '2022'
...
---
_id: '12101'
abstract:
- lang: eng
  text: 'Spatial games form a widely-studied class of games from biology and physics
    modeling the evolution of social behavior. Formally, such a game is defined by
    a square (d by d) payoff matrix M and an undirected graph G. Each vertex of G
    represents an individual, that initially follows some strategy i ∈ {1,2,…,d}.
    In each round of the game, every individual plays the matrix game with each of
    its neighbors: An individual following strategy i meeting a neighbor following
    strategy j receives a payoff equal to the entry (i,j) of M. Then, each individual
    updates its strategy to its neighbors'' strategy with the highest sum of payoffs,
    and the next round starts. The basic computational problems consist of reachability
    between configurations and the average frequency of a strategy. For general spatial
    games and graphs, these problems are in PSPACE. In this paper, we examine restricted
    setting: the game is a prisoner’s dilemma; and G is a subgraph of grid. We prove
    that basic computational problems for spatial games with prisoner’s dilemma on
    a subgraph of a grid are PSPACE-hard.'
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
  ERC CoG 863818\r\n(ForM-SMArt).\r\nIsmaël Jecker: The research was partially supported
  by the ERC grant 950398 (INFSYS).\r\nJakub Svoboda: The research was partially supported
  by the ERC CoG 863818 (ForM-SMArt)"
article_number: 11:1-11:14
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Complexity of spatial
    games. In: <i>42nd IARCS Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science</i>. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2022. doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">10.4230/LIPIcs.FSTTCS.2022.11</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., &#38; Svoboda, J. (2022).
    Complexity of spatial games. In <i>42nd IARCS Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science</i> (Vol. 250). Madras,
    India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11</a>'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
    Svoboda. “Complexity of Spatial Games.” In <i>42nd IARCS Annual Conference on
    Foundations of Software Technology and Theoretical Computer Science</i>, Vol.
    250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Complexity
    of spatial games,” in <i>42nd IARCS Annual Conference on Foundations of Software
    Technology and Theoretical Computer Science</i>, Madras, India, 2022, vol. 250.
  ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2022. Complexity of spatial
    games. 42nd IARCS Annual Conference on Foundations of Software Technology and
    Theoretical Computer Science. FSTTCS: Foundations of Software Technology and Theoretical
    Computer Science vol. 250, 11:1-11:14.'
  mla: Chatterjee, Krishnendu, et al. “Complexity of Spatial Games.” <i>42nd IARCS
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science</i>, vol. 250, 11:1-11:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022, doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">10.4230/LIPIcs.FSTTCS.2022.11</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 42nd IARCS
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
conference:
  end_date: 2022-12-20
  location: Madras, India
  name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
  start_date: 2022-12-18
corr_author: '1'
date_created: 2023-01-01T23:00:50Z
date_published: 2022-12-14T00:00:00Z
date_updated: 2026-07-27T12:52:03Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2022.11
ec_funded: 1
file:
- access_level: open_access
  checksum: a21e3ba2421e2c4a06aa2cb6d530ede1
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T10:19:19Z
  date_updated: 2023-01-20T10:19:19Z
  file_id: '12323'
  file_name: 2022_LIPICs_Chatterjee.pdf
  file_size: 657396
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T10:19:19Z
has_accepted_license: '1'
intvolume: '       250'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 42nd IARCS Annual Conference on Foundations of Software Technology and
  Theoretical Computer Science
publication_identifier:
  isbn:
  - '9783959772617'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
  record:
  - id: '20138'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Complexity of spatial games
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: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 250
year: '2022'
...
---
_id: '12257'
abstract:
- lang: eng
  text: Structural balance theory is an established framework for studying social
    relationships of friendship and enmity. These relationships are modeled by a signed
    network whose energy potential measures the level of imbalance, while stochastic
    dynamics drives the network toward a state of minimum energy that captures social
    balance. It is known that this energy landscape has local minima that can trap
    socially aware dynamics, preventing it from reaching balance. Here we first study
    the robustness and attractor properties of these local minima. We show that a
    stochastic process can reach them from an abundance of initial states and that
    some local minima cannot be escaped by mild perturbations of the network. Motivated
    by these anomalies, we introduce best-edge dynamics (BED), a new plausible stochastic
    process. We prove that BED always reaches balance and that it does so fast in
    various interesting settings.
acknowledgement: "K.C. acknowledges support from ERC Start Grant No. (279307: Graph
  Games), ERC Consolidator Grant No. (863818: ForM-SMart), and Austrian Science Fund
  (FWF)\r\nGrants No. P23499-N23 and No. S11407-N23 (RiSE). This project has received
  funding from the European Union’s Horizon 2020 research and innovation programme
  under the Marie\r\nSkłodowska-Curie Grant Agreement No. 665385."
article_number: '034321'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
- first_name: Andreas
  full_name: Pavlogiannis, Andreas
  id: 49704004-F248-11E8-B48F-1D18A9856A87
  last_name: Pavlogiannis
  orcid: 0000-0002-8943-0722
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
citation:
  ama: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. Social balance
    on networks: Local minima and best-edge dynamics. <i>Physical Review E</i>. 2022;106(3).
    doi:<a href="https://doi.org/10.1103/physreve.106.034321">10.1103/physreve.106.034321</a>'
  apa: 'Chatterjee, K., Svoboda, J., Zikelic, D., Pavlogiannis, A., &#38; Tkadlec,
    J. (2022). Social balance on networks: Local minima and best-edge dynamics. <i>Physical
    Review E</i>. American Physical Society. <a href="https://doi.org/10.1103/physreve.106.034321">https://doi.org/10.1103/physreve.106.034321</a>'
  chicago: 'Chatterjee, Krishnendu, Jakub Svoboda, Dorde Zikelic, Andreas Pavlogiannis,
    and Josef Tkadlec. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.”
    <i>Physical Review E</i>. American Physical Society, 2022. <a href="https://doi.org/10.1103/physreve.106.034321">https://doi.org/10.1103/physreve.106.034321</a>.'
  ieee: 'K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, and J. Tkadlec, “Social
    balance on networks: Local minima and best-edge dynamics,” <i>Physical Review
    E</i>, vol. 106, no. 3. American Physical Society, 2022.'
  ista: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. 2022. Social
    balance on networks: Local minima and best-edge dynamics. Physical Review E. 106(3),
    034321.'
  mla: 'Chatterjee, Krishnendu, et al. “Social Balance on Networks: Local Minima and
    Best-Edge Dynamics.” <i>Physical Review E</i>, vol. 106, no. 3, 034321, American
    Physical Society, 2022, doi:<a href="https://doi.org/10.1103/physreve.106.034321">10.1103/physreve.106.034321</a>.'
  short: K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, J. Tkadlec, Physical
    Review E 106 (2022).
date_created: 2023-01-16T09:57:57Z
date_published: 2022-09-29T00:00:00Z
date_updated: 2026-07-27T12:52:03Z
day: '29'
department:
- _id: KrCh
doi: 10.1103/physreve.106.034321
ec_funded: 1
external_id:
  arxiv:
  - '2210.02394'
  isi:
  - '000870243100001'
intvolume: '       106'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2210.02394
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: Physical Review E
publication_identifier:
  eissn:
  - 2470-0053
  issn:
  - 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '20138'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Social balance on networks: Local minima and best-edge dynamics'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
OA_type: free access
_id: '10583'
abstract:
- lang: eng
  text: The synthetic strigolactone (SL) analog, rac-GR24, has been instrumental in
    studying the role of SLs as well as karrikins because it activates the receptors
    DWARF14 (D14) and KARRIKIN INSENSITIVE 2 (KAI2) of their signaling pathways, respectively.
    Treatment with rac-GR24 modifies the root architecture at different levels, such
    as decreasing the lateral root density (LRD), while promoting root hair elongation
    or flavonol accumulation. Previously, we have shown that the flavonol biosynthesis
    is transcriptionally activated in the root by rac-GR24 treatment, but, thus far,
    the molecular players involved in that response have remained unknown. To get
    an in-depth insight into the changes that occur after the compound is perceived
    by the roots, we compared the root transcriptomes of the wild type and the more
    axillary growth2 (max2) mutant, affected in both SL and karrikin signaling pathways,
    with and without rac-GR24 treatment. Quantitative reverse transcription (qRT)-PCR,
    reporter line analysis and mutant phenotyping indicated that the flavonol response
    and the root hair elongation are controlled by the ELONGATED HYPOCOTYL 5 (HY5)
    and MYB12 transcription factors, but HY5, in contrast to MYB12, affects the LRD
    as well. Furthermore, we identified the transcription factors TARGET OF MONOPTEROS
    5 (TMO5) and TMO5 LIKE1 as negative and the Mediator complex as positive regulators
    of the rac-GR24 effect on LRD. Altogether, hereby, we get closer toward understanding
    the molecular mechanisms that underlay the rac-GR24 responses in the root.
acknowledgement: The authors thank Ralf Stracke (Bielefeld University, Bielefeld,
  Germany) for providing the myb mutants and their colleagues Bert De Rybel for the
  tmo5t;mo5l1 double mutant, Boris Parizot for tips on the RNA-seq analysis, Veronique
  Storme for statistical help on both the RNA-seq and lateral root density, and Martine
  De Cock for help in preparing the manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Sylwia
  full_name: Struk, Sylwia
  last_name: Struk
- first_name: Lukas
  full_name: Braem, Lukas
  last_name: Braem
- first_name: Cedrick
  full_name: Matthys, Cedrick
  last_name: Matthys
- first_name: Alan
  full_name: Walton, Alan
  last_name: Walton
- first_name: Nick
  full_name: Vangheluwe, Nick
  last_name: Vangheluwe
- first_name: Stan
  full_name: Van Praet, Stan
  last_name: Van Praet
- first_name: Lingxiang
  full_name: Jiang, Lingxiang
  last_name: Jiang
- first_name: Pawel
  full_name: Baster, Pawel
  id: 3028BD74-F248-11E8-B48F-1D18A9856A87
  last_name: Baster
- first_name: Carolien
  full_name: De Cuyper, Carolien
  last_name: De Cuyper
- first_name: Francois-Didier
  full_name: Boyer, Francois-Didier
  last_name: Boyer
- first_name: Elisabeth
  full_name: Stes, Elisabeth
  last_name: Stes
- first_name: Tom
  full_name: Beeckman, Tom
  last_name: Beeckman
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Kris
  full_name: Gevaert, Kris
  last_name: Gevaert
- first_name: Sofie
  full_name: Goormachtig, Sofie
  last_name: Goormachtig
citation:
  ama: Struk S, Braem L, Matthys C, et al. Transcriptional analysis in the Arabidopsis
    roots reveals new regulators that link rac-GR24 treatment with changes in flavonol
    accumulation, root hair elongation and lateral root density. <i>Plant &#38; Cell
    Physiology</i>. 2022;63(1):104-119. doi:<a href="https://doi.org/10.1093/pcp/pcab149">10.1093/pcp/pcab149</a>
  apa: Struk, S., Braem, L., Matthys, C., Walton, A., Vangheluwe, N., Van Praet, S.,
    … Goormachtig, S. (2022). Transcriptional analysis in the Arabidopsis roots reveals
    new regulators that link rac-GR24 treatment with changes in flavonol accumulation,
    root hair elongation and lateral root density. <i>Plant &#38; Cell Physiology</i>.
    Oxford University Press. <a href="https://doi.org/10.1093/pcp/pcab149">https://doi.org/10.1093/pcp/pcab149</a>
  chicago: Struk, Sylwia, Lukas Braem, Cedrick Matthys, Alan Walton, Nick Vangheluwe,
    Stan Van Praet, Lingxiang Jiang, et al. “Transcriptional Analysis in the Arabidopsis
    Roots Reveals New Regulators That Link Rac-GR24 Treatment with Changes in Flavonol
    Accumulation, Root Hair Elongation and Lateral Root Density.” <i>Plant &#38; Cell
    Physiology</i>. Oxford University Press, 2022. <a href="https://doi.org/10.1093/pcp/pcab149">https://doi.org/10.1093/pcp/pcab149</a>.
  ieee: S. Struk <i>et al.</i>, “Transcriptional analysis in the Arabidopsis roots
    reveals new regulators that link rac-GR24 treatment with changes in flavonol accumulation,
    root hair elongation and lateral root density,” <i>Plant &#38; Cell Physiology</i>,
    vol. 63, no. 1. Oxford University Press, pp. 104–119, 2022.
  ista: Struk S, Braem L, Matthys C, Walton A, Vangheluwe N, Van Praet S, Jiang L,
    Baster P, De Cuyper C, Boyer F-D, Stes E, Beeckman T, Friml J, Gevaert K, Goormachtig
    S. 2022. Transcriptional analysis in the Arabidopsis roots reveals new regulators
    that link rac-GR24 treatment with changes in flavonol accumulation, root hair
    elongation and lateral root density. Plant &#38; Cell Physiology. 63(1), 104–119.
  mla: Struk, Sylwia, et al. “Transcriptional Analysis in the Arabidopsis Roots Reveals
    New Regulators That Link Rac-GR24 Treatment with Changes in Flavonol Accumulation,
    Root Hair Elongation and Lateral Root Density.” <i>Plant &#38; Cell Physiology</i>,
    vol. 63, no. 1, Oxford University Press, 2022, pp. 104–19, doi:<a href="https://doi.org/10.1093/pcp/pcab149">10.1093/pcp/pcab149</a>.
  short: S. Struk, L. Braem, C. Matthys, A. Walton, N. Vangheluwe, S. Van Praet, L.
    Jiang, P. Baster, C. De Cuyper, F.-D. Boyer, E. Stes, T. Beeckman, J. Friml, K.
    Gevaert, S. Goormachtig, Plant &#38; Cell Physiology 63 (2022) 104–119.
date_created: 2021-12-28T11:44:18Z
date_published: 2022-01-21T00:00:00Z
date_updated: 2026-07-28T12:02:02Z
day: '21'
ddc:
- '580'
department:
- _id: JiFr
doi: 10.1093/pcp/pcab149
external_id:
  isi:
  - '000877899400009'
  pmid:
  - '34791413'
intvolume: '        63'
isi: 1
issue: '1'
keyword:
- flavonols
- MAX2
- rac-Gr24
- RNA-seq
- root development
- transcriptional regulation
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1093/pcp/pcab149
month: '01'
oa: 1
oa_version: Published Version
page: 104-119
pmid: 1
publication: Plant & Cell Physiology
publication_identifier:
  eissn:
  - 1471-9053
  issn:
  - 0032-0781
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Transcriptional analysis in the Arabidopsis roots reveals new regulators that
  link rac-GR24 treatment with changes in flavonol accumulation, root hair elongation
  and lateral root density
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 63
year: '2022'
...
---
OA_place: publisher
OA_type: free access
_id: '10282'
abstract:
- lang: eng
  text: Advanced transcriptome sequencing has revealed that the majority of eukaryotic
    genes undergo alternative splicing (AS). Nonetheless, little effort has been dedicated
    to investigating the functional relevance of particular splicing events, even
    those in the key developmental and hormonal regulators. Combining approaches of
    genetics, biochemistry and advanced confocal microscopy, we describe the impact
    of alternative splicing on the PIN7 gene in the model plant Arabidopsis thaliana.
    PIN7 encodes a polarly localized transporter for the phytohormone auxin and produces
    two evolutionarily conserved transcripts, PIN7a and PIN7b. PIN7a and PIN7b, differing
    in a four amino acid stretch, exhibit almost identical expression patterns and
    subcellular localization. We reveal that they are closely associated and mutually
    influence each other's mobility within the plasma membrane. Phenotypic complementation
    tests indicate that the functional contribution of PIN7b per se is minor, but
    it markedly reduces the prominent PIN7a activity, which is required for correct
    seedling apical hook formation and auxin-mediated tropic responses. Our results
    establish alternative splicing of the PIN family as a conserved, functionally
    relevant mechanism, revealing an additional regulatory level of auxin-mediated
    plant development.
acknowledgement: We thank Claus Schwechheimer for the pin34 and pin347 seeds, Yuliia
  Mironova for technical assistance, Ksenia Timofeyenko and Dmitry Konovalov for help
  with the evolutional analysis, Konstantin Kutashev and Siarhei Dabravolski for assistance
  with FRET-FLIM, Huibin Han for advice with hypocotyl imaging, Karel Müller for the
  initial qRT-PCR on the tobacco cell lines, Stano Pekár for suggestions regarding
  the statistical analysis of the morphodynamic measurements, and Jozef Mravec, Dolf
  Weijers and Lindy Abas for their comments on the manuscript. This work was supported
  by the Czech Science Foundation (projects 16-26428S and 19-23773S to IK, MH and
  KRůžička, 19-18917S to JHumpolíčková and 18-26981S to JF), and the Ministry of Education,
  Youth and Sports of the Czech Republic (MEYS, CZ.02.1.01/0.0/0.0/16_019/0000738)
  to KRůžička and JHejátko. The imaging facilities of the Institute of Experimental
  Botany and CEITEC are supported by MEYS (LM2018129 – Czech BioImaging and CZ.02.1.01/0.0/0.0/16_013/0001775).
  The authors declare no competing interests.
article_processing_charge: No
article_type: original
author:
- first_name: Ivan
  full_name: Kashkan, Ivan
  last_name: Kashkan
- first_name: Mónika
  full_name: Hrtyan, Mónika
  id: 45A71A74-F248-11E8-B48F-1D18A9856A87
  last_name: Hrtyan
- first_name: Katarzyna
  full_name: Retzer, Katarzyna
  last_name: Retzer
- first_name: Jana
  full_name: Humpolíčková, Jana
  last_name: Humpolíčková
- first_name: Aswathy
  full_name: Jayasree, Aswathy
  last_name: Jayasree
- first_name: Roberta
  full_name: Filepová, Roberta
  last_name: Filepová
- first_name: Zuzana
  full_name: Vondráková, Zuzana
  last_name: Vondráková
- first_name: Sibu
  full_name: Simon, Sibu
  id: 4542EF9A-F248-11E8-B48F-1D18A9856A87
  last_name: Simon
  orcid: 0000-0002-1998-6741
- first_name: Debbie
  full_name: Rombaut, Debbie
  last_name: Rombaut
- first_name: Thomas B.
  full_name: Jacobs, Thomas B.
  last_name: Jacobs
- first_name: Mikko J.
  full_name: Frilander, Mikko J.
  last_name: Frilander
- first_name: Jan
  full_name: Hejátko, Jan
  last_name: Hejátko
- first_name: Jiří
  full_name: Friml, Jiří
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Jan
  full_name: Petrášek, Jan
  last_name: Petrášek
- first_name: Kamil
  full_name: Růžička, Kamil
  last_name: Růžička
biorxivid: 1
citation:
  ama: Kashkan I, Hrtyan M, Retzer K, et al. Mutually opposing activity of PIN7 splicing
    isoforms is required for auxin-mediated tropic responses in Arabidopsis thaliana.
    <i>New Phytologist</i>. 2022;233(1):329-343. doi:<a href="https://doi.org/10.1111/nph.17792">10.1111/nph.17792</a>
  apa: Kashkan, I., Hrtyan, M., Retzer, K., Humpolíčková, J., Jayasree, A., Filepová,
    R., … Růžička, K. (2022). Mutually opposing activity of PIN7 splicing isoforms
    is required for auxin-mediated tropic responses in Arabidopsis thaliana. <i>New
    Phytologist</i>. Wiley. <a href="https://doi.org/10.1111/nph.17792">https://doi.org/10.1111/nph.17792</a>
  chicago: Kashkan, Ivan, Mónika Hrtyan, Katarzyna Retzer, Jana Humpolíčková, Aswathy
    Jayasree, Roberta Filepová, Zuzana Vondráková, et al. “Mutually Opposing Activity
    of PIN7 Splicing Isoforms Is Required for Auxin-Mediated Tropic Responses in Arabidopsis
    Thaliana.” <i>New Phytologist</i>. Wiley, 2022. <a href="https://doi.org/10.1111/nph.17792">https://doi.org/10.1111/nph.17792</a>.
  ieee: I. Kashkan <i>et al.</i>, “Mutually opposing activity of PIN7 splicing isoforms
    is required for auxin-mediated tropic responses in Arabidopsis thaliana,” <i>New
    Phytologist</i>, vol. 233, no. 1. Wiley, pp. 329–343, 2022.
  ista: Kashkan I, Hrtyan M, Retzer K, Humpolíčková J, Jayasree A, Filepová R, Vondráková
    Z, Simon S, Rombaut D, Jacobs TB, Frilander MJ, Hejátko J, Friml J, Petrášek J,
    Růžička K. 2022. Mutually opposing activity of PIN7 splicing isoforms is required
    for auxin-mediated tropic responses in Arabidopsis thaliana. New Phytologist.
    233(1), 329–343.
  mla: Kashkan, Ivan, et al. “Mutually Opposing Activity of PIN7 Splicing Isoforms
    Is Required for Auxin-Mediated Tropic Responses in Arabidopsis Thaliana.” <i>New
    Phytologist</i>, vol. 233, no. 1, Wiley, 2022, pp. 329–43, doi:<a href="https://doi.org/10.1111/nph.17792">10.1111/nph.17792</a>.
  short: I. Kashkan, M. Hrtyan, K. Retzer, J. Humpolíčková, A. Jayasree, R. Filepová,
    Z. Vondráková, S. Simon, D. Rombaut, T.B. Jacobs, M.J. Frilander, J. Hejátko,
    J. Friml, J. Petrášek, K. Růžička, New Phytologist 233 (2022) 329–343.
date_created: 2021-11-14T23:01:24Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2026-07-28T12:06:20Z
day: '01'
department:
- _id: JiFr
doi: 10.1111/nph.17792
external_id:
  biorxivid:
  - 10.1101/2020.05.02.074070
  isi:
  - '000714678100001'
  pmid:
  - '34637542'
intvolume: '       233'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1111/nph.17792
month: '01'
oa: 1
oa_version: Published Version
page: 329-343
pmid: 1
publication: New Phytologist
publication_identifier:
  eissn:
  - 1469-8137
  issn:
  - 0028-646X
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mutually opposing activity of PIN7 splicing isoforms is required for auxin-mediated
  tropic responses in Arabidopsis thaliana
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 233
year: '2022'
...
---
OA_type: free access
_id: '10656'
abstract:
- lang: eng
  text: Idealized simulations of the tropical atmosphere have predicted that clouds
    can spontaneously clump together in space, despite perfectly homogeneous settings.
    This phenomenon has been called self-aggregation, and it results in a state where
    a moist cloudy region with intense deep convective storms is surrounded by extremely
    dry subsiding air devoid of deep clouds. We review here the main findings from
    theoretical work and idealized models of this phenomenon, highlighting the physical
    processes believed to play a key role in convective self-aggregation. We also
    review the growing literature on the importance and implications of this phenomenon
    for the tropical atmosphere, notably, for the hydrological cycle and for precipitation
    extremes, in our current and in a warming climate.
acknowledgement: C.M. gratefully acknowledges funding from the European Research Council
  (ERC) under the European Union's Horizon 2020 research and innovation program (Project
  CLUSTER, grant agreement 805041). She also thanks Grand Équipement National de Calcul
  Intensif (GENCI), France, for providing access to their computing platforms at Très
  Grand Centre de Calcul (TGCC). J.O.H. gratefully acknowledges funding from the Villum
  Foundation (grant 13168), the ERC under the Horizon 2020 research and innovation
  program (grant 771859), and the Novo Nordisk Foundation's Interdisciplinary Synergy
  Program (grant NNF19OC0057374). G.C. gratefully acknowledges the support of the
  transregional collaborative research center (SFB/TRR 165) “Waves to Weather” (http://www.wavestoweather.de)
  funded by the German Research Foundation (DFG). D.Y. is supported by a Packard Fellowship
  in Science and Engineering, the France–Berkeley Fund, Laboratory Directed Research
  and Development (LDRD) funding from the Lawrence Berkeley National Laboratory, and
  the US Department of Energy, Office of Science, Office of Biological and Environmental
  Research, Climate and Environmental Sciences Division, Regional and Global Climate
  Modeling Program under award DE-AC02-05CH11231.
article_processing_charge: No
article_type: original
author:
- first_name: Caroline J
  full_name: Muller, Caroline J
  id: f978ccb0-3f7f-11eb-b193-b0e2bd13182b
  last_name: Muller
  orcid: 0000-0001-5836-5350
- first_name: Da
  full_name: Yang, Da
  last_name: Yang
- first_name: George
  full_name: Craig, George
  last_name: Craig
- first_name: Timothy
  full_name: Cronin, Timothy
  last_name: Cronin
- first_name: Benjamin
  full_name: Fildier, Benjamin
  last_name: Fildier
- first_name: Jan O.
  full_name: Haerter, Jan O.
  last_name: Haerter
- first_name: Cathy
  full_name: Hohenegger, Cathy
  last_name: Hohenegger
- first_name: Brian
  full_name: Mapes, Brian
  last_name: Mapes
- first_name: David
  full_name: Randall, David
  last_name: Randall
- first_name: Sara
  full_name: Shamekh, Sara
  last_name: Shamekh
- first_name: Steven C.
  full_name: Sherwood, Steven C.
  last_name: Sherwood
citation:
  ama: Muller CJ, Yang D, Craig G, et al. Spontaneous aggregation of convective storms.
    <i>Annual Review of Fluid Mechanics</i>. 2022;54:133-157. doi:<a href="https://doi.org/10.1146/annurev-fluid-022421-011319">10.1146/annurev-fluid-022421-011319</a>
  apa: Muller, C. J., Yang, D., Craig, G., Cronin, T., Fildier, B., Haerter, J. O.,
    … Sherwood, S. C. (2022). Spontaneous aggregation of convective storms. <i>Annual
    Review of Fluid Mechanics</i>. Annual Reviews. <a href="https://doi.org/10.1146/annurev-fluid-022421-011319">https://doi.org/10.1146/annurev-fluid-022421-011319</a>
  chicago: Muller, Caroline J, Da Yang, George Craig, Timothy Cronin, Benjamin Fildier,
    Jan O. Haerter, Cathy Hohenegger, et al. “Spontaneous Aggregation of Convective
    Storms.” <i>Annual Review of Fluid Mechanics</i>. Annual Reviews, 2022. <a href="https://doi.org/10.1146/annurev-fluid-022421-011319">https://doi.org/10.1146/annurev-fluid-022421-011319</a>.
  ieee: C. J. Muller <i>et al.</i>, “Spontaneous aggregation of convective storms,”
    <i>Annual Review of Fluid Mechanics</i>, vol. 54. Annual Reviews, pp. 133–157,
    2022.
  ista: Muller CJ, Yang D, Craig G, Cronin T, Fildier B, Haerter JO, Hohenegger C,
    Mapes B, Randall D, Shamekh S, Sherwood SC. 2022. Spontaneous aggregation of convective
    storms. Annual Review of Fluid Mechanics. 54, 133–157.
  mla: Muller, Caroline J., et al. “Spontaneous Aggregation of Convective Storms.”
    <i>Annual Review of Fluid Mechanics</i>, vol. 54, Annual Reviews, 2022, pp. 133–57,
    doi:<a href="https://doi.org/10.1146/annurev-fluid-022421-011319">10.1146/annurev-fluid-022421-011319</a>.
  short: C.J. Muller, D. Yang, G. Craig, T. Cronin, B. Fildier, J.O. Haerter, C. Hohenegger,
    B. Mapes, D. Randall, S. Shamekh, S.C. Sherwood, Annual Review of Fluid Mechanics
    54 (2022) 133–157.
corr_author: '1'
date_created: 2022-01-23T23:01:29Z
date_published: 2022-01-01T00:00:00Z
date_updated: 2026-07-28T11:59:03Z
day: '01'
ddc:
- '550'
department:
- _id: CaMu
doi: 10.1146/annurev-fluid-022421-011319
ec_funded: 1
external_id:
  isi:
  - '000794152800006'
intvolume: '        54'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1146/annurev-fluid-022421-011319
month: '01'
oa: 1
oa_version: Published Version
page: 133-157
project:
- _id: 629205d8-2b32-11ec-9570-e1356ff73576
  call_identifier: H2020
  grant_number: '805041'
  name: Organization of CLoUdS, and implications of Tropical  cyclones and for the
    Energetics of the tropics, in current and waRming climate
publication: Annual Review of Fluid Mechanics
publication_identifier:
  eissn:
  - 1545-4479
  issn:
  - 0066-4189
publication_status: published
publisher: Annual Reviews
quality_controlled: '1'
scopus_import: '1'
status: public
title: Spontaneous aggregation of convective storms
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2022'
...
---
OA_type: free access
_id: '10846'
abstract:
- lang: eng
  text: The Golgi apparatus regulates the process of modification and subcellular
    localization of macromolecules, including proteins and lipids. Aberrant protein
    sorting caused by defects in the Golgi leads to various diseases in mammals. However,
    the role of the Golgi apparatus in organismal longevity remained largely unknown.
    By employing a quantitative proteomic approach, we demonstrated that MON-2, an
    evolutionarily conserved Arf-GEF protein implicated in Golgi-to-endosome trafficking,
    promotes longevity via upregulating macroautophagy/autophagy in C. elegans. Our
    data using cultured mammalian cells indicate that MON2 translocates from the Golgi
    to the endosome under starvation conditions, subsequently increasing autophagic
    flux by binding LGG-1/GABARAPL2. Thus, Golgi-to-endosome trafficking appears to
    be an evolutionarily conserved process for the upregulation of autophagy, which
    contributes to organismal longevity.
acknowledgement: This work is funded by National Research Foundation of Korea (NRF)
  grants NRF-2019R1A3B2067745 from the Korean Government (Ministry of Science and
  Information and Communications Technology (S-J.V.L.). NRF-2017R1A5A1015366 (S.Y.P,
  S-J.V.L). Korea Institute of Science and Technology (KIST) intramural grant (C.L).
article_processing_charge: No
article_type: original
author:
- first_name: Murat
  full_name: Artan, Murat
  id: C407B586-6052-11E9-B3AE-7006E6697425
  last_name: Artan
  orcid: 0000-0001-8945-6992
- first_name: Jooyeon
  full_name: Sohn, Jooyeon
  last_name: Sohn
- first_name: Cheolju
  full_name: Lee, Cheolju
  last_name: Lee
- first_name: Seung Yeol
  full_name: Park, Seung Yeol
  last_name: Park
- first_name: Seung Jae V.
  full_name: Lee, Seung Jae V.
  last_name: Lee
citation:
  ama: Artan M, Sohn J, Lee C, Park SY, Lee SJV. MON-2, a Golgi protein, promotes
    longevity by upregulating autophagy through mediating inter-organelle communications.
    <i>Autophagy</i>. 2022;18(5):1208-1210. doi:<a href="https://doi.org/10.1080/15548627.2022.2039523">10.1080/15548627.2022.2039523</a>
  apa: Artan, M., Sohn, J., Lee, C., Park, S. Y., &#38; Lee, S. J. V. (2022). MON-2,
    a Golgi protein, promotes longevity by upregulating autophagy through mediating
    inter-organelle communications. <i>Autophagy</i>. Taylor &#38; Francis. <a href="https://doi.org/10.1080/15548627.2022.2039523">https://doi.org/10.1080/15548627.2022.2039523</a>
  chicago: Artan, Murat, Jooyeon Sohn, Cheolju Lee, Seung Yeol Park, and Seung Jae
    V. Lee. “MON-2, a Golgi Protein, Promotes Longevity by Upregulating Autophagy
    through Mediating Inter-Organelle Communications.” <i>Autophagy</i>. Taylor &#38;
    Francis, 2022. <a href="https://doi.org/10.1080/15548627.2022.2039523">https://doi.org/10.1080/15548627.2022.2039523</a>.
  ieee: M. Artan, J. Sohn, C. Lee, S. Y. Park, and S. J. V. Lee, “MON-2, a Golgi protein,
    promotes longevity by upregulating autophagy through mediating inter-organelle
    communications,” <i>Autophagy</i>, vol. 18, no. 5. Taylor &#38; Francis, pp. 1208–1210,
    2022.
  ista: Artan M, Sohn J, Lee C, Park SY, Lee SJV. 2022. MON-2, a Golgi protein, promotes
    longevity by upregulating autophagy through mediating inter-organelle communications.
    Autophagy. 18(5), 1208–1210.
  mla: Artan, Murat, et al. “MON-2, a Golgi Protein, Promotes Longevity by Upregulating
    Autophagy through Mediating Inter-Organelle Communications.” <i>Autophagy</i>,
    vol. 18, no. 5, Taylor &#38; Francis, 2022, pp. 1208–10, doi:<a href="https://doi.org/10.1080/15548627.2022.2039523">10.1080/15548627.2022.2039523</a>.
  short: M. Artan, J. Sohn, C. Lee, S.Y. Park, S.J.V. Lee, Autophagy 18 (2022) 1208–1210.
date_created: 2022-03-13T23:01:47Z
date_published: 2022-02-19T00:00:00Z
date_updated: 2026-07-28T11:53:45Z
day: '19'
ddc:
- '570'
department:
- _id: MaDe
doi: 10.1080/15548627.2022.2039523
external_id:
  isi:
  - '000758859600001'
  pmid:
  - '35188063'
intvolume: '        18'
isi: 1
issue: '5'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1080/15548627.2022.2039523
month: '02'
oa: 1
oa_version: Published Version
page: 1208-1210
pmid: 1
publication: Autophagy
publication_identifier:
  eissn:
  - 1554-8635
  issn:
  - 1554-8627
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: MON-2, a Golgi protein, promotes longevity by upregulating autophagy through
  mediating inter-organelle communications
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2022'
...
---
_id: '11636'
abstract:
- lang: eng
  text: In [3], Poonen and Slavov recently developed a novel approach to Bertini irreducibility
    theorems over an arbitrary field, based on random hyperplane slicing. In this
    paper, we extend their work by proving an analogous bound for the dimension of
    the exceptional locus in the setting of linear subspaces of higher codimensions.
article_number: '102085'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Philip
  full_name: Kmentt, Philip
  id: c90670c9-0bf0-11ed-86f5-ed522ece2fac
  last_name: Kmentt
- first_name: Alec L
  full_name: Shute, Alec L
  id: 440EB050-F248-11E8-B48F-1D18A9856A87
  last_name: Shute
  orcid: 0000-0002-1812-2810
citation:
  ama: Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional
    slices. <i>Finite Fields and their Applications</i>. 2022;83(10). doi:<a href="https://doi.org/10.1016/j.ffa.2022.102085">10.1016/j.ffa.2022.102085</a>
  apa: Kmentt, P., &#38; Shute, A. L. (2022). The Bertini irreducibility theorem for
    higher codimensional slices. <i>Finite Fields and Their Applications</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.ffa.2022.102085">https://doi.org/10.1016/j.ffa.2022.102085</a>
  chicago: Kmentt, Philip, and Alec L Shute. “The Bertini Irreducibility Theorem for
    Higher Codimensional Slices.” <i>Finite Fields and Their Applications</i>. Elsevier,
    2022. <a href="https://doi.org/10.1016/j.ffa.2022.102085">https://doi.org/10.1016/j.ffa.2022.102085</a>.
  ieee: P. Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher
    codimensional slices,” <i>Finite Fields and their Applications</i>, vol. 83, no.
    10. Elsevier, 2022.
  ista: Kmentt P, Shute AL. 2022. The Bertini irreducibility theorem for higher codimensional
    slices. Finite Fields and their Applications. 83(10), 102085.
  mla: Kmentt, Philip, and Alec L. Shute. “The Bertini Irreducibility Theorem for
    Higher Codimensional Slices.” <i>Finite Fields and Their Applications</i>, vol.
    83, no. 10, 102085, Elsevier, 2022, doi:<a href="https://doi.org/10.1016/j.ffa.2022.102085">10.1016/j.ffa.2022.102085</a>.
  short: P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
corr_author: '1'
das_tickbox: '0'
date_created: 2022-07-24T22:01:41Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2026-07-29T10:45:21Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1016/j.ffa.2022.102085
external_id:
  arxiv:
  - '2111.06697'
  isi:
  - '000835490600001'
file:
- access_level: open_access
  checksum: 3ca88decb1011180dc6de7e0862153e1
  content_type: application/pdf
  creator: dernst
  date_created: 2023-02-02T07:56:34Z
  date_updated: 2023-02-02T07:56:34Z
  file_id: '12475'
  file_name: 2022_FiniteFields_Kmentt.pdf
  file_size: 247615
  relation: main_file
  success: 1
file_date_updated: 2023-02-02T07:56:34Z
has_accepted_license: '1'
intvolume: '        83'
isi: 1
issue: '10'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: Finite Fields and their Applications
publication_identifier:
  eissn:
  - 1090-2465
  issn:
  - 1071-5797
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: The Bertini irreducibility theorem for higher codimensional slices
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
volume: 83
year: '2022'
...
---
_id: '12684'
abstract:
- lang: eng
  text: Given a place  ω  of a global function field  K  over a finite field, with
    associated affine function ring  Rω  and completion  Kω , the aim of this paper
    is to give an effective joint equidistribution result for renormalized primitive
    lattice points  (a,b)∈Rω2  in the plane  Kω2 , and for renormalized solutions
    to the gcd equation  ax+by=1 . The main tools are techniques of Goronik and Nevo
    for counting lattice points in well-rounded families of subsets. This gives a
    sharper analog in positive characteristic of a result of Nevo and the first author
    for the equidistribution of the primitive lattice points in  \ZZ2 .
acknowledgement: "The authors warmly thank Amos Nevo for having presented the authors
  to each other during\r\na beautiful conference in Goa in February 2016, where the
  idea of this paper was born. The\r\nfirst author thanks the IHES for two post-doctoral
  years when most of this paper was discussed,\r\nand the Topology team in Orsay for
  financial support at the final stage. The first author was\r\nsupported by the EPRSC
  EP/P026710/1 grant. Finally, we warmly thank the referee for many\r\nvery helpful
  comments that have improved the readability of this paper."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tal
  full_name: Horesh, Tal
  id: C8B7BF48-8D81-11E9-BCA9-F536E6697425
  last_name: Horesh
- first_name: Frédéric
  full_name: Paulin, Frédéric
  last_name: Paulin
citation:
  ama: Horesh T, Paulin F. Effective equidistribution of lattice points in positive
    characteristic. <i>Journal de Theorie des Nombres de Bordeaux</i>. 2022;34(3):679-703.
    doi:<a href="https://doi.org/10.5802/JTNB.1222">10.5802/JTNB.1222</a>
  apa: Horesh, T., &#38; Paulin, F. (2022). Effective equidistribution of lattice
    points in positive characteristic. <i>Journal de Theorie Des Nombres de Bordeaux</i>.
    Université de Bordeaux. <a href="https://doi.org/10.5802/JTNB.1222">https://doi.org/10.5802/JTNB.1222</a>
  chicago: Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice
    Points in Positive Characteristic.” <i>Journal de Theorie Des Nombres de Bordeaux</i>.
    Université de Bordeaux, 2022. <a href="https://doi.org/10.5802/JTNB.1222">https://doi.org/10.5802/JTNB.1222</a>.
  ieee: T. Horesh and F. Paulin, “Effective equidistribution of lattice points in
    positive characteristic,” <i>Journal de Theorie des Nombres de Bordeaux</i>, vol.
    34, no. 3. Université de Bordeaux, pp. 679–703, 2022.
  ista: Horesh T, Paulin F. 2022. Effective equidistribution of lattice points in
    positive characteristic. Journal de Theorie des Nombres de Bordeaux. 34(3), 679–703.
  mla: Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points
    in Positive Characteristic.” <i>Journal de Theorie Des Nombres de Bordeaux</i>,
    vol. 34, no. 3, Université de Bordeaux, 2022, pp. 679–703, doi:<a href="https://doi.org/10.5802/JTNB.1222">10.5802/JTNB.1222</a>.
  short: T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022)
    679–703.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-02-26T23:01:02Z
date_published: 2022-01-27T00:00:00Z
date_updated: 2026-07-29T10:46:58Z
day: '27'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.5802/JTNB.1222
external_id:
  arxiv:
  - '2001.01534'
  isi:
  - '000926504300003'
file:
- access_level: open_access
  checksum: 08f28fded270251f568f610cf5166d69
  content_type: application/pdf
  creator: dernst
  date_created: 2023-02-27T09:10:13Z
  date_updated: 2023-02-27T09:10:13Z
  file_id: '12689'
  file_name: 2023_JourTheorieNombreBordeaux_Horesh.pdf
  file_size: 870468
  relation: main_file
  success: 1
file_date_updated: 2023-02-27T09:10:13Z
has_accepted_license: '1'
intvolume: '        34'
isi: 1
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '01'
oa: 1
oa_version: Published Version
page: 679-703
publication: Journal de Theorie des Nombres de Bordeaux
publication_identifier:
  eissn:
  - 2118-8572
  issn:
  - 1246-7405
publication_status: published
publisher: Université de Bordeaux
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Effective equidistribution of lattice points in positive characteristic
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 34
year: '2022'
...
---
_id: '12065'
abstract:
- lang: eng
  text: Capacity, rate performance, and cycle life of aprotic Li–O2 batteries critically
    depend on reversible electrodeposition of Li2O2. Current understanding states
    surface-adsorbed versus solvated LiO2 controls Li2O2 growth as surface film or
    as large particles. Herein, we show that Li2O2 forms across a wide range of electrolytes,
    carbons, and current densities as particles via solution-mediated LiO2 disproportionation,
    bringing into question the prevalence of any surface growth under practical conditions.
    We describe a unified O2 reduction mechanism, which can explain all found capacity
    relations and Li2O2 morphologies with exclusive solution discharge. Determining
    particle morphology and achievable capacities are species mobilities, true areal
    rate, and the degree of LiO2 association in solution. Capacity is conclusively
    limited by mass transport through the tortuous Li2O2 rather than electron transport
    through a passivating Li2O2 film. Provided that species mobilities and surface
    growth are high, high capacities are also achieved with weakly solvating electrolytes,
    which were previously considered prototypical for low capacity via surface growth.
acknowledged_ssus:
- _id: EM-Fac
- _id: M-Shop
acknowledgement: S.A.F. and C.P. are indebted to the European Research Council (ERC)
  under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
  No. 636069). This project has received funding from the European Union’s Horizon
  2020 research and innovation program under the Marie Skłodowska-Curie Grant NanoEvolution,
  Grant Agreement No. 894042. S.A.F. and S.M. are indebted to Institute of Science
  and Technology Austria (ISTA) for support. This research was supported by the Scientific
  Service Units of ISTA through resources provided by the Electron Microscopy Facility
  and the Miba Machine Shop. C.P. thanks Vanessa Wood (ETH Zürich) for her continuing
  support.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Christian
  full_name: Prehal, Christian
  last_name: Prehal
- first_name: Soumyadip
  full_name: Mondal, Soumyadip
  id: d25d21ef-dc8d-11ea-abe3-ec4576307f48
  last_name: Mondal
- first_name: Ludek
  full_name: Lovicar, Ludek
  id: 36DB3A20-F248-11E8-B48F-1D18A9856A87
  last_name: Lovicar
  orcid: 0000-0001-6206-4200
- first_name: Stefan Alexander
  full_name: Freunberger, Stefan Alexander
  id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
  last_name: Freunberger
  orcid: 0000-0003-2902-5319
citation:
  ama: Prehal C, Mondal S, Lovicar L, Freunberger SA. Exclusive solution discharge
    in Li-O₂ batteries? <i>ACS Energy Letters</i>. 2022;7(9):3112-3119. doi:<a href="https://doi.org/10.1021/acsenergylett.2c01711">10.1021/acsenergylett.2c01711</a>
  apa: Prehal, C., Mondal, S., Lovicar, L., &#38; Freunberger, S. A. (2022). Exclusive
    solution discharge in Li-O₂ batteries? <i>ACS Energy Letters</i>. American Chemical
    Society. <a href="https://doi.org/10.1021/acsenergylett.2c01711">https://doi.org/10.1021/acsenergylett.2c01711</a>
  chicago: Prehal, Christian, Soumyadip Mondal, Ludek Lovicar, and Stefan Alexander
    Freunberger. “Exclusive Solution Discharge in Li-O₂ Batteries?” <i>ACS Energy
    Letters</i>. American Chemical Society, 2022. <a href="https://doi.org/10.1021/acsenergylett.2c01711">https://doi.org/10.1021/acsenergylett.2c01711</a>.
  ieee: C. Prehal, S. Mondal, L. Lovicar, and S. A. Freunberger, “Exclusive solution
    discharge in Li-O₂ batteries?,” <i>ACS Energy Letters</i>, vol. 7, no. 9. American
    Chemical Society, pp. 3112–3119, 2022.
  ista: Prehal C, Mondal S, Lovicar L, Freunberger SA. 2022. Exclusive solution discharge
    in Li-O₂ batteries? ACS Energy Letters. 7(9), 3112–3119.
  mla: Prehal, Christian, et al. “Exclusive Solution Discharge in Li-O₂ Batteries?”
    <i>ACS Energy Letters</i>, vol. 7, no. 9, American Chemical Society, 2022, pp.
    3112–19, doi:<a href="https://doi.org/10.1021/acsenergylett.2c01711">10.1021/acsenergylett.2c01711</a>.
  short: C. Prehal, S. Mondal, L. Lovicar, S.A. Freunberger, ACS Energy Letters 7
    (2022) 3112–3119.
corr_author: '1'
date_created: 2022-09-08T09:51:09Z
date_published: 2022-08-29T00:00:00Z
date_updated: 2026-07-29T12:57:14Z
day: '29'
ddc:
- '540'
department:
- _id: StFr
- _id: EM-Fac
doi: 10.1021/acsenergylett.2c01711
external_id:
  isi:
  - '000860787000001'
  pmid:
  - '36120663'
file:
- access_level: open_access
  checksum: cf0bed3a2535c11d27244cd029dbc1d0
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T08:43:51Z
  date_updated: 2023-01-20T08:43:51Z
  file_id: '12319'
  file_name: 2022_ACSEnergyLetters_Prehal.pdf
  file_size: 3827583
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T08:43:51Z
has_accepted_license: '1'
intvolume: '         7'
isi: 1
issue: '9'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 3112-3119
pmid: 1
publication: ACS Energy Letters
publication_identifier:
  eissn:
  - 2380-8195
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
related_material:
  record:
  - id: '20607'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Exclusive solution discharge in Li-O₂ batteries?
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: '2022'
...
---
_id: '12109'
abstract:
- lang: eng
  text: Kelvin probe force microscopy (KPFM) is a powerful tool for studying contact
    electrification (CE) at the nanoscale, but converting KPFM voltage maps to charge
    density maps is nontrivial due to long-range forces and complex system geometry.
    Here we present a strategy using finite-element method (FEM) simulations to determine
    the Green's function of the KPFM probe/insulator/ground system, which allows us
    to quantitatively extract surface charge. Testing our approach with synthetic
    data, we find that accounting for the atomic force microscope (AFM) tip, cone,
    and cantilever is necessary to recover a known input and that existing methods
    lead to gross miscalculation or even the incorrect sign of the underlying charge.
    Applying it to experimental data, we demonstrate its capacity to extract realistic
    surface charge densities and fine details from contact-charged surfaces. Our method
    gives a straightforward recipe to convert qualitative KPFM voltage data into quantitative
    charge data over a range of experimental conditions, enabling quantitative CE
    at the nanoscale.
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
- _id: ScienComp
acknowledgement: "This project has received funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (Grant Agreement\r\nNo. 949120). This research was supported by the Scientific Service
  Units of the Institute of Science and Technology Austria (ISTA) through resources
  provided by the Miba Machine\r\nShop, the Nanofabrication Facility, and the Scientific
  Computing Facility. We thank F. Stumpf from Park Systems for useful discussions
  and support with scanning probe microscopy.\r\nF.P. and J.C.S. contributed equally
  to this work."
article_number: '125605'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Felix
  full_name: Pertl, Felix
  id: 6313aec0-15b2-11ec-abd3-ed67d16139af
  last_name: Pertl
  orcid: 0000-0003-0463-5794
- first_name: Juan Carlos A
  full_name: Sobarzo Ponce, Juan Carlos A
  id: 4B807D68-AE37-11E9-AC72-31CAE5697425
  last_name: Sobarzo Ponce
- first_name: Lubuna B
  full_name: Shafeek, Lubuna B
  id: 3CD37A82-F248-11E8-B48F-1D18A9856A87
  last_name: Shafeek
  orcid: 0000-0001-7180-6050
- first_name: Tobias
  full_name: Cramer, Tobias
  last_name: Cramer
- first_name: Scott R
  full_name: Waitukaitis, Scott R
  id: 3A1FFC16-F248-11E8-B48F-1D18A9856A87
  last_name: Waitukaitis
  orcid: 0000-0002-2299-3176
citation:
  ama: Pertl F, Sobarzo Ponce JCA, Shafeek LB, Cramer T, Waitukaitis SR. Quantifying
    nanoscale charge density features of contact-charged surfaces with an FEM/KPFM-hybrid
    approach. <i>Physical Review Materials</i>. 2022;6(12). doi:<a href="https://doi.org/10.1103/PhysRevMaterials.6.125605">10.1103/PhysRevMaterials.6.125605</a>
  apa: Pertl, F., Sobarzo Ponce, J. C. A., Shafeek, L. B., Cramer, T., &#38; Waitukaitis,
    S. R. (2022). Quantifying nanoscale charge density features of contact-charged
    surfaces with an FEM/KPFM-hybrid approach. <i>Physical Review Materials</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevMaterials.6.125605">https://doi.org/10.1103/PhysRevMaterials.6.125605</a>
  chicago: Pertl, Felix, Juan Carlos A Sobarzo Ponce, Lubuna B Shafeek, Tobias Cramer,
    and Scott R Waitukaitis. “Quantifying Nanoscale Charge Density Features of Contact-Charged
    Surfaces with an FEM/KPFM-Hybrid Approach.” <i>Physical Review Materials</i>.
    American Physical Society, 2022. <a href="https://doi.org/10.1103/PhysRevMaterials.6.125605">https://doi.org/10.1103/PhysRevMaterials.6.125605</a>.
  ieee: F. Pertl, J. C. A. Sobarzo Ponce, L. B. Shafeek, T. Cramer, and S. R. Waitukaitis,
    “Quantifying nanoscale charge density features of contact-charged surfaces with
    an FEM/KPFM-hybrid approach,” <i>Physical Review Materials</i>, vol. 6, no. 12.
    American Physical Society, 2022.
  ista: Pertl F, Sobarzo Ponce JCA, Shafeek LB, Cramer T, Waitukaitis SR. 2022. Quantifying
    nanoscale charge density features of contact-charged surfaces with an FEM/KPFM-hybrid
    approach. Physical Review Materials. 6(12), 125605.
  mla: Pertl, Felix, et al. “Quantifying Nanoscale Charge Density Features of Contact-Charged
    Surfaces with an FEM/KPFM-Hybrid Approach.” <i>Physical Review Materials</i>,
    vol. 6, no. 12, 125605, American Physical Society, 2022, doi:<a href="https://doi.org/10.1103/PhysRevMaterials.6.125605">10.1103/PhysRevMaterials.6.125605</a>.
  short: F. Pertl, J.C.A. Sobarzo Ponce, L.B. Shafeek, T. Cramer, S.R. Waitukaitis,
    Physical Review Materials 6 (2022).
corr_author: '1'
date_created: 2023-01-08T23:00:53Z
date_published: 2022-12-29T00:00:00Z
date_updated: 2026-07-29T13:11:24Z
day: '29'
department:
- _id: ScWa
- _id: NanoFab
doi: 10.1103/PhysRevMaterials.6.125605
ec_funded: 1
external_id:
  arxiv:
  - '2209.01889'
  isi:
  - '000908384800001'
intvolume: '         6'
isi: 1
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2209.01889'
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 0aa60e99-070f-11eb-9043-a6de6bdc3afa
  call_identifier: H2020
  grant_number: '949120'
  name: 'Tribocharge: a multi-scale approach to an enduring problem in physics'
publication: Physical Review Materials
publication_identifier:
  eissn:
  - 2475-9953
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  record:
  - id: '20203'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Quantifying nanoscale charge density features of contact-charged surfaces with
  an FEM/KPFM-hybrid approach
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 6
year: '2022'
...
---
_id: '9311'
abstract:
- lang: eng
  text: 'Partially observable Markov decision processes (POMDPs) are standard models
    for dynamic systems with probabilistic and nondeterministic behaviour in uncertain
    environments. We prove that in POMDPs with long-run average objective, the decision
    maker has approximately optimal strategies with finite memory. This implies notably
    that approximating the long-run value is recursively enumerable, as well as a
    weak continuity property of the value with respect to the transition function. '
acknowledgement: "Partially supported by Austrian Science Fund (FWF) NFN Grant No
  RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT
  through grant C15E03.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
- first_name: Bruno
  full_name: Ziliotto, Bruno
  last_name: Ziliotto
citation:
  ama: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs
    with long-run average objectives. <i>Mathematics of Operations Research</i>. 2022;47(1):100-119.
    doi:<a href="https://doi.org/10.1287/moor.2020.1116">10.1287/moor.2020.1116</a>
  apa: Chatterjee, K., Saona Urmeneta, R. J., &#38; Ziliotto, B. (2022). Finite-memory
    strategies in POMDPs with long-run average objectives. <i>Mathematics of Operations
    Research</i>. Institute for Operations Research and the Management Sciences. <a
    href="https://doi.org/10.1287/moor.2020.1116">https://doi.org/10.1287/moor.2020.1116</a>
  chicago: Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto.
    “Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” <i>Mathematics
    of Operations Research</i>. Institute for Operations Research and the Management
    Sciences, 2022. <a href="https://doi.org/10.1287/moor.2020.1116">https://doi.org/10.1287/moor.2020.1116</a>.
  ieee: K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies
    in POMDPs with long-run average objectives,” <i>Mathematics of Operations Research</i>,
    vol. 47, no. 1. Institute for Operations Research and the Management Sciences,
    pp. 100–119, 2022.
  ista: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies
    in POMDPs with long-run average objectives. Mathematics of Operations Research.
    47(1), 100–119.
  mla: Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run
    Average Objectives.” <i>Mathematics of Operations Research</i>, vol. 47, no. 1,
    Institute for Operations Research and the Management Sciences, 2022, pp. 100–19,
    doi:<a href="https://doi.org/10.1287/moor.2020.1116">10.1287/moor.2020.1116</a>.
  short: K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations
    Research 47 (2022) 100–119.
date_created: 2021-04-08T09:33:31Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2026-07-29T13:14:36Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1287/moor.2020.1116
external_id:
  arxiv:
  - '1904.13360'
  isi:
  - '000731918100001'
intvolume: '        47'
isi: 1
issue: '1'
keyword:
- Management Science and Operations Research
- General Mathematics
- Computer Science Applications
language:
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oa: 1
oa_version: Preprint
page: 100-119
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
publication: Mathematics of Operations Research
publication_identifier:
  eissn:
  - 1526-5471
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  - 0364-765X
publication_status: published
publisher: Institute for Operations Research and the Management Sciences
quality_controlled: '1'
related_material:
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  - id: '20234'
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    status: public
scopus_import: '1'
status: public
title: Finite-memory strategies in POMDPs with long-run average objectives
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 47
year: '2022'
...
---
_id: '11732'
abstract:
- lang: eng
  text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic
    formula, which strongly depends on the strength of the interaction potential V
    on the Fermi surface. In combination with the recent result by one of us (Math.
    Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities,
    we prove the universality of the ratio of the energy gap and the critical temperature.
acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and
  many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges
  partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open
  access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
  full_name: Lauritsen, Asbjørn Bækgaard
  id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
  last_name: Lauritsen
  orcid: 0000-0003-4476-2288
citation:
  ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of
    Statistical Physics</i>. 2022;189. doi:<a href="https://doi.org/10.1007/s10955-022-02965-9">10.1007/s10955-022-02965-9</a>
  apa: Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density.
    <i>Journal of Statistical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s10955-022-02965-9">https://doi.org/10.1007/s10955-022-02965-9</a>
  chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap
    at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022.
    <a href="https://doi.org/10.1007/s10955-022-02965-9">https://doi.org/10.1007/s10955-022-02965-9</a>.
  ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal
    of Statistical Physics</i>, vol. 189. Springer Nature, 2022.
  ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal
    of Statistical Physics. 189, 5.
  mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at
    High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature,
    2022, doi:<a href="https://doi.org/10.1007/s10955-022-02965-9">10.1007/s10955-022-02965-9</a>.
  short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
corr_author: '1'
date_created: 2022-08-05T11:36:56Z
date_published: 2022-07-29T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '29'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1007/s10955-022-02965-9
ec_funded: 1
external_id:
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  - '000833007200002'
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has_accepted_license: '1'
intvolume: '       189'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Statistical Physics
publication_identifier:
  eissn:
  - 1572-9613
  issn:
  - 0022-4715
publication_status: published
publisher: Springer Nature
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title: The BCS energy gap at high density
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  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 189
year: '2022'
...
---
_id: '10642'
abstract:
- lang: eng
  text: Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized
    but otherwise arbitrary perturbations of weakly interacting quantum spin systems
    with uniformly gapped on-site terms change the ground state of such a system only
    locally, even if they close the spectral gap. We call this a strong version of
    the local perturbations perturb locally (LPPL) principle which is known to hold
    for much more general gapped systems, but only for perturbations that do not close
    the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle
    to Hamiltonians that have the appropriate structure of gapped on-site terms and
    weak interactions only locally in some region of space. While our results are
    technically corollaries to a theorem of Yarotsky, we expect that the paradigm
    of systems with a locally gapped ground state that is completely insensitive to
    the form of the Hamiltonian elsewhere extends to other situations and has important
    physical consequences.
acknowledgement: J. H. acknowledges partial financial support by the ERC Advanced
  Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for
  very helpful comments and discussions and Jürg Fröhlich for references to the literature.
  Open Access funding enabled and organized by Projekt DEAL.
article_number: '9'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Stefan
  full_name: Teufel, Stefan
  last_name: Teufel
- first_name: Tom
  full_name: Wessel, Tom
  last_name: Wessel
citation:
  ama: Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally
    gapped and weakly interacting quantum spin systems. <i>Letters in Mathematical
    Physics</i>. 2022;112(1). doi:<a href="https://doi.org/10.1007/s11005-021-01494-y">10.1007/s11005-021-01494-y</a>
  apa: Henheik, S. J., Teufel, S., &#38; Wessel, T. (2022). Local stability of ground
    states in locally gapped and weakly interacting quantum spin systems. <i>Letters
    in Mathematical Physics</i>. Springer Nature. <a href="https://doi.org/10.1007/s11005-021-01494-y">https://doi.org/10.1007/s11005-021-01494-y</a>
  chicago: Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of
    Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.”
    <i>Letters in Mathematical Physics</i>. Springer Nature, 2022. <a href="https://doi.org/10.1007/s11005-021-01494-y">https://doi.org/10.1007/s11005-021-01494-y</a>.
  ieee: S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states
    in locally gapped and weakly interacting quantum spin systems,” <i>Letters in
    Mathematical Physics</i>, vol. 112, no. 1. Springer Nature, 2022.
  ista: Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in
    locally gapped and weakly interacting quantum spin systems. Letters in Mathematical
    Physics. 112(1), 9.
  mla: Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped
    and Weakly Interacting Quantum Spin Systems.” <i>Letters in Mathematical Physics</i>,
    vol. 112, no. 1, 9, Springer Nature, 2022, doi:<a href="https://doi.org/10.1007/s11005-021-01494-y">10.1007/s11005-021-01494-y</a>.
  short: S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
date_created: 2022-01-18T16:18:25Z
date_published: 2022-01-18T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '18'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1007/s11005-021-01494-y
ec_funded: 1
external_id:
  arxiv:
  - '2106.13780'
  isi:
  - '000744930400001'
  pmid:
  - '35125630'
file:
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  checksum: 7e8e69b76e892c305071a4736131fe18
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  date_created: 2022-01-19T09:41:14Z
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intvolume: '       112'
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keyword:
- mathematical physics
- statistical and nonlinear physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Letters in Mathematical Physics
publication_identifier:
  eissn:
  - 1573-0530
  issn:
  - 0377-9017
publication_status: published
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title: Local stability of ground states in locally gapped and weakly interacting quantum
  spin systems
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  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2022'
...
---
_id: '10623'
abstract:
- lang: eng
  text: We investigate the BCS critical temperature Tc in the high-density limit and
    derive an asymptotic formula, which strongly depends on the behavior of the interaction
    potential V on the Fermi-surface. Our results include a rigorous confirmation
    for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev
    Lett 122:157001, 2019) and identify precise conditions under which superconducting
    domes arise in BCS theory.
acknowledgement: I am very grateful to Robert Seiringer for his guidance during this
  project and for many valuable comments on an earlier version of the manuscript.
  Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions
  and comments, pointing out the reference [22] and for his involvement in a closely
  related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable
  comments on an earlier version of the manuscript and Andreas Deuchert for interesting
  discussions.
article_number: '3'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
citation:
  ama: Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics,
    Analysis and Geometry</i>. 2022;25(1). doi:<a href="https://doi.org/10.1007/s11040-021-09415-0">10.1007/s11040-021-09415-0</a>
  apa: Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical
    Physics, Analysis and Geometry</i>. Springer Nature. <a href="https://doi.org/10.1007/s11040-021-09415-0">https://doi.org/10.1007/s11040-021-09415-0</a>
  chicago: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical
    Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href="https://doi.org/10.1007/s11040-021-09415-0">https://doi.org/10.1007/s11040-021-09415-0</a>.
  ieee: S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical
    Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022.
  ista: Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical
    Physics, Analysis and Geometry. 25(1), 3.
  mla: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical
    Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022,
    doi:<a href="https://doi.org/10.1007/s11040-021-09415-0">10.1007/s11040-021-09415-0</a>.
  short: S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
corr_author: '1'
date_created: 2022-01-13T15:40:53Z
date_published: 2022-01-11T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '11'
ddc:
- '514'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1007/s11040-021-09415-0
ec_funded: 1
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- geometry and topology
- mathematical physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
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  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
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  name: IST Austria Open Access Fund
publication: Mathematical Physics, Analysis and Geometry
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  issn:
  - 1385-0172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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scopus_import: '1'
status: public
title: The BCS critical temperature at high density
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  short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 25
year: '2022'
...
---
_id: '12184'
abstract:
- lang: eng
  text: We review recent results on adiabatic theory for ground states of extended
    gapped fermionic lattice systems under several different assumptions. More precisely,
    we present generalized super-adiabatic theorems for extended but finite and infinite
    systems, assuming either a uniform gap or a gap in the bulk above the unperturbed
    ground state. The goal of this Review is to provide an overview of these adiabatic
    theorems and briefly outline the main ideas and techniques required in their proofs.
acknowledgement: "It is a pleasure to thank Stefan Teufel for numerous interesting
  discussions, fruitful collaboration, and many helpful comments on an earlier version
  of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced
  Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges
  financial support from the DFG research unit FOR 5413 “Long-range interacting quantum
  spin systems out of equilibrium: Experiment, Theory and Mathematics.\" "
article_number: '121101'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Tom
  full_name: Wessel, Tom
  last_name: Wessel
citation:
  ama: Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems.
    <i>Journal of Mathematical Physics</i>. 2022;63(12). doi:<a href="https://doi.org/10.1063/5.0123441">10.1063/5.0123441</a>
  apa: Henheik, S. J., &#38; Wessel, T. (2022). On adiabatic theory for extended fermionic
    lattice systems. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href="https://doi.org/10.1063/5.0123441">https://doi.org/10.1063/5.0123441</a>
  chicago: Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended
    Fermionic Lattice Systems.” <i>Journal of Mathematical Physics</i>. AIP Publishing,
    2022. <a href="https://doi.org/10.1063/5.0123441">https://doi.org/10.1063/5.0123441</a>.
  ieee: S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice
    systems,” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12. AIP Publishing,
    2022.
  ista: Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice
    systems. Journal of Mathematical Physics. 63(12), 121101.
  mla: Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic
    Lattice Systems.” <i>Journal of Mathematical Physics</i>, vol. 63, no. 12, 121101,
    AIP Publishing, 2022, doi:<a href="https://doi.org/10.1063/5.0123441">10.1063/5.0123441</a>.
  short: S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
corr_author: '1'
date_created: 2023-01-15T23:00:52Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2026-07-29T13:18:16Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1063/5.0123441
ec_funded: 1
external_id:
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  - '2208.12220'
  isi:
  - '000905776200001'
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month: '12'
oa: 1
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  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Mathematical Physics
publication_identifier:
  issn:
  - 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
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scopus_import: '1'
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title: On adiabatic theory for extended fermionic lattice systems
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type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '17087'
abstract:
- lang: eng
  text: We consider the problem of model compression for deep neural networks (DNNs)
    in the challenging one-shot/post-training setting, in which we are given an accurate
    trained model, and must compress it without any retraining, based only on a small
    amount of calibration input data. This problem has become popular in view of the
    emerging software and hardware support for executing models compressed via pruning
    and/or quantization with speedup, and well-performing solutions have been proposed
    independently for both compression approaches.In this paper, we introduce a new
    compression framework which covers both weight pruning and quantization in a unified
    setting, is time- and space-efficient, and considerably improves upon the practical
    performance of existing post-training methods. At the technical level, our approach
    is based on an exact and efficient realization of the classical Optimal Brain
    Surgeon (OBS) framework of [LeCun, Denker, and Solla, 1990] extended to also cover
    weight quantization at the scale of modern DNNs. From the practical perspective,
    our experimental results show that it can improve significantly upon the compression-accuracy
    trade-offs of existing post-training methods, and that it can enable the accurate
    compound application of both pruning and quantization in a post-training setting.
acknowledgement: 'We gratefully acknowledge funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 programme (grant agreement No 805223
  ScaleML), as well as computational support from AWS EC2. We thank Eldar Kurtic for
  providing us BERT code and pretrained models, and the Neural Magic Team, notably
  Michael Goin and Mark Kurtz, for support with their software. '
alternative_title:
- NeurIPS
article_processing_charge: No
arxiv: 1
author:
- first_name: Elias
  full_name: Frantar, Elias
  id: 09a8f98d-ec99-11ea-ae11-c063a7b7fe5f
  last_name: Frantar
- first_name: Sidak Pal
  full_name: Singh, Sidak Pal
  id: DD138E24-D89D-11E9-9DC0-DEF6E5697425
  last_name: Singh
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
citation:
  ama: 'Frantar E, Singh SP, Alistarh D-A. Optimal brain compression: A framework
    for accurate post-training quantization and pruning. In: <i>36th Conference on
    Neural Information Processing Systems</i>. Vol 35. ML Research Press; 2022.'
  apa: 'Frantar, E., Singh, S. P., &#38; Alistarh, D.-A. (2022). Optimal brain compression:
    A framework for accurate post-training quantization and pruning. In <i>36th Conference
    on Neural Information Processing Systems</i> (Vol. 35). New Orleans, LA, United
    States: ML Research Press.'
  chicago: 'Frantar, Elias, Sidak Pal Singh, and Dan-Adrian Alistarh. “Optimal Brain
    Compression: A Framework for Accurate Post-Training Quantization and Pruning.”
    In <i>36th Conference on Neural Information Processing Systems</i>, Vol. 35. ML
    Research Press, 2022.'
  ieee: 'E. Frantar, S. P. Singh, and D.-A. Alistarh, “Optimal brain compression:
    A framework for accurate post-training quantization and pruning,” in <i>36th Conference
    on Neural Information Processing Systems</i>, New Orleans, LA, United States,
    2022, vol. 35.'
  ista: 'Frantar E, Singh SP, Alistarh D-A. 2022. Optimal brain compression: A framework
    for accurate post-training quantization and pruning. 36th Conference on Neural
    Information Processing Systems. NeurIPS: Neural Information Processing Systems,
    NeurIPS, vol. 35.'
  mla: 'Frantar, Elias, et al. “Optimal Brain Compression: A Framework for Accurate
    Post-Training Quantization and Pruning.” <i>36th Conference on Neural Information
    Processing Systems</i>, vol. 35, ML Research Press, 2022.'
  short: E. Frantar, S.P. Singh, D.-A. Alistarh, in:, 36th Conference on Neural Information
    Processing Systems, ML Research Press, 2022.
conference:
  end_date: 2022-12-09
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2022-11-28
corr_author: '1'
date_created: 2024-05-29T06:38:26Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2026-07-29T13:48:39Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
ec_funded: 1
external_id:
  arxiv:
  - '2208.11580'
file:
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  checksum: 38e7d75f578e8d2e207c81895e09f211
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  creator: dernst
  date_created: 2024-08-05T09:25:39Z
  date_updated: 2024-08-05T09:25:39Z
  file_id: '17391'
  file_name: 2022_NeurIPS_Frantar.pdf
  file_size: 491843
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  success: 1
file_date_updated: 2024-08-05T09:25:39Z
has_accepted_license: '1'
intvolume: '        35'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Submitted Version
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
publication: 36th Conference on Neural Information Processing Systems
publication_identifier:
  isbn:
  - '9781713871088'
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
related_material:
  record:
  - id: '17485'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Optimal brain compression: A framework for accurate post-training quantization
  and pruning'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 35
year: '2022'
...
---
_id: '12286'
abstract:
- lang: eng
  text: "Inspired by the study of loose cycles in hypergraphs, we define the loose
    core in hypergraphs as a structurewhich mirrors the close relationship between
    cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random
    hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition
    at a certain critical threshold and determine this order, as well as the number
    of edges, asymptotically in the subcritical and supercritical regimes.&#x0D;\r\nOur
    main tool is an algorithm called CoreConstruct, which enables us to analyse a
    peeling process for the loose core. By analysing this algorithm we determine the
    asymptotic degree distribution of vertices in the loose core and in particular
    how many vertices and edges the loose core contains. As a corollary we obtain
    an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$."
acknowledgement: 'Supported by Austrian Science Fund (FWF): I3747, W1230.'
article_number: P4.13
article_processing_charge: No
article_type: original
author:
- first_name: Oliver
  full_name: Cooley, Oliver
  id: 43f4ddd0-a46b-11ec-8df6-ef3703bd721d
  last_name: Cooley
- first_name: Mihyun
  full_name: Kang, Mihyun
  last_name: Kang
- first_name: Julian
  full_name: Zalla, Julian
  last_name: Zalla
citation:
  ama: Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. <i>The
    Electronic Journal of Combinatorics</i>. 2022;29(4). doi:<a href="https://doi.org/10.37236/10794">10.37236/10794</a>
  apa: Cooley, O., Kang, M., &#38; Zalla, J. (2022). Loose cores and cycles in random
    hypergraphs. <i>The Electronic Journal of Combinatorics</i>. Electronic Journal
    of Combinatorics. <a href="https://doi.org/10.37236/10794">https://doi.org/10.37236/10794</a>
  chicago: Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles
    in Random Hypergraphs.” <i>The Electronic Journal of Combinatorics</i>. Electronic
    Journal of Combinatorics, 2022. <a href="https://doi.org/10.37236/10794">https://doi.org/10.37236/10794</a>.
  ieee: O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,”
    <i>The Electronic Journal of Combinatorics</i>, vol. 29, no. 4. Electronic Journal
    of Combinatorics, 2022.
  ista: Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs.
    The Electronic Journal of Combinatorics. 29(4), P4.13.
  mla: Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” <i>The
    Electronic Journal of Combinatorics</i>, vol. 29, no. 4, P4.13, Electronic Journal
    of Combinatorics, 2022, doi:<a href="https://doi.org/10.37236/10794">10.37236/10794</a>.
  short: O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29
    (2022).
date_created: 2023-01-16T10:03:57Z
date_published: 2022-10-21T00:00:00Z
date_updated: 2026-08-04T09:29:03Z
day: '21'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.37236/10794
external_id:
  isi:
  - '000876763300001'
file:
- access_level: open_access
  checksum: 00122b2459f09b5ae43073bfba565e94
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-30T11:45:13Z
  date_updated: 2023-01-30T11:45:13Z
  file_id: '12462'
  file_name: 2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf
  file_size: 626953
  relation: main_file
  success: 1
file_date_updated: 2023-01-30T11:45:13Z
has_accepted_license: '1'
intvolume: '        29'
isi: 1
issue: '4'
keyword:
- Computational Theory and Mathematics
- Geometry and Topology
- Theoretical Computer Science
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: The Electronic Journal of Combinatorics
publication_identifier:
  eissn:
  - 1077-8926
publication_status: published
publisher: Electronic Journal of Combinatorics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Loose cores and cycles in random hypergraphs
tmp:
  image: /image/cc_by_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
  name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
  short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2022'
...
---
_id: '10765'
abstract:
- lang: eng
  text: We establish the Hardy-Littlewood property (à la Borovoi-Rudnick) for Zariski
    open subsets in affine quadrics of the form q(x1,...,xn)=m, where q is a non-degenerate
    integral quadratic form in  n>3 variables and m is a non-zero integer. This gives
    asymptotic formulas for the density of integral points taking coprime polynomial
    values, which is a quantitative version of the arithmetic purity of strong approximation
    property off infinity for affine quadrics.
acknowledgement: "We are grateful to Mikhail Borovoi, Zeev Rudnick and Olivier Wienberg
  for their interest in our\r\nwork. We would like to address our gratitude to Ulrich
  Derenthal for his generous support at Leibniz Universitat Hannover. We are in debt
  to Tim Browning for an enlightening discussion and to the anonymous referees for
  critical comments, which lead to overall improvements of various preliminary versions
  of this paper. Part of this work was carried out and reported during a visit to
  the University of Science and Technology of China. We thank Yongqi Liang for offering
  warm hospitality. The first author was supported by a Humboldt-Forschungsstipendium.
  The second author was supported by grant DE 1646/4-2 of the Deutsche Forschungsgemeinschaft."
article_number: '108236'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Yang
  full_name: Cao, Yang
  last_name: Cao
- first_name: Zhizhong
  full_name: Huang, Zhizhong
  id: 21f1b52f-2fd1-11eb-a347-a4cdb9b18a51
  last_name: Huang
citation:
  ama: Cao Y, Huang Z. Arithmetic purity of the Hardy-Littlewood property and geometric
    sieve for affine quadrics. <i>Advances in Mathematics</i>. 2022;398(3). doi:<a
    href="https://doi.org/10.1016/j.aim.2022.108236">10.1016/j.aim.2022.108236</a>
  apa: Cao, Y., &#38; Huang, Z. (2022). Arithmetic purity of the Hardy-Littlewood
    property and geometric sieve for affine quadrics. <i>Advances in Mathematics</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.aim.2022.108236">https://doi.org/10.1016/j.aim.2022.108236</a>
  chicago: Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood
    Property and Geometric Sieve for Affine Quadrics.” <i>Advances in Mathematics</i>.
    Elsevier, 2022. <a href="https://doi.org/10.1016/j.aim.2022.108236">https://doi.org/10.1016/j.aim.2022.108236</a>.
  ieee: Y. Cao and Z. Huang, “Arithmetic purity of the Hardy-Littlewood property and
    geometric sieve for affine quadrics,” <i>Advances in Mathematics</i>, vol. 398,
    no. 3. Elsevier, 2022.
  ista: Cao Y, Huang Z. 2022. Arithmetic purity of the Hardy-Littlewood property and
    geometric sieve for affine quadrics. Advances in Mathematics. 398(3), 108236.
  mla: Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property
    and Geometric Sieve for Affine Quadrics.” <i>Advances in Mathematics</i>, vol.
    398, no. 3, 108236, Elsevier, 2022, doi:<a href="https://doi.org/10.1016/j.aim.2022.108236">10.1016/j.aim.2022.108236</a>.
  short: Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
corr_author: '1'
das_tickbox: '0'
date_created: 2022-02-20T23:01:30Z
date_published: 2022-03-26T00:00:00Z
date_updated: 2026-08-06T10:29:39Z
day: '26'
department:
- _id: TiBr
doi: 10.1016/j.aim.2022.108236
external_id:
  arxiv:
  - '2003.07287'
  isi:
  - '000792517300014'
intvolume: '       398'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2003.07287
month: '03'
oa: 1
oa_version: Preprint
publication: Advances in Mathematics
publication_identifier:
  eissn:
  - 1090-2082
  issn:
  - 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Arithmetic purity of the Hardy-Littlewood property and geometric sieve for
  affine quadrics
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 398
year: '2022'
...
---
_id: '10788'
abstract:
- lang: eng
  text: "We determine an asymptotic formula for the number of integral points of\r\nbounded
    height on a certain toric variety, which is incompatible with part of a\r\npreprint
    by Chambert-Loir and Tschinkel. We provide an alternative\r\ninterpretation of
    the asymptotic formula we get. To do so, we construct an\r\nanalogue of Peyre's
    constant $\\alpha$ and describe its relation to a new\r\nobstruction to the Zariski
    density of integral points in certain regions of\r\nvarieties."
acknowledgement: "Part of this work was conducted as a guest at the Institut de Mathématiques
  de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.\r\nDuring
  this time, I had interesting and fruitful discussions on the interpretation of the
  result for\r\nthe toric variety discussed in Section 3 with Antoine Chambert-Loir.
  I wish to thank him for these\r\nopportunities and for his useful remarks on earlier
  versions of this article. This work was partly\r\nfunded by FWF grant P 32428-N35."
article_number: '2202.10909'
article_processing_charge: No
arxiv: 1
author:
- first_name: Florian Alexander
  full_name: Wilsch, Florian Alexander
  id: 560601DA-8D36-11E9-A136-7AC1E5697425
  last_name: Wilsch
  orcid: 0000-0001-7302-8256
citation:
  ama: Wilsch FA. Integral points of bounded height on a certain toric variety. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2202.10909">10.48550/arXiv.2202.10909</a>
  apa: Wilsch, F. A. (n.d.). Integral points of bounded height on a certain toric
    variety. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2202.10909">https://doi.org/10.48550/arXiv.2202.10909</a>
  chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain
    Toric Variety.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2202.10909">https://doi.org/10.48550/arXiv.2202.10909</a>.
  ieee: F. A. Wilsch, “Integral points of bounded height on a certain toric variety,”
    <i>arXiv</i>. .
  ista: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv,
    2202.10909.
  mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain
    Toric Variety.” <i>ArXiv</i>, 2202.10909, doi:<a href="https://doi.org/10.48550/arXiv.2202.10909">10.48550/arXiv.2202.10909</a>.
  short: F.A. Wilsch, ArXiv (n.d.).
corr_author: '1'
das_tickbox: '0'
date_created: 2022-02-23T09:04:43Z
date_published: 2022-02-22T00:00:00Z
date_updated: 2026-08-06T10:31:31Z
day: '22'
department:
- _id: TiBr
doi: 10.48550/arXiv.2202.10909
external_id:
  arxiv:
  - '2202.10909'
keyword:
- Integral point
- toric variety
- Manin's conjecture
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2202.10909
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 26AEDAB2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P32428
  name: New frontiers of the Manin conjecture
publication: arXiv
publication_status: submitted
researchdata_availability: no
status: public
supplementarymaterial: no
title: Integral points of bounded height on a certain toric variety
type: preprint
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2022'
...
