---
_id: '22373'
abstract:
- lang: eng
  text: "Data dissemination is a fundamental task in distributed computing. This paper
    studies broadcast problems in various innovative models where the communication
    network connecting n processes is dynamic (e.g., due to mobility or failures)
    and controlled by an adversary. \r\nIn the first model, the processes transitively
    communicate their ids in synchronous rounds along a rooted tree given in each
    round by the adversary whose goal is to maximize the number of rounds until at
    least one id is known by all processes. Previous research has shown a ⌈(3n-1)/2⌉-2
    lower bound and an O(nlog log n) upper bound. We show the first linear upper bound
    for this problem, namely ⌈(1+√2) n-1⌉ ≈ 2.4n.\r\nWe extend these results to the
    setting where the adversary gives in each round k-disjoint forests and their goal
    is to maximize the number of rounds until there is a set of k ids such that each
    process knows of at least one of them. We give a ⌈3(n-k)/2⌉-1 lower bound and
    a (π²+6)/6 n+1 ≈ 2.6n upper bound for this problem.\r\nFinally, we study the setting
    where the adversary gives in each round a directed graph with k roots and their
    goal is to maximize the number of rounds until there exist k ids that are known
    by all processes. We give a ⌈3(n-3k)/2⌉+2 lower bound and a ⌈(1+√2)n⌉+k-1 ≈ 2.4n+k
    upper bound for this problem.\r\nFor the two latter problems no upper or lower
    bounds were previously known."
acknowledgement: " This project has received funding from the European Research Council
  (ERC) under\r\nthe European Union’s Horizon 2020 research and innovation programme
  (grant agreement No.\r\n101019564). This work was further supported by the Austrian
  Science Fund (FWF) and netIDEE\r\nSCIENCE project P 33775-N, as well as the FWF
  project I 4800-N (ADVISE)"
alternative_title:
- LIPIcs
article_number: '47'
article_processing_charge: No
arxiv: 1
author:
- first_name: Antoine
  full_name: El-Hayek, Antoine
  id: 888a098e-fcac-11ee-aff7-d347be57b725
  last_name: El-Hayek
  orcid: 0000-0003-4268-7368
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
  orcid: 0000-0002-7798-1711
citation:
  ama: 'El-Hayek A, Henzinger M, Schmid S. Asymptotically tight bounds on the time
    complexity of broadcast and its variants in dynamic networks. In: Tauman Kalai
    Y, ed. <i>14th Innovations in Theoretical Computer Science Conference</i>. Vol
    251. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">10.4230/LIPICS.ITCS.2023.47</a>'
  apa: 'El-Hayek, A., Henzinger, M., &#38; Schmid, S. (2023). Asymptotically tight
    bounds on the time complexity of broadcast and its variants in dynamic networks.
    In Y. Tauman Kalai (Ed.), <i>14th Innovations in Theoretical Computer Science
    Conference</i> (Vol. 251). Cambridge, Massachusetts, USA: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">https://doi.org/10.4230/LIPICS.ITCS.2023.47</a>'
  chicago: El-Hayek, Antoine, Monika Henzinger, and Stefan Schmid. “Asymptotically
    Tight Bounds on the Time Complexity of Broadcast and Its Variants in Dynamic Networks.”
    In <i>14th Innovations in Theoretical Computer Science Conference</i>, edited
    by Yael Tauman Kalai, Vol. 251. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023. <a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">https://doi.org/10.4230/LIPICS.ITCS.2023.47</a>.
  ieee: A. El-Hayek, M. Henzinger, and S. Schmid, “Asymptotically tight bounds on
    the time complexity of broadcast and its variants in dynamic networks,” in <i>14th
    Innovations in Theoretical Computer Science Conference</i>, Cambridge, Massachusetts,
    USA, 2023, vol. 251.
  ista: 'El-Hayek A, Henzinger M, Schmid S. 2023. Asymptotically tight bounds on the
    time complexity of broadcast and its variants in dynamic networks. 14th Innovations
    in Theoretical Computer Science Conference. ITCS: Innovations in Theoretical Computer
    Science, LIPIcs, vol. 251, 47.'
  mla: El-Hayek, Antoine, et al. “Asymptotically Tight Bounds on the Time Complexity
    of Broadcast and Its Variants in Dynamic Networks.” <i>14th Innovations in Theoretical
    Computer Science Conference</i>, edited by Yael Tauman Kalai, vol. 251, 47, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:<a href="https://doi.org/10.4230/LIPICS.ITCS.2023.47">10.4230/LIPICS.ITCS.2023.47</a>.
  short: A. El-Hayek, M. Henzinger, S. Schmid, in:, Y. Tauman Kalai (Ed.), 14th Innovations
    in Theoretical Computer Science Conference, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2023.
conference:
  end_date: 2023-01-13
  location: Cambridge, Massachusetts, USA
  name: 'ITCS: Innovations in Theoretical Computer Science'
  start_date: 2023-01-10
date_created: 2026-07-20T11:45:04Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2026-07-24T12:48:29Z
day: '01'
ddc:
- '000'
doi: 10.4230/LIPICS.ITCS.2023.47
editor:
- first_name: Yael
  full_name: Tauman Kalai, Yael
  last_name: Tauman Kalai
extern: '1'
external_id:
  arxiv:
  - '2211.10151'
file:
- access_level: open_access
  checksum: d7f45fdcbc5fccd61db69f56d775c636
  content_type: application/pdf
  creator: cchlebak
  date_created: 2026-07-22T08:04:03Z
  date_updated: 2026-07-22T08:04:03Z
  file_id: '22383'
  file_name: 2023_LIPIcs_El-Hayek.pdf
  file_size: 1077427
  relation: main_file
  success: 1
file_date_updated: 2026-07-22T08:04:03Z
has_accepted_license: '1'
intvolume: '       251'
keyword:
- broadcast
- cover
- k-broadcast
- dynamic radius
- dynamic graphs
- oblivious message adversary
- time complexity
- Theory of computation → Distributed algorithms
- Networks → Network algorithms
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '02'
oa: 1
oa_version: Published Version
publication: 14th Innovations in Theoretical Computer Science Conference
publication_identifier:
  isbn:
  - '9783959772631'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
  record:
  - id: '22281'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Asymptotically tight bounds on the time complexity of broadcast and its variants
  in dynamic networks
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: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 251
year: '2023'
...
---
OA_place: repository
_id: '15039'
abstract:
- lang: eng
  text: 'A crucial property for achieving secure, trustworthy and interpretable deep
    learning systems is their robustness: small changes to a system''s inputs should
    not result in large changes to its outputs. Mathematically, this means one strives
    for networks with a small Lipschitz constant. Several recent works have focused
    on how to construct such Lipschitz networks, typically by imposing constraints
    on the weight matrices. In this work, we study an orthogonal aspect, namely the
    role of the activation function. We show that commonly used activation functions,
    such as MaxMin, as well as all piece-wise linear ones with two segments unnecessarily
    restrict the class of representable functions, even in the simplest one-dimensional
    setting. We furthermore introduce the new N-activation function that is provably
    more expressive than currently popular activation functions. We provide code at
    this https URL.'
article_number: '2311.06103'
article_processing_charge: No
arxiv: 1
author:
- first_name: Bernd
  full_name: Prach, Bernd
  id: 2D561D42-C427-11E9-89B4-9C1AE6697425
  last_name: Prach
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: Prach B, Lampert C. 1-Lipschitz neural networks are more expressive with N-activations.
    <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/ARXIV.2311.06103">10.48550/ARXIV.2311.06103</a>
  apa: Prach, B., &#38; Lampert, C. (n.d.). 1-Lipschitz neural networks are more expressive
    with N-activations. <i>arXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2311.06103">https://doi.org/10.48550/ARXIV.2311.06103</a>
  chicago: Prach, Bernd, and Christoph Lampert. “1-Lipschitz Neural Networks Are More
    Expressive with N-Activations.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/ARXIV.2311.06103">https://doi.org/10.48550/ARXIV.2311.06103</a>.
  ieee: B. Prach and C. Lampert, “1-Lipschitz neural networks are more expressive
    with N-activations,” <i>arXiv</i>. .
  ista: Prach B, Lampert C. 1-Lipschitz neural networks are more expressive with N-activations.
    arXiv, 2311.06103.
  mla: Prach, Bernd, and Christoph Lampert. “1-Lipschitz Neural Networks Are More
    Expressive with N-Activations.” <i>ArXiv</i>, 2311.06103, doi:<a href="https://doi.org/10.48550/ARXIV.2311.06103">10.48550/ARXIV.2311.06103</a>.
  short: B. Prach, C. Lampert, ArXiv (n.d.).
corr_author: '1'
date_created: 2024-02-28T17:59:32Z
date_published: 2023-11-10T00:00:00Z
date_updated: 2026-07-27T12:47:43Z
day: '10'
department:
- _id: GradSch
- _id: ChLa
doi: 10.48550/ARXIV.2311.06103
external_id:
  arxiv:
  - '2311.06103'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2311.06103
month: '11'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '19759'
    relation: dissertation_contains
    status: public
status: public
title: 1-Lipschitz neural networks are more expressive with N-activations
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: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2023'
...
---
_id: '14771'
abstract:
- lang: eng
  text: Pruning—that is, setting a significant subset of the parameters of a neural
    network to zero—is one of the most popular methods of model compression. Yet,
    several recent works have raised the issue that pruning may induce or exacerbate
    bias in the output of the compressed model. Despite existing evidence for this
    phenomenon, the relationship between neural network pruning and induced bias is
    not well-understood. In this work, we systematically investigate and characterize
    this phenomenon in Convolutional Neural Networks for computer vision. First, we
    show that it is in fact possible to obtain highly-sparse models, e.g. with less
    than 10% remaining weights, which do not decrease in accuracy nor substantially
    increase in bias when compared to dense models. At the same time, we also find
    that, at higher sparsities, pruned models exhibit higher uncertainty in their
    outputs, as well as increased correlations, which we directly link to increased
    bias. We propose easy-to-use criteria which, based only on the uncompressed model,
    establish whether bias will increase with pruning, and identify the samples most
    susceptible to biased predictions post-compression. Our code can be found at https://github.com/IST-DASLab/pruned-vision-model-bias.
acknowledgement: The authors would like to sincerely thank Sara Hooker for her feedback
  during the development of this work. EI was supported in part by the FWF DK VGSCO,
  grant agreement number W1260-N35. AP and DA acknowledge generous ERC support, via
  Starting Grant 805223 ScaleML.
article_processing_charge: No
arxiv: 1
author:
- first_name: Eugenia B
  full_name: Iofinova, Eugenia B
  id: f9a17499-f6e0-11ea-865d-fdf9a3f77117
  last_name: Iofinova
  orcid: 0000-0002-7778-3221
- first_name: Elena-Alexandra
  full_name: Peste, Elena-Alexandra
  id: 32D78294-F248-11E8-B48F-1D18A9856A87
  last_name: Peste
- 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: 'Iofinova EB, Krumes A, Alistarh D-A. Bias in pruned vision models: In-depth
    analysis and countermeasures. In: <i>2023 IEEE/CVF Conference on Computer Vision
    and Pattern Recognition</i>. IEEE; 2023:24364-24373. doi:<a href="https://doi.org/10.1109/cvpr52729.2023.02334">10.1109/cvpr52729.2023.02334</a>'
  apa: 'Iofinova, E. B., Krumes, A., &#38; Alistarh, D.-A. (2023). Bias in pruned
    vision models: In-depth analysis and countermeasures. In <i>2023 IEEE/CVF Conference
    on Computer Vision and Pattern Recognition</i> (pp. 24364–24373). Vancouver, BC,
    Canada: IEEE. <a href="https://doi.org/10.1109/cvpr52729.2023.02334">https://doi.org/10.1109/cvpr52729.2023.02334</a>'
  chicago: 'Iofinova, Eugenia B, Alexandra Krumes, and Dan-Adrian Alistarh. “Bias
    in Pruned Vision Models: In-Depth Analysis and Countermeasures.” In <i>2023 IEEE/CVF
    Conference on Computer Vision and Pattern Recognition</i>, 24364–73. IEEE, 2023.
    <a href="https://doi.org/10.1109/cvpr52729.2023.02334">https://doi.org/10.1109/cvpr52729.2023.02334</a>.'
  ieee: 'E. B. Iofinova, A. Krumes, and D.-A. Alistarh, “Bias in pruned vision models:
    In-depth analysis and countermeasures,” in <i>2023 IEEE/CVF Conference on Computer
    Vision and Pattern Recognition</i>, Vancouver, BC, Canada, 2023, pp. 24364–24373.'
  ista: 'Iofinova EB, Krumes A, Alistarh D-A. 2023. Bias in pruned vision models:
    In-depth analysis and countermeasures. 2023 IEEE/CVF Conference on Computer Vision
    and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition,
    24364–24373.'
  mla: 'Iofinova, Eugenia B., et al. “Bias in Pruned Vision Models: In-Depth Analysis
    and Countermeasures.” <i>2023 IEEE/CVF Conference on Computer Vision and Pattern
    Recognition</i>, IEEE, 2023, pp. 24364–73, doi:<a href="https://doi.org/10.1109/cvpr52729.2023.02334">10.1109/cvpr52729.2023.02334</a>.'
  short: E.B. Iofinova, A. Krumes, D.-A. Alistarh, in:, 2023 IEEE/CVF Conference on
    Computer Vision and Pattern Recognition, IEEE, 2023, pp. 24364–24373.
conference:
  end_date: 2023-06-24
  location: Vancouver, BC, Canada
  name: 'CVPR: Conference on Computer Vision and Pattern Recognition'
  start_date: 2023-06-17
corr_author: '1'
date_created: 2024-01-10T08:42:40Z
date_published: 2023-08-22T00:00:00Z
date_updated: 2026-07-27T12:50:03Z
day: '22'
department:
- _id: DaAl
- _id: ChLa
doi: 10.1109/cvpr52729.2023.02334
ec_funded: 1
external_id:
  arxiv:
  - '2304.12622'
  isi:
  - '001062531308068'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2304.12622
month: '08'
oa: 1
oa_version: Preprint
page: 24364-24373
project:
- _id: 9B9290DE-BA93-11EA-9121-9846C619BF3A
  grant_number: W1260-N35
  name: Vienna Graduate School on Computational Optimization
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
publication: 2023 IEEE/CVF Conference on Computer Vision and Pattern Recognition
publication_identifier:
  eisbn:
  - '9798350301298'
  eissn:
  - 2575-7075
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
  link:
  - relation: software
    url: https://github.com/IST-DASLab/pruned-vision-model-bias
  record:
  - id: '21854'
    relation: dissertation_contains
    status: public
status: public
title: 'Bias in pruned vision models: In-depth analysis and countermeasures'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12787'
abstract:
- lang: eng
  text: "Populations evolve in spatially heterogeneous environments. While a certain
    trait might bring a fitness advantage in some patch of the environment, a different
    trait might be advantageous in another patch. Here, we study the Moran birth–death
    process with two types of individuals in a population stretched across two patches
    of size N, each patch favouring one of the two types. We show that the long-term
    fate of such populations crucially depends on the migration rate μ\r\n between
    the patches. To classify the possible fates, we use the distinction between polynomial
    (short) and exponential (long) timescales. We show that when μ is high then one
    of the two types fixates on the whole population after a number of steps that
    is only polynomial in N. By contrast, when μ is low then each type holds majority
    in the patch where it is favoured for a number of steps that is at least exponential
    in N. Moreover, we precisely identify the threshold migration rate μ⋆ that separates
    those two scenarios, thereby exactly delineating the situations that support long-term
    coexistence of the two types. We also discuss the case of various cycle graphs
    and we present computer simulations that perfectly match our analytical results."
acknowledgement: J.S. and K.C. acknowledge support from the ERC CoG 863818 (ForM-SMArt)
article_number: '20220685'
article_processing_charge: No
article_type: original
author:
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Josef
  full_name: Tkadlec, Josef
  id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
  last_name: Tkadlec
  orcid: 0000-0002-1097-9684
- first_name: Kamran
  full_name: Kaveh, Kamran
  last_name: Kaveh
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. Coexistence times in the Moran
    process with environmental heterogeneity. <i>Proceedings of the Royal Society
    A: Mathematical, Physical and Engineering Sciences</i>. 2023;479(2271). doi:<a
    href="https://doi.org/10.1098/rspa.2022.0685">10.1098/rspa.2022.0685</a>'
  apa: 'Svoboda, J., Tkadlec, J., Kaveh, K., &#38; Chatterjee, K. (2023). Coexistence
    times in the Moran process with environmental heterogeneity. <i>Proceedings of
    the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The
    Royal Society. <a href="https://doi.org/10.1098/rspa.2022.0685">https://doi.org/10.1098/rspa.2022.0685</a>'
  chicago: 'Svoboda, Jakub, Josef Tkadlec, Kamran Kaveh, and Krishnendu Chatterjee.
    “Coexistence Times in the Moran Process with Environmental Heterogeneity.” <i>Proceedings
    of the Royal Society A: Mathematical, Physical and Engineering Sciences</i>. The
    Royal Society, 2023. <a href="https://doi.org/10.1098/rspa.2022.0685">https://doi.org/10.1098/rspa.2022.0685</a>.'
  ieee: 'J. Svoboda, J. Tkadlec, K. Kaveh, and K. Chatterjee, “Coexistence times in
    the Moran process with environmental heterogeneity,” <i>Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences</i>, vol. 479, no.
    2271. The Royal Society, 2023.'
  ista: 'Svoboda J, Tkadlec J, Kaveh K, Chatterjee K. 2023. Coexistence times in the
    Moran process with environmental heterogeneity. Proceedings of the Royal Society
    A: Mathematical, Physical and Engineering Sciences. 479(2271), 20220685.'
  mla: 'Svoboda, Jakub, et al. “Coexistence Times in the Moran Process with Environmental
    Heterogeneity.” <i>Proceedings of the Royal Society A: Mathematical, Physical
    and Engineering Sciences</i>, vol. 479, no. 2271, 20220685, The Royal Society,
    2023, doi:<a href="https://doi.org/10.1098/rspa.2022.0685">10.1098/rspa.2022.0685</a>.'
  short: 'J. Svoboda, J. Tkadlec, K. Kaveh, K. Chatterjee, Proceedings of the Royal
    Society A: Mathematical, Physical and Engineering Sciences 479 (2023).'
date_created: 2023-04-02T22:01:09Z
date_published: 2023-03-29T00:00:00Z
date_updated: 2026-07-27T12:52:03Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rspa.2022.0685
ec_funded: 1
external_id:
  isi:
  - '000957125500002'
file:
- access_level: open_access
  checksum: 13953d349fbefcb5d21ccc6b303297eb
  content_type: application/pdf
  creator: dernst
  date_created: 2023-04-03T06:25:29Z
  date_updated: 2023-04-03T06:25:29Z
  file_id: '12796'
  file_name: 2023_ProceedingsRoyalSocietyA_Svoboda.pdf
  file_size: 827784
  relation: main_file
  success: 1
file_date_updated: 2023-04-03T06:25:29Z
has_accepted_license: '1'
intvolume: '       479'
isi: 1
issue: '2271'
language:
- iso: eng
month: '03'
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: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering
  Sciences'
publication_identifier:
  eissn:
  - 1471-2946
  issn:
  - 1364-5021
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
related_material:
  link:
  - relation: research_data
    url: https://doi.org/10.6084/m9.figshare.21261771.v1
  record:
  - id: '20138'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: Coexistence times in the Moran process with environmental heterogeneity
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: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 479
year: '2023'
...
---
_id: '12762'
abstract:
- lang: eng
  text: Neurons in the brain are wired into adaptive networks that exhibit collective
    dynamics as diverse as scale-specific oscillations and scale-free neuronal avalanches.
    Although existing models account for oscillations and avalanches separately, they
    typically do not explain both phenomena, are too complex to analyze analytically
    or intractable to infer from data rigorously. Here we propose a feedback-driven
    Ising-like class of neural networks that captures avalanches and oscillations
    simultaneously and quantitatively. In the simplest yet fully microscopic model
    version, we can analytically compute the phase diagram and make direct contact
    with human brain resting-state activity recordings via tractable inference of
    the model’s two essential parameters. The inferred model quantitatively captures
    the dynamics over a broad range of scales, from single sensor oscillations to
    collective behaviors of extreme events and neuronal avalanches. Importantly, the
    inferred parameters indicate that the co-existence of scale-specific (oscillations)
    and scale-free (avalanches) dynamics occurs close to a non-equilibrium critical
    point at the onset of self-sustained oscillations.
acknowledgement: This research was funded in whole, or in part, by the Austrian Science
  Fund (FWF) (grant no. PT1013M03318 to F.L. and no. P34015 to G.T.). For the purpose
  of open access, the author has applied a CC BY public copyright licence to any Author
  Accepted Manuscript version arising from this submission. The study was supported
  by the European Union Horizon 2020 research and innovation program under the Marie
  Sklodowska-Curie action (grant agreement No. 754411 to F.L.).
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Fabrizio
  full_name: Lombardi, Fabrizio
  id: A057D288-3E88-11E9-986D-0CF4E5697425
  last_name: Lombardi
  orcid: 0000-0003-2623-5249
- first_name: Selver
  full_name: Pepic, Selver
  id: F93245C4-C3CA-11E9-B4F0-C6F4E5697425
  last_name: Pepic
- first_name: Oren
  full_name: Shriki, Oren
  last_name: Shriki
- first_name: Gašper
  full_name: Tkačik, Gašper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkačik
  orcid: 0000-0002-6699-1455
- first_name: Daniele
  full_name: De Martino, Daniele
  id: 3FF5848A-F248-11E8-B48F-1D18A9856A87
  last_name: De Martino
  orcid: 0000-0002-5214-4706
citation:
  ama: Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. Statistical modeling
    of adaptive neural networks explains co-existence of avalanches and oscillations
    in resting human brain. <i>Nature Computational Science</i>. 2023;3:254-263. doi:<a
    href="https://doi.org/10.1038/s43588-023-00410-9">10.1038/s43588-023-00410-9</a>
  apa: Lombardi, F., Pepic, S., Shriki, O., Tkačik, G., &#38; De Martino, D. (2023).
    Statistical modeling of adaptive neural networks explains co-existence of avalanches
    and oscillations in resting human brain. <i>Nature Computational Science</i>.
    Springer Nature. <a href="https://doi.org/10.1038/s43588-023-00410-9">https://doi.org/10.1038/s43588-023-00410-9</a>
  chicago: Lombardi, Fabrizio, Selver Pepic, Oren Shriki, Gašper Tkačik, and Daniele
    De Martino. “Statistical Modeling of Adaptive Neural Networks Explains Co-Existence
    of Avalanches and Oscillations in Resting Human Brain.” <i>Nature Computational
    Science</i>. Springer Nature, 2023. <a href="https://doi.org/10.1038/s43588-023-00410-9">https://doi.org/10.1038/s43588-023-00410-9</a>.
  ieee: F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, and D. De Martino, “Statistical
    modeling of adaptive neural networks explains co-existence of avalanches and oscillations
    in resting human brain,” <i>Nature Computational Science</i>, vol. 3. Springer
    Nature, pp. 254–263, 2023.
  ista: Lombardi F, Pepic S, Shriki O, Tkačik G, De Martino D. 2023. Statistical modeling
    of adaptive neural networks explains co-existence of avalanches and oscillations
    in resting human brain. Nature Computational Science. 3, 254–263.
  mla: Lombardi, Fabrizio, et al. “Statistical Modeling of Adaptive Neural Networks
    Explains Co-Existence of Avalanches and Oscillations in Resting Human Brain.”
    <i>Nature Computational Science</i>, vol. 3, Springer Nature, 2023, pp. 254–63,
    doi:<a href="https://doi.org/10.1038/s43588-023-00410-9">10.1038/s43588-023-00410-9</a>.
  short: F. Lombardi, S. Pepic, O. Shriki, G. Tkačik, D. De Martino, Nature Computational
    Science 3 (2023) 254–263.
corr_author: '1'
date_created: 2023-03-26T22:01:08Z
date_published: 2023-03-20T00:00:00Z
date_updated: 2026-07-29T06:53:41Z
day: '20'
ddc:
- '570'
department:
- _id: GaTk
- _id: GradSch
doi: 10.1038/s43588-023-00410-9
ec_funded: 1
external_id:
  arxiv:
  - '2108.06686'
  isi:
  - '000968161800002'
  pmid:
  - '38177880'
file:
- access_level: open_access
  checksum: 7c63b2b2edfd68aaffe96d70ca6a865a
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-16T12:39:57Z
  date_updated: 2023-08-16T12:39:57Z
  file_id: '14073'
  file_name: 2023_NatureCompScience_Lombardi.pdf
  file_size: 4474284
  relation: main_file
  success: 1
file_date_updated: 2023-08-16T12:39:57Z
has_accepted_license: '1'
intvolume: '         3'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 254-263
pmid: 1
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: eb943429-77a9-11ec-83b8-9f471cdf5c67
  grant_number: M03318
  name: Functional Advantages of Critical Brain Dynamics
- _id: 626c45b5-2b32-11ec-9570-e509828c1ba6
  grant_number: P34015
  name: Efficient coding with biophysical realism
publication: Nature Computational Science
publication_identifier:
  eissn:
  - 2662-8457
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '10912'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Statistical modeling of adaptive neural networks explains co-existence of avalanches
  and oscillations in resting human brain
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: 3
year: '2023'
...
---
OA_place: repository
_id: '13312'
abstract:
- lang: eng
  text: "Superconductor/semiconductor hybrid devices have attracted increasing\r\ninterest
    in the past years. Superconducting electronics aims to complement\r\nsemiconductor
    technology, while hybrid architectures are at the forefront of\r\nnew ideas such
    as topological superconductivity and protected qubits. In this\r\nwork, we engineer
    the induced superconductivity in two-dimensional germanium\r\nhole gas by varying
    the distance between the quantum well and the aluminum. We\r\ndemonstrate a hard
    superconducting gap and realize an electrically and flux\r\ntunable superconducting
    diode using a superconducting quantum interference\r\ndevice (SQUID). This allows
    to tune the current phase relation (CPR), to a\r\nregime where single Cooper pair
    tunneling is suppressed, creating a $ \\sin\r\n\\left( 2 \\varphi \\right)$ CPR.
    Shapiro experiments complement this\r\ninterpretation and the microwave drive
    allows to create a diode with $ \\approx\r\n100 \\%$ efficiency. The reported
    results open up the path towards monolithic\r\nintegration of spin qubit devices,
    microwave resonators and (protected)\r\nsuperconducting qubits on a silicon technology
    compatible platform."
acknowledged_ssus:
- _id: M-Shop
- _id: NanoFab
acknowledgement: "The authors acknowledge Alexander Brinkmann, Alessandro Crippa,
  Andrew Higginbotham, Andrea Iorio, Giordano\r\nScappucci and Christian Schonenberger
  for helpful discussions. We thank Marcel Verheijen for the support in the\r\nTEM
  analysis. This research and related results were made\r\npossible with the support
  of the NOMIS Foundation. It was\r\nsupported by the Scientific Service Units of
  ISTA through resources provided by the MIBA Machine Shop and the\r\nnanofabrication
  facility, the European Union’s Horizon 2020\r\nresearch and innovation programme
  under Grant Agreement\r\nNo 862046, the HORIZON-RIA 101069515 project and the\r\nFWF
  Projects #P-32235, #P-36507 and #F-8606. R.S.S.\r\nacknowledges Spanish CM “Talento
  Program” Project No.\r\n2022-T1/IND-24070."
article_number: '2306.07109'
article_processing_charge: No
arxiv: 1
author:
- first_name: Marco
  full_name: Valentini, Marco
  id: C0BB2FAC-D767-11E9-B658-BC13E6697425
  last_name: Valentini
- first_name: Oliver
  full_name: Sagi, Oliver
  id: 71616374-A8E9-11E9-A7CA-09ECE5697425
  last_name: Sagi
- first_name: Levon
  full_name: Baghumyan, Levon
  last_name: Baghumyan
- first_name: Thijs de
  full_name: Gijsel, Thijs de
  last_name: Gijsel
- first_name: Jason
  full_name: Jung, Jason
  id: 4C9ACE7A-F248-11E8-B48F-1D18A9856A87
  last_name: Jung
- first_name: Stefano
  full_name: Calcaterra, Stefano
  last_name: Calcaterra
- first_name: Andrea
  full_name: Ballabio, Andrea
  last_name: Ballabio
- first_name: Juan Aguilera
  full_name: Servin, Juan Aguilera
  last_name: Servin
- first_name: Kushagra
  full_name: Aggarwal, Kushagra
  id: b22ab905-3539-11eb-84c3-fc159dcd79cb
  last_name: Aggarwal
  orcid: 0000-0001-9985-9293
- first_name: Marian
  full_name: Janik, Marian
  id: 396A1950-F248-11E8-B48F-1D18A9856A87
  last_name: Janik
  orcid: 0009-0003-9037-8831
- first_name: Thomas
  full_name: Adletzberger, Thomas
  id: 38756BB2-F248-11E8-B48F-1D18A9856A87
  last_name: Adletzberger
- first_name: Rubén Seoane
  full_name: Souto, Rubén Seoane
  last_name: Souto
- first_name: Martin
  full_name: Leijnse, Martin
  last_name: Leijnse
- first_name: Jeroen
  full_name: Danon, Jeroen
  last_name: Danon
- first_name: Constantin
  full_name: Schrade, Constantin
  last_name: Schrade
- first_name: Erik
  full_name: Bakkers, Erik
  last_name: Bakkers
- first_name: Daniel
  full_name: Chrastina, Daniel
  last_name: Chrastina
- first_name: Giovanni
  full_name: Isella, Giovanni
  last_name: Isella
- first_name: Georgios
  full_name: Katsaros, Georgios
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
  orcid: 0000-0001-8342-202X
citation:
  ama: Valentini M, Sagi O, Baghumyan L, et al. Radio frequency driven superconducting
    diode and parity conserving  Cooper pair transport in a two-dimensional germanium
    hole gas. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2306.07109">10.48550/arXiv.2306.07109</a>
  apa: Valentini, M., Sagi, O., Baghumyan, L., Gijsel, T. de, Jung, J., Calcaterra,
    S., … Katsaros, G. (n.d.). Radio frequency driven superconducting diode and parity
    conserving  Cooper pair transport in a two-dimensional germanium hole gas. <i>arXiv</i>.
    <a href="https://doi.org/10.48550/arXiv.2306.07109">https://doi.org/10.48550/arXiv.2306.07109</a>
  chicago: Valentini, Marco, Oliver Sagi, Levon Baghumyan, Thijs de Gijsel, Jason
    Jung, Stefano Calcaterra, Andrea Ballabio, et al. “Radio Frequency Driven Superconducting
    Diode and Parity Conserving  Cooper Pair Transport in a Two-Dimensional Germanium
    Hole Gas.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2306.07109">https://doi.org/10.48550/arXiv.2306.07109</a>.
  ieee: M. Valentini <i>et al.</i>, “Radio frequency driven superconducting diode
    and parity conserving  Cooper pair transport in a two-dimensional germanium hole
    gas,” <i>arXiv</i>. .
  ista: Valentini M, Sagi O, Baghumyan L, Gijsel T de, Jung J, Calcaterra S, Ballabio
    A, Servin JA, Aggarwal K, Janik M, Adletzberger T, Souto RS, Leijnse M, Danon
    J, Schrade C, Bakkers E, Chrastina D, Isella G, Katsaros G. Radio frequency driven
    superconducting diode and parity conserving  Cooper pair transport in a two-dimensional
    germanium hole gas. arXiv, 2306.07109.
  mla: Valentini, Marco, et al. “Radio Frequency Driven Superconducting Diode and
    Parity Conserving  Cooper Pair Transport in a Two-Dimensional Germanium Hole Gas.”
    <i>ArXiv</i>, 2306.07109, doi:<a href="https://doi.org/10.48550/arXiv.2306.07109">10.48550/arXiv.2306.07109</a>.
  short: M. Valentini, O. Sagi, L. Baghumyan, T. de Gijsel, J. Jung, S. Calcaterra,
    A. Ballabio, J.A. Servin, K. Aggarwal, M. Janik, T. Adletzberger, R.S. Souto,
    M. Leijnse, J. Danon, C. Schrade, E. Bakkers, D. Chrastina, G. Isella, G. Katsaros,
    ArXiv (n.d.).
corr_author: '1'
date_created: 2023-07-26T11:17:20Z
date_published: 2023-06-13T00:00:00Z
date_updated: 2026-07-29T07:04:55Z
day: '13'
ddc:
- '530'
department:
- _id: GeKa
- _id: M-Shop
doi: 10.48550/arXiv.2306.07109
ec_funded: 1
external_id:
  arxiv:
  - '2306.07109'
keyword:
- Mesoscale and Nanoscale Physics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2306.07109
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 237E5020-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '862046'
  name: TOPOLOGICALLY PROTECTED AND SCALABLE QUANTUM BITS
- _id: 237B3DA4-32DE-11EA-91FC-C7463DDC885E
  call_identifier: FWF
  grant_number: P32235
  name: Towards scalable hut wire quantum devices
- _id: bd8bd29e-d553-11ed-ba76-f0070d4b237a
  grant_number: P36507
  name: Merging spin and superconducting qubits in planar Ge
- _id: 34a66131-11ca-11ed-8bc3-a31681c6b03e
  grant_number: F8606
  name: 'Center for Correlated Quantum Materials and Solid State Quantum Systems:
    Conventional  and unconventional topological superconductors'
- _id: eb9b30ac-77a9-11ec-83b8-871f581d53d2
  name: Protected states of quantum matter
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '13286'
    relation: dissertation_contains
    status: public
  - id: '14793'
    relation: later_version
    status: public
status: public
title: Radio frequency driven superconducting diode and parity conserving  Cooper
  pair transport in a two-dimensional germanium hole gas
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: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
OA_place: repository
OA_type: green
_id: '13340'
abstract:
- lang: eng
  text: Photoisomerization of azobenzenes from their stable E isomer to the metastable
    Z state is the basis of numerous applications of these molecules. However, this
    reaction typically requires ultraviolet light, which limits applicability. In
    this study, we introduce disequilibration by sensitization under confinement (DESC),
    a supramolecular approach to induce the E-to-Z isomerization by using light of
    a desired color, including red. DESC relies on a combination of a macrocyclic
    host and a photosensitizer, which act together to selectively bind and sensitize
    E-azobenzenes for isomerization. The Z isomer lacks strong affinity for and is
    expelled from the host, which can then convert additional E-azobenzenes to the
    Z state. In this way, the host–photosensitizer complex converts photon energy
    into chemical energy in the form of out-of-equilibrium photostationary states,
    including ones that cannot be accessed through direct photoexcitation.
acknowledgement: We acknowledge funding from the European Union’s Horizon 2020 Research
  and Innovation Program [European Research Council grants 820008 (Ra.K.) and 101045223
  (A.P.) and Marie Skłodowska-Curie grants 812868 (J.G.) and 101022777 (T.-P.R.)],
  the Academy of Finland [Center of Excellence Programme LIBER grant 346107 (A.P.),
  Flagship Programme PREIN grant 320165 (A.P.), and Postdoctoral Researcher grant
  340103 (T.-P.R.)], Zuckerman STEM Leadership Program Fellowship (J.R.C.), President’s
  PhD Scholarship (M.O.), and the EPSRC [Established Career Fellowship grant EP/R00188X/1
  (M.J.F.)].
article_processing_charge: No
article_type: original
author:
- first_name: Julius
  full_name: Gemen, Julius
  last_name: Gemen
- first_name: Jonathan R.
  full_name: Church, Jonathan R.
  last_name: Church
- first_name: Tero-Petri
  full_name: Ruoko, Tero-Petri
  last_name: Ruoko
- first_name: Nikita
  full_name: Durandin, Nikita
  last_name: Durandin
- first_name: Michał J.
  full_name: Białek, Michał J.
  last_name: Białek
- first_name: Maren
  full_name: Weissenfels, Maren
  last_name: Weissenfels
- first_name: Moran
  full_name: Feller, Moran
  last_name: Feller
- first_name: Miri
  full_name: Kazes, Miri
  last_name: Kazes
- first_name: Veniamin A.
  full_name: Borin, Veniamin A.
  last_name: Borin
- first_name: Magdalena
  full_name: Odaybat, Magdalena
  last_name: Odaybat
- first_name: Rishir
  full_name: Kalepu, Rishir
  last_name: Kalepu
- first_name: Yael
  full_name: Diskin-Posner, Yael
  last_name: Diskin-Posner
- first_name: Dan
  full_name: Oron, Dan
  last_name: Oron
- first_name: Matthew J.
  full_name: Fuchter, Matthew J.
  last_name: Fuchter
- first_name: Arri
  full_name: Priimagi, Arri
  last_name: Priimagi
- first_name: Igor
  full_name: Schapiro, Igor
  last_name: Schapiro
- first_name: Rafal
  full_name: Klajn, Rafal
  id: 8e84690e-1e48-11ed-a02b-a1e6fb8bb53b
  last_name: Klajn
chemrxivid: 1
citation:
  ama: Gemen J, Church JR, Ruoko T-P, et al. Disequilibrating azoarenes by visible-light
    sensitization under confinement. <i>Science</i>. 2023;381(6664):1357-1363. doi:<a
    href="https://doi.org/10.1126/science.adh9059">10.1126/science.adh9059</a>
  apa: Gemen, J., Church, J. R., Ruoko, T.-P., Durandin, N., Białek, M. J., Weissenfels,
    M., … Klajn, R. (2023). Disequilibrating azoarenes by visible-light sensitization
    under confinement. <i>Science</i>. American Association for the Advancement of
    Science. <a href="https://doi.org/10.1126/science.adh9059">https://doi.org/10.1126/science.adh9059</a>
  chicago: Gemen, Julius, Jonathan R. Church, Tero-Petri Ruoko, Nikita Durandin, Michał
    J. Białek, Maren Weissenfels, Moran Feller, et al. “Disequilibrating Azoarenes
    by Visible-Light Sensitization under Confinement.” <i>Science</i>. American Association
    for the Advancement of Science, 2023. <a href="https://doi.org/10.1126/science.adh9059">https://doi.org/10.1126/science.adh9059</a>.
  ieee: J. Gemen <i>et al.</i>, “Disequilibrating azoarenes by visible-light sensitization
    under confinement,” <i>Science</i>, vol. 381, no. 6664. American Association for
    the Advancement of Science, pp. 1357–1363, 2023.
  ista: Gemen J, Church JR, Ruoko T-P, Durandin N, Białek MJ, Weissenfels M, Feller
    M, Kazes M, Borin VA, Odaybat M, Kalepu R, Diskin-Posner Y, Oron D, Fuchter MJ,
    Priimagi A, Schapiro I, Klajn R. 2023. Disequilibrating azoarenes by visible-light
    sensitization under confinement. Science. 381(6664), 1357–1363.
  mla: Gemen, Julius, et al. “Disequilibrating Azoarenes by Visible-Light Sensitization
    under Confinement.” <i>Science</i>, vol. 381, no. 6664, American Association for
    the Advancement of Science, 2023, pp. 1357–63, doi:<a href="https://doi.org/10.1126/science.adh9059">10.1126/science.adh9059</a>.
  short: J. Gemen, J.R. Church, T.-P. Ruoko, N. Durandin, M.J. Białek, M. Weissenfels,
    M. Feller, M. Kazes, V.A. Borin, M. Odaybat, R. Kalepu, Y. Diskin-Posner, D. Oron,
    M.J. Fuchter, A. Priimagi, I. Schapiro, R. Klajn, Science 381 (2023) 1357–1363.
corr_author: '1'
date_created: 2023-08-01T08:26:15Z
date_published: 2023-09-22T00:00:00Z
date_updated: 2026-07-29T05:48:56Z
day: '22'
department:
- _id: RaKl
doi: 10.1126/science.adh9059
ec_funded: 1
external_id:
  chemrxivid:
  - 10.26434/chemrxiv-2023-gq2h0
  isi:
  - '001100654900035'
  pmid:
  - '37733864'
intvolume: '       381'
isi: 1
issue: '6664'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.26434/chemrxiv-2023-gq2h0
month: '09'
oa: 1
oa_version: Preprint
page: 1357-1363
pmid: 1
project:
- _id: 7bef070e-9f16-11ee-852c-db9675e131d9
  call_identifier: H2020
  grant_number: '820008'
  name: 'Dissipative self-assembly in synthetic systems: Towards life-like materials'
publication: Science
publication_identifier:
  eissn:
  - 1095-9203
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Disequilibrating azoarenes by visible-light sensitization under confinement
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 381
year: '2023'
...
---
OA_place: publisher
OA_type: gold
_id: '14210'
abstract:
- lang: eng
  text: Research on recovering the latent factors of variation of high dimensional
    data has so far focused on simple synthetic settings. Mostly building on unsupervised
    and weakly-supervised objectives, prior work missed out on the positive implications
    for representation learning on real world data. In this work, we propose to leverage
    knowledge extracted from a diversified set of supervised tasks to learn a common
    disentangled representation. Assuming that each supervised task only depends on
    an unknown subset of the factors of variation, we disentangle the feature space
    of a supervised multi-task model, with features activating sparsely across different
    tasks and information being shared as appropriate. Importantly, we never directly
    observe the factors of variations, but establish that access to multiple tasks
    is sufficient for identifiability under sufficiency and minimality assumptions.
    We validate our approach on six real world distribution shift benchmarks, and
    different data modalities (images, text), demonstrating how disentangled representations
    can be transferred to real settings.
acknowledgement: "Marco Fumero and Emanuele Rodolà were supported by the ERC grant
  no.802554 (SPECGEO),\r\nPRIN 2020 project no.2020TA3K9N (LEGO.AI), and PNRR MUR
  project PE0000013-FAIR. Marco\r\nFumero and Francesco Locatello were partially at
  Amazon while working at this project. We thank\r\nJulius von Kügelgen, Sebastian
  Lachapelle and the anonymous reviewers for their feedback and\r\nsuggestions."
alternative_title:
- Advances in Neural Information Processing Systems
article_number: '1204'
article_processing_charge: No
arxiv: 1
author:
- first_name: Marco
  full_name: Fumero, Marco
  last_name: Fumero
- first_name: Florian
  full_name: Wenzel, Florian
  last_name: Wenzel
- first_name: Luca
  full_name: Zancato, Luca
  last_name: Zancato
- first_name: Alessandro
  full_name: Achille, Alessandro
  last_name: Achille
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
- first_name: Stefano
  full_name: Soatto, Stefano
  last_name: Soatto
- first_name: Bernhard
  full_name: Schölkopf, Bernhard
  last_name: Schölkopf
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
citation:
  ama: 'Fumero M, Wenzel F, Zancato L, et al. Leveraging sparse and shared feature
    activations for disentangled representation learning. In: <i>37th International
    Conference on Neural Information Processing Systems</i>. Vol 36. Neural Information
    Processing Systems Foundation; 2023.'
  apa: 'Fumero, M., Wenzel, F., Zancato, L., Achille, A., Rodolà, E., Soatto, S.,
    … Locatello, F. (2023). Leveraging sparse and shared feature activations for disentangled
    representation learning. In <i>37th International Conference on Neural Information
    Processing Systems</i> (Vol. 36). New Orleans, LA, United States: Neural Information
    Processing Systems Foundation.'
  chicago: Fumero, Marco, Florian Wenzel, Luca Zancato, Alessandro Achille, Emanuele
    Rodolà, Stefano Soatto, Bernhard Schölkopf, and Francesco Locatello. “Leveraging
    Sparse and Shared Feature Activations for Disentangled Representation Learning.”
    In <i>37th International Conference on Neural Information Processing Systems</i>,
    Vol. 36. Neural Information Processing Systems Foundation, 2023.
  ieee: M. Fumero <i>et al.</i>, “Leveraging sparse and shared feature activations
    for disentangled representation learning,” in <i>37th International Conference
    on Neural Information Processing Systems</i>, New Orleans, LA, United States,
    2023, vol. 36.
  ista: 'Fumero M, Wenzel F, Zancato L, Achille A, Rodolà E, Soatto S, Schölkopf B,
    Locatello F. 2023. Leveraging sparse and shared feature activations for disentangled
    representation learning. 37th International Conference on Neural Information Processing
    Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information
    Processing Systems, vol. 36, 1204.'
  mla: Fumero, Marco, et al. “Leveraging Sparse and Shared Feature Activations for
    Disentangled Representation Learning.” <i>37th International Conference on Neural
    Information Processing Systems</i>, vol. 36, 1204, Neural Information Processing
    Systems Foundation, 2023.
  short: M. Fumero, F. Wenzel, L. Zancato, A. Achille, E. Rodolà, S. Soatto, B. Schölkopf,
    F. Locatello, in:, 37th International Conference on Neural Information Processing
    Systems, Neural Information Processing Systems Foundation, 2023.
conference:
  end_date: 2023-12-16
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2023-12-10
corr_author: '1'
das_tickbox: '0'
date_created: 2023-08-22T14:19:03Z
date_published: 2023-12-10T00:00:00Z
date_updated: 2026-07-29T08:02:05Z
day: '10'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2304.07939'
file:
- access_level: open_access
  checksum: c70e8a74e205528750c71996ba39c6c1
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-29T07:58:19Z
  date_updated: 2026-07-29T07:58:19Z
  file_id: '22604'
  file_name: 2026_Neurips_Fumero.pdf
  file_size: 1466102
  relation: main_file
  success: 1
file_date_updated: 2026-07-29T07:58:19Z
has_accepted_license: '1'
intvolume: '        36'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
publication: 37th International Conference on Neural Information Processing Systems
publication_identifier:
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: no
title: Leveraging sparse and shared feature activations for disentangled representation
  learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2023'
...
---
OA_place: publisher
OA_type: gold
_id: '14952'
abstract:
- lang: eng
  text: "While different neural models often exhibit latent spaces that are alike
    when exposed to semantically related data, this intrinsic similarity is not always
    immediately discernible. Towards a better understanding of this phenomenon, our
    work shows how representations learned from these neural modules can be translated
    between different pre-trained networks via simpler transformations than previously
    thought. An advantage of this approach is the ability to\r\nestimate these transformations
    using standard, well-understood algebraic procedures that have closed-form solutions.
    Our method directly estimates a transformation between two given latent spaces,
    thereby enabling effective stitching of encoders and decoders without additional
    training. We extensively validate the adaptability of this translation procedure
    in different\r\nexperimental settings: across various trainings, domains, architectures
    (e.g., ResNet, CNN, ViT), and in multiple downstream tasks (classification, reconstruction).
    Notably, we show how it is possible to zero-shot stitch text encoders and vision
    decoders, or vice-versa, yielding surprisingly good classification performance
    in this multimodal setting."
acknowledgement: "This work is supported by the ERC grant no.802554 (SPECGEO), PRIN
  2020 project no.2020TA3K9N (LEGO.AI), and PNRR MUR project PE0000013-FAIR. Francesco\r\nLocatello
  did not contribute to this work at Amazon."
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Valentino
  full_name: Maiorca, Valentino
  last_name: Maiorca
- first_name: Luca
  full_name: Moschella, Luca
  last_name: Moschella
- first_name: Antonio
  full_name: Norelli, Antonio
  last_name: Norelli
- first_name: Marco
  full_name: Fumero, Marco
  last_name: Fumero
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Emanuele
  full_name: Rodolà, Emanuele
  last_name: Rodolà
citation:
  ama: 'Maiorca V, Moschella L, Norelli A, Fumero M, Locatello F, Rodolà E. Latent
    space translation via semantic alignment. In: <i>37th Conference on Neural Information
    Processing Systems</i>. Neural Information Processing Systems Foundation; 2023:55394-55414.
    doi:<a href="https://doi.org/10.52202/075280-2418">10.52202/075280-2418</a>'
  apa: 'Maiorca, V., Moschella, L., Norelli, A., Fumero, M., Locatello, F., &#38;
    Rodolà, E. (2023). Latent space translation via semantic alignment. In <i>37th
    Conference on Neural Information Processing Systems</i> (pp. 55394–55414). New
    Orleans, LA, United States: Neural Information Processing Systems Foundation.
    <a href="https://doi.org/10.52202/075280-2418">https://doi.org/10.52202/075280-2418</a>'
  chicago: Maiorca, Valentino, Luca Moschella, Antonio Norelli, Marco Fumero, Francesco
    Locatello, and Emanuele Rodolà. “Latent Space Translation via Semantic Alignment.”
    In <i>37th Conference on Neural Information Processing Systems</i>, 55394–414.
    Neural Information Processing Systems Foundation, 2023. <a href="https://doi.org/10.52202/075280-2418">https://doi.org/10.52202/075280-2418</a>.
  ieee: V. Maiorca, L. Moschella, A. Norelli, M. Fumero, F. Locatello, and E. Rodolà,
    “Latent space translation via semantic alignment,” in <i>37th Conference on Neural
    Information Processing Systems</i>, New Orleans, LA, United States, 2023, pp.
    55394–55414.
  ista: 'Maiorca V, Moschella L, Norelli A, Fumero M, Locatello F, Rodolà E. 2023.
    Latent space translation via semantic alignment. 37th Conference on Neural Information
    Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in
    Neural Information Processing Systems, , 55394–55414.'
  mla: Maiorca, Valentino, et al. “Latent Space Translation via Semantic Alignment.”
    <i>37th Conference on Neural Information Processing Systems</i>, Neural Information
    Processing Systems Foundation, 2023, pp. 55394–414, doi:<a href="https://doi.org/10.52202/075280-2418">10.52202/075280-2418</a>.
  short: V. Maiorca, L. Moschella, A. Norelli, M. Fumero, F. Locatello, E. Rodolà,
    in:, 37th Conference on Neural Information Processing Systems, Neural Information
    Processing Systems Foundation, 2023, pp. 55394–55414.
conference:
  end_date: 2026-12-16
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2023-12-10
das_tickbox: '0'
date_created: 2024-02-07T15:08:55Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2026-07-29T08:24:56Z
day: '01'
ddc:
- '000'
department:
- _id: FrLo
doi: 10.52202/075280-2418
external_id:
  arxiv:
  - '2311.00664'
file:
- access_level: open_access
  checksum: 44ec045f30f8e25ce1c8ee70feffc9b4
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-29T08:23:16Z
  date_updated: 2026-07-29T08:23:16Z
  file_id: '22606'
  file_name: 2023_Neurips_Malorca.pdf
  file_size: 4858561
  relation: main_file
  success: 1
file_date_updated: 2026-07-29T08:23:16Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 55394-55414
publication: 37th Conference on Neural Information Processing Systems
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: yes
title: Latent space translation via semantic alignment
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
OA_place: publisher
OA_type: gold
_id: '14207'
abstract:
- lang: eng
  text: The binding problem in human cognition, concerning how the brain represents
    and connects objects within a fixed network of neural connections, remains a subject
    of intense debate. Most machine learning efforts addressing this issue in an unsupervised
    setting have focused on slot-based methods, which may be limiting due to their
    discrete nature and difficulty to express uncertainty. Recently, the Complex AutoEncoder
    was proposed as an alternative that learns continuous and distributed object-centric
    representations. However, it is only applicable to simple toy data. In this paper,
    we present Rotating Features, a generalization of complex-valued features to higher
    dimensions, and a new evaluation procedure for extracting objects from distributed
    representations. Additionally, we show the applicability of our approach to pre-trained
    features. Together, these advancements enable us to scale distributed object-centric
    representations from simple toy to real-world data. We believe this work advances
    a new paradigm for addressing the binding problem in machine learning and has
    the potential to inspire further innovation in the field.
acknowledgement: "We thank Jascha Sohl-Dickstein and Sjoerd van Steenkiste for insightful
  discussions. Francesco\r\nLocatello worked on this paper outside of Amazon. Sindy
  Lowe was supported by the Google PhD ¨Fellowship.\r\n"
alternative_title:
- Advances in Neural Information Processing Systems
article_processing_charge: No
arxiv: 1
author:
- first_name: Sindy
  full_name: Löwe, Sindy
  last_name: Löwe
- first_name: Phillip
  full_name: Lippe, Phillip
  last_name: Lippe
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Max
  full_name: Welling, Max
  last_name: Welling
citation:
  ama: 'Löwe S, Lippe P, Locatello F, Welling M. Rotating features for object discovery.
    In: <i>37th Conference on Neural Information Processing Systems</i>. Vol 36. Neural
    Information Processing Systems Foundation; 2023.'
  apa: 'Löwe, S., Lippe, P., Locatello, F., &#38; Welling, M. (2023). Rotating features
    for object discovery. In <i>37th Conference on Neural Information Processing Systems</i>
    (Vol. 36). New Orleans, LA, United States: Neural Information Processing Systems
    Foundation.'
  chicago: Löwe, Sindy, Phillip Lippe, Francesco Locatello, and Max Welling. “Rotating
    Features for Object Discovery.” In <i>37th Conference on Neural Information Processing
    Systems</i>, Vol. 36. Neural Information Processing Systems Foundation, 2023.
  ieee: S. Löwe, P. Lippe, F. Locatello, and M. Welling, “Rotating features for object
    discovery,” in <i>37th Conference on Neural Information Processing Systems</i>,
    New Orleans, LA, United States, 2023, vol. 36.
  ista: 'Löwe S, Lippe P, Locatello F, Welling M. 2023. Rotating features for object
    discovery. 37th Conference on Neural Information Processing Systems. NeurIPS:
    Neural Information Processing Systems, Advances in Neural Information Processing
    Systems, vol. 36.'
  mla: Löwe, Sindy, et al. “Rotating Features for Object Discovery.” <i>37th Conference
    on Neural Information Processing Systems</i>, vol. 36, Neural Information Processing
    Systems Foundation, 2023.
  short: S. Löwe, P. Lippe, F. Locatello, M. Welling, in:, 37th Conference on Neural
    Information Processing Systems, Neural Information Processing Systems Foundation,
    2023.
conference:
  end_date: 2023-12-16
  location: New Orleans, LA, United States
  name: 'NeurIPS: Neural Information Processing Systems'
  start_date: 2023-12-10
das_tickbox: '0'
date_created: 2023-08-22T14:18:00Z
date_published: 2023-09-21T00:00:00Z
date_updated: 2026-07-29T07:36:23Z
day: '21'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2306.00600'
file:
- access_level: open_access
  checksum: 67860dc8ce60f60cfa366baa623f6a55
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-29T07:35:33Z
  date_updated: 2026-07-29T07:35:33Z
  file_id: '22603'
  file_name: 2026_Neurips_Loewe.pdf
  file_size: 10788023
  relation: main_file
  success: 1
file_date_updated: 2026-07-29T07:35:33Z
has_accepted_license: '1'
intvolume: '        36'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: 37th Conference on Neural Information Processing Systems
publication_identifier:
  issn:
  - 1049-5258
publication_status: published
publisher: Neural Information Processing Systems Foundation
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Rotating features for object discovery
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2023'
...
---
OA_place: publisher
OA_type: gold
_id: '14948'
abstract:
- lang: eng
  text: "The extraction of modular object-centric representations for downstream tasks\r\nis
    an emerging area of research. Learning grounded representations of objects\r\nthat
    are guaranteed to be stable and invariant promises robust performance\r\nacross
    different tasks and environments. Slot Attention (SA) learns\r\nobject-centric
    representations by assigning objects to \\textit{slots}, but\r\npresupposes a
    \\textit{single} distribution from which all slots are randomly\r\ninitialised.
    This results in an inability to learn \\textit{specialized} slots\r\nwhich bind
    to specific object types and remain invariant to identity-preserving\r\nchanges
    in object appearance. To address this, we present\r\n\\emph{\\textsc{Co}nditional
    \\textsc{S}lot \\textsc{A}ttention} (\\textsc{CoSA})\r\nusing a novel concept
    of \\emph{Grounded Slot Dictionary} (GSD) inspired by\r\nvector quantization.
    Our proposed GSD comprises (i) canonical object-level\r\nproperty vectors and
    (ii) parametric Gaussian distributions, which define a\r\nprior over the slots.
    We demonstrate the benefits of our method in multiple\r\ndownstream tasks such
    as scene generation, composition, and task adaptation,\r\nwhilst remaining competitive
    with SA in popular object discovery benchmarks."
acknowledgement: "A. Kori is supported by UKRI (grant agreement no. EP/S023356/1),
  as part of the UKRI Centre\r\nfor Doctoral Training in Safe and Trusted AI. F.D.S.
  Ribeiro and B. Glocker received funding from\r\nthe European Research Council (ERC)
  under the European Union’s Horizon 2020 research and\r\ninnovation programme (grant
  agreement No 757173, project MIRA, ERC-2017-STG)."
article_processing_charge: No
arxiv: 1
author:
- first_name: Avinash
  full_name: Kori, Avinash
  last_name: Kori
- first_name: Francesco
  full_name: Locatello, Francesco
  id: 26cfd52f-2483-11ee-8040-88983bcc06d4
  last_name: Locatello
  orcid: 0000-0002-4850-0683
- first_name: Fabio De Sousa
  full_name: Ribeiro, Fabio De Sousa
  last_name: Ribeiro
- first_name: Francesca
  full_name: Toni, Francesca
  last_name: Toni
- first_name: Ben
  full_name: Glocker, Ben
  last_name: Glocker
citation:
  ama: 'Kori A, Locatello F, Ribeiro FDS, Toni F, Glocker B. Grounded object centric
    learning. In: <i>12th International Conference on Learning Representations</i>.
    ICLR; 2023.'
  apa: 'Kori, A., Locatello, F., Ribeiro, F. D. S., Toni, F., &#38; Glocker, B. (2023).
    Grounded object centric learning. In <i>12th International Conference on Learning
    Representations</i>. Vienna, Austria: ICLR.'
  chicago: Kori, Avinash, Francesco Locatello, Fabio De Sousa Ribeiro, Francesca Toni,
    and Ben Glocker. “Grounded Object Centric Learning.” In <i>12th International
    Conference on Learning Representations</i>. ICLR, 2023.
  ieee: A. Kori, F. Locatello, F. D. S. Ribeiro, F. Toni, and B. Glocker, “Grounded
    object centric learning,” in <i>12th International Conference on Learning Representations</i>,
    Vienna, Austria, 2023.
  ista: 'Kori A, Locatello F, Ribeiro FDS, Toni F, Glocker B. 2023. Grounded object
    centric learning. 12th International Conference on Learning Representations. ICLR:
    International Conference on Learning Representations.'
  mla: Kori, Avinash, et al. “Grounded Object Centric Learning.” <i>12th International
    Conference on Learning Representations</i>, ICLR, 2023.
  short: A. Kori, F. Locatello, F.D.S. Ribeiro, F. Toni, B. Glocker, in:, 12th International
    Conference on Learning Representations, ICLR, 2023.
conference:
  end_date: 2024-05-11
  location: Vienna, Austria
  name: 'ICLR: International Conference on Learning Representations'
  start_date: 2024-05-07
das_tickbox: '0'
date_created: 2024-02-07T14:47:04Z
date_published: 2023-07-18T00:00:00Z
date_updated: 2026-07-29T08:17:51Z
day: '18'
ddc:
- '000'
department:
- _id: FrLo
external_id:
  arxiv:
  - '2307.09437'
file:
- access_level: open_access
  checksum: b9687ba09b6ecfdfb319fe167ed07816
  content_type: application/pdf
  creator: dernst
  date_created: 2026-07-29T08:13:30Z
  date_updated: 2026-07-29T08:13:30Z
  file_id: '22605'
  file_name: 2024_ICLR_Kori.pdf
  file_size: 19986955
  relation: main_file
  success: 1
file_date_updated: 2026-07-29T08:13:30Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: 12th International Conference on Learning Representations
publication_status: published
publisher: ICLR
quality_controlled: '1'
researchdata_availability: no
status: public
supplementarymaterial: yes
title: Grounded object centric learning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12313'
abstract:
- lang: eng
  text: Let P be a nontorsion point on an elliptic curve defined over a number field
    K and consider the sequence {Bn}n∈N of the denominators of x(nP). We prove that
    every term of the sequence of the Bn has a primitive divisor for n greater than
    an effectively computable constant that we will explicitly compute. This constant
    will depend only on the model defining the curve.
acknowledgement: "This paper is part of the author’s PhD thesis at Università of Pisa.
  Moreover, this\r\nproject has received funding from the European Union’s Horizon
  2020 research\r\nand innovation programme under the Marie Skłodowska-Curie Grant
  Agreement\r\nNo. 101034413. I thank the referee for many helpful comments."
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Matteo
  full_name: Verzobio, Matteo
  id: 7aa8f170-131e-11ed-88e1-a9efd01027cb
  last_name: Verzobio
  orcid: 0000-0002-0854-0306
citation:
  ama: Verzobio M. Some effectivity results for primitive divisors of elliptic divisibility 
    sequences. <i>Pacific Journal of Mathematics</i>. 2023;325(2):331-351. doi:<a
    href="https://doi.org/10.2140/pjm.2023.325.331">10.2140/pjm.2023.325.331</a>
  apa: Verzobio, M. (2023). Some effectivity results for primitive divisors of elliptic
    divisibility  sequences. <i>Pacific Journal of Mathematics</i>. Mathematical Sciences
    Publishers. <a href="https://doi.org/10.2140/pjm.2023.325.331">https://doi.org/10.2140/pjm.2023.325.331</a>
  chicago: Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic
    Divisibility  Sequences.” <i>Pacific Journal of Mathematics</i>. Mathematical
    Sciences Publishers, 2023. <a href="https://doi.org/10.2140/pjm.2023.325.331">https://doi.org/10.2140/pjm.2023.325.331</a>.
  ieee: M. Verzobio, “Some effectivity results for primitive divisors of elliptic
    divisibility  sequences,” <i>Pacific Journal of Mathematics</i>, vol. 325, no.
    2. Mathematical Sciences Publishers, pp. 331–351, 2023.
  ista: Verzobio M. 2023. Some effectivity results for primitive divisors of elliptic
    divisibility  sequences. Pacific Journal of Mathematics. 325(2), 331–351.
  mla: Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic
    Divisibility  Sequences.” <i>Pacific Journal of Mathematics</i>, vol. 325, no.
    2, Mathematical Sciences Publishers, 2023, pp. 331–51, doi:<a href="https://doi.org/10.2140/pjm.2023.325.331">10.2140/pjm.2023.325.331</a>.
  short: M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-01-16T11:46:19Z
date_published: 2023-11-03T00:00:00Z
date_updated: 2026-07-29T10:07:53Z
day: '03'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.2140/pjm.2023.325.331
ec_funded: 1
external_id:
  arxiv:
  - '2001.02987'
  isi:
  - '001104766900001'
file:
- access_level: open_access
  checksum: b6218d16a72742d8bb38d6fc3c9bb8c6
  content_type: application/pdf
  creator: dernst
  date_created: 2023-11-13T09:50:41Z
  date_updated: 2023-11-13T09:50:41Z
  file_id: '14525'
  file_name: 2023_PacificJourMaths_Verzobio.pdf
  file_size: 389897
  relation: main_file
  success: 1
file_date_updated: 2023-11-13T09:50:41Z
has_accepted_license: '1'
intvolume: '       325'
isi: 1
issue: '2'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 331-351
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: Pacific Journal of Mathematics
publication_identifier:
  eissn:
  - 0030-8730
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Some effectivity results for primitive divisors of elliptic divisibility  sequences
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: 325
year: '2023'
...
---
_id: '14245'
abstract:
- lang: eng
  text: We establish effective counting results for lattice points in families of
    domains in real, complex and quaternionic hyperbolic spaces of any dimension.
    The domains we focus on are defined as product sets with respect to an Iwasawa
    decomposition. Several natural diophantine problems can be reduced to counting
    lattice points in such domains. These include equidistribution of the ratio of
    the length of the shortest solution (x,y) to the gcd equation bx−ay=1 relative
    to the length of (a,b), where (a,b) ranges over primitive vectors in a disc whose
    radius increases, the natural analog of this problem in imaginary quadratic number
    fields, as well as equidistribution of integral solutions to the diophantine equation
    defined by an integral Lorentz form in three or more variables. We establish an
    effective rate of convergence for these equidistribution problems, depending on
    the size of the spectral gap associated with a suitable lattice subgroup in the
    isometry group of the relevant hyperbolic space. The main result underlying our
    discussion amounts to establishing effective joint equidistribution for the horospherical
    component and the radial component in the Iwasawa decomposition of lattice elements.
acknowledgement: The authors thank the referee for important comments which led to
  significant improvements is the presentation of several results in the paper. They
  also thank Ami Paz for preparing the figures for this paper. Horesh thanks Ami Paz
  and Yakov Karasik for helpful discussions. Nevo thanks John Parker and Rene Rühr
  for providing some very useful references. Nevo is supported by ISF Grant No. 2095/15.
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Tal
  full_name: Horesh, Tal
  id: C8B7BF48-8D81-11E9-BCA9-F536E6697425
  last_name: Horesh
- first_name: Amos
  full_name: Nevo, Amos
  last_name: Nevo
citation:
  ama: 'Horesh T, Nevo A. Horospherical coordinates of lattice points in hyperbolic
    spaces: Effective counting and equidistribution. <i>Pacific Journal of Mathematics</i>.
    2023;324(2):265-294. doi:<a href="https://doi.org/10.2140/pjm.2023.324.265">10.2140/pjm.2023.324.265</a>'
  apa: 'Horesh, T., &#38; Nevo, A. (2023). Horospherical coordinates of lattice points
    in hyperbolic spaces: Effective counting and equidistribution. <i>Pacific Journal
    of Mathematics</i>. Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/pjm.2023.324.265">https://doi.org/10.2140/pjm.2023.324.265</a>'
  chicago: 'Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points
    in Hyperbolic Spaces: Effective Counting and Equidistribution.” <i>Pacific Journal
    of Mathematics</i>. Mathematical Sciences Publishers, 2023. <a href="https://doi.org/10.2140/pjm.2023.324.265">https://doi.org/10.2140/pjm.2023.324.265</a>.'
  ieee: 'T. Horesh and A. Nevo, “Horospherical coordinates of lattice points in hyperbolic
    spaces: Effective counting and equidistribution,” <i>Pacific Journal of Mathematics</i>,
    vol. 324, no. 2. Mathematical Sciences Publishers, pp. 265–294, 2023.'
  ista: 'Horesh T, Nevo A. 2023. Horospherical coordinates of lattice points in hyperbolic
    spaces: Effective counting and equidistribution. Pacific Journal of Mathematics.
    324(2), 265–294.'
  mla: 'Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in
    Hyperbolic Spaces: Effective Counting and Equidistribution.” <i>Pacific Journal
    of Mathematics</i>, vol. 324, no. 2, Mathematical Sciences Publishers, 2023, pp.
    265–94, doi:<a href="https://doi.org/10.2140/pjm.2023.324.265">10.2140/pjm.2023.324.265</a>.'
  short: T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-08-27T22:01:18Z
date_published: 2023-07-26T00:00:00Z
date_updated: 2026-07-29T10:13:41Z
day: '26'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.2140/pjm.2023.324.265
external_id:
  arxiv:
  - '1612.08215'
  isi:
  - '001047690500001'
file:
- access_level: open_access
  checksum: a675b53cfb31fa46be1e879b7e77fe8c
  content_type: application/pdf
  creator: dernst
  date_created: 2023-09-05T07:26:17Z
  date_updated: 2023-09-05T07:26:17Z
  file_id: '14267'
  file_name: 2023_PacificJourMaths_Horesh.pdf
  file_size: 654895
  relation: main_file
  success: 1
file_date_updated: 2023-09-05T07:26:17Z
has_accepted_license: '1'
intvolume: '       324'
isi: 1
issue: '2'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 265-294
publication: Pacific Journal of Mathematics
publication_identifier:
  eissn:
  - 1945-5844
  issn:
  - 0030-8730
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: 'Horospherical coordinates of lattice points in hyperbolic spaces: Effective
  counting and equidistribution'
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: 324
year: '2023'
...
---
_id: '13091'
abstract:
- lang: eng
  text: We use a function field version of the Hardy–Littlewood circle method to study
    the locus of free rational curves on an arbitrary smooth projective hypersurface
    of sufficiently low degree. On the one hand this allows us to bound the dimension
    of the singular locus of the moduli space of rational curves on such hypersurfaces
    and, on the other hand, it sheds light on Peyre’s reformulation of the Batyrev–Manin
    conjecture in terms of slopes with respect to the tangent bundle.
acknowledgement: The authors are grateful to Paul Nelson, Per Salberger and Jason
  Starr for useful comments. While working on this paper the first author was supported
  by EPRSC grant EP/P026710/1. The research was partially conducted during the period
  the second author served as a Clay Research Fellow, and partially conducted during
  the period he was supported by Dr. Max Rössler, the Walter Haefner Foundation and
  the ETH Zurich Foundation.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Will
  full_name: Sawin, Will
  last_name: Sawin
citation:
  ama: Browning TD, Sawin W. Free rational curves on low degree hypersurfaces and
    the circle method. <i>Algebra &#38; Number Theory</i>. 2023;17(3):719-748. doi:<a
    href="https://doi.org/10.2140/ant.2023.17.719">10.2140/ant.2023.17.719</a>
  apa: Browning, T. D., &#38; Sawin, W. (2023). Free rational curves on low degree
    hypersurfaces and the circle method. <i>Algebra &#38; Number Theory</i>. Mathematical
    Sciences Publishers. <a href="https://doi.org/10.2140/ant.2023.17.719">https://doi.org/10.2140/ant.2023.17.719</a>
  chicago: Browning, Timothy D, and Will Sawin. “Free Rational Curves on Low Degree
    Hypersurfaces and the Circle Method.” <i>Algebra &#38; Number Theory</i>. Mathematical
    Sciences Publishers, 2023. <a href="https://doi.org/10.2140/ant.2023.17.719">https://doi.org/10.2140/ant.2023.17.719</a>.
  ieee: T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces
    and the circle method,” <i>Algebra &#38; Number Theory</i>, vol. 17, no. 3. Mathematical
    Sciences Publishers, pp. 719–748, 2023.
  ista: Browning TD, Sawin W. 2023. Free rational curves on low degree hypersurfaces
    and the circle method. Algebra &#38; Number Theory. 17(3), 719–748.
  mla: Browning, Timothy D., and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces
    and the Circle Method.” <i>Algebra &#38; Number Theory</i>, vol. 17, no. 3, Mathematical
    Sciences Publishers, 2023, pp. 719–48, doi:<a href="https://doi.org/10.2140/ant.2023.17.719">10.2140/ant.2023.17.719</a>.
  short: T.D. Browning, W. Sawin, Algebra &#38; Number Theory 17 (2023) 719–748.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-05-28T22:01:02Z
date_published: 2023-04-12T00:00:00Z
date_updated: 2026-07-29T10:11:06Z
day: '12'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.2140/ant.2023.17.719
external_id:
  arxiv:
  - '1810.06882'
  isi:
  - '000996014700004'
file:
- access_level: open_access
  checksum: 5d5d67b235905650e33cf7065d7583b4
  content_type: application/pdf
  creator: dernst
  date_created: 2023-05-30T08:05:22Z
  date_updated: 2023-05-30T08:05:22Z
  file_id: '13101'
  file_name: 2023_AlgebraNumberTheory_Browning.pdf
  file_size: 1430719
  relation: main_file
  success: 1
file_date_updated: 2023-05-30T08:05:22Z
has_accepted_license: '1'
intvolume: '        17'
isi: 1
issue: '3'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 719-748
project:
- _id: 26A8D266-B435-11E9-9278-68D0E5697425
  grant_number: EP-P026710-2
  name: Between rational and integral points
publication: Algebra & Number Theory
publication_identifier:
  eissn:
  - 1944-7833
  issn:
  - 1937-0652
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Free rational curves on low degree hypersurfaces and the circle method
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: 17
year: '2023'
...
---
_id: '13973'
abstract:
- lang: eng
  text: We construct families of log K3 surfaces and study the arithmetic of their
    members. We use this to produce explicit surfaces with an order 5 Brauer–Manin
    obstruction to the integral Hasse principle.
acknowledgement: "This paper was completed as part of a project which received funding
  from the\r\nEuropean Union’s Horizon 2020 research and innovation programme under
  the Marie\r\nSkłodowska-Curie grant agreement No. 754411."
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Julian
  full_name: Lyczak, Julian
  id: 3572849A-F248-11E8-B48F-1D18A9856A87
  last_name: Lyczak
citation:
  ama: Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle
    on log K3 surfaces. <i>Annales de l’Institut Fourier</i>. 2023;73(2):447-478.
    doi:<a href="https://doi.org/10.5802/aif.3529">10.5802/aif.3529</a>
  apa: Lyczak, J. (2023). Order 5 Brauer–Manin obstructions to the integral Hasse
    principle on log K3 surfaces. <i>Annales de l’Institut Fourier</i>. Association
    des Annales de l’Institut Fourier. <a href="https://doi.org/10.5802/aif.3529">https://doi.org/10.5802/aif.3529</a>
  chicago: Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse
    Principle on Log K3 Surfaces.” <i>Annales de l’Institut Fourier</i>. Association
    des Annales de l’Institut Fourier, 2023. <a href="https://doi.org/10.5802/aif.3529">https://doi.org/10.5802/aif.3529</a>.
  ieee: J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle
    on log K3 surfaces,” <i>Annales de l’Institut Fourier</i>, vol. 73, no. 2. Association
    des Annales de l’Institut Fourier, pp. 447–478, 2023.
  ista: Lyczak J. 2023. Order 5 Brauer–Manin obstructions to the integral Hasse principle
    on log K3 surfaces. Annales de l’Institut Fourier. 73(2), 447–478.
  mla: Lyczak, Julian. “Order 5 Brauer–Manin Obstructions to the Integral Hasse Principle
    on Log K3 Surfaces.” <i>Annales de l’Institut Fourier</i>, vol. 73, no. 2, Association
    des Annales de l’Institut Fourier, 2023, pp. 447–78, doi:<a href="https://doi.org/10.5802/aif.3529">10.5802/aif.3529</a>.
  short: J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-08-06T22:01:12Z
date_published: 2023-05-12T00:00:00Z
date_updated: 2026-07-29T10:12:43Z
day: '12'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.5802/aif.3529
ec_funded: 1
external_id:
  arxiv:
  - '2005.14013'
  isi:
  - '001000279500001'
file:
- access_level: open_access
  checksum: daf53fc614c894422e4c0fb3d2a2ae3e
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-07T07:19:42Z
  date_updated: 2023-08-07T07:19:42Z
  file_id: '13977'
  file_name: 2023_AnnalesFourier_Lyczak.pdf
  file_size: 1529821
  relation: main_file
  success: 1
file_date_updated: 2023-08-07T07:19:42Z
has_accepted_license: '1'
intvolume: '        73'
isi: 1
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '05'
oa: 1
oa_version: Published Version
page: 447-478
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: Annales de l'Institut Fourier
publication_identifier:
  issn:
  - 0373-0956
publication_status: published
publisher: Association des Annales de l'Institut Fourier
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: yes
title: Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3
  surfaces
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: 73
year: '2023'
...
---
_id: '12427'
abstract:
- lang: eng
  text: 'Let k be a number field and X a smooth, geometrically integral quasi-projective
    variety over k. For any linear algebraic group G over k and any G-torsor g : Z
    → X, we observe that if the étale-Brauer obstruction is the only one for strong
    approximation off a finite set of places S for all twists of Z by elements in
    H^1(k, G), then the étale-Brauer obstruction is the only one for strong approximation
    off a finite set of places S for X. As an application, we show that any homogeneous
    space of the form G/H with G a connected linear algebraic group over k satisfies
    strong approximation off the infinite places with étale-Brauer obstruction, under
    some compactness assumptions when k is totally real. We also prove more refined
    strong approximation results for homogeneous spaces of the form G/H with G semisimple
    simply connected and H finite, using the theory of torsors and descent.'
article_processing_charge: No
article_type: original
author:
- first_name: Francesca
  full_name: Balestrieri, Francesca
  id: 3ACCD756-F248-11E8-B48F-1D18A9856A87
  last_name: Balestrieri
citation:
  ama: Balestrieri F. Some remarks on strong approximation and applications to homogeneous
    spaces of linear algebraic groups. <i>Proceedings of the American Mathematical
    Society</i>. 2023;151(3):907-914. doi:<a href="https://doi.org/10.1090/proc/15239">10.1090/proc/15239</a>
  apa: Balestrieri, F. (2023). Some remarks on strong approximation and applications
    to homogeneous spaces of linear algebraic groups. <i>Proceedings of the American
    Mathematical Society</i>. American Mathematical Society. <a href="https://doi.org/10.1090/proc/15239">https://doi.org/10.1090/proc/15239</a>
  chicago: Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications
    to Homogeneous Spaces of Linear Algebraic Groups.” <i>Proceedings of the American
    Mathematical Society</i>. American Mathematical Society, 2023. <a href="https://doi.org/10.1090/proc/15239">https://doi.org/10.1090/proc/15239</a>.
  ieee: F. Balestrieri, “Some remarks on strong approximation and applications to
    homogeneous spaces of linear algebraic groups,” <i>Proceedings of the American
    Mathematical Society</i>, vol. 151, no. 3. American Mathematical Society, pp.
    907–914, 2023.
  ista: Balestrieri F. 2023. Some remarks on strong approximation and applications
    to homogeneous spaces of linear algebraic groups. Proceedings of the American
    Mathematical Society. 151(3), 907–914.
  mla: Balestrieri, Francesca. “Some Remarks on Strong Approximation and Applications
    to Homogeneous Spaces of Linear Algebraic Groups.” <i>Proceedings of the American
    Mathematical Society</i>, vol. 151, no. 3, American Mathematical Society, 2023,
    pp. 907–14, doi:<a href="https://doi.org/10.1090/proc/15239">10.1090/proc/15239</a>.
  short: F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023)
    907–914.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-01-29T23:00:58Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2026-07-29T10:09:11Z
day: '01'
department:
- _id: TiBr
doi: 10.1090/proc/15239
external_id:
  isi:
  - '000898440000001'
intvolume: '       151'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.science/hal-03013498/
month: '01'
oa: 1
oa_version: Preprint
page: 907-914
publication: Proceedings of the American Mathematical Society
publication_identifier:
  eissn:
  - 1088-6826
  issn:
  - 0002-9939
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Some remarks on strong approximation and applications to homogeneous spaces
  of linear algebraic groups
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 151
year: '2023'
...
---
_id: '12916'
abstract:
- lang: eng
  text: "We apply a variant of the square-sieve to produce an upper bound for the
    number of rational points of bounded height on a family of surfaces that admit
    a fibration over P1 whose general fibre is a hyperelliptic curve. The implied
    constant does not depend on the coefficients of the polynomial defining the surface.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Dante
  full_name: Bonolis, Dante
  id: 6A459894-5FDD-11E9-AF35-BB24E6697425
  last_name: Bonolis
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Bonolis D, Browning TD. Uniform bounds for rational points on hyperelliptic
    fibrations. <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>.
    2023;24(1):173-204. doi:<a href="https://doi.org/10.2422/2036-2145.202010_018">10.2422/2036-2145.202010_018</a>
  apa: Bonolis, D., &#38; Browning, T. D. (2023). Uniform bounds for rational points
    on hyperelliptic fibrations. <i>Annali Della Scuola Normale Superiore Di Pisa,
    Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale. <a href="https://doi.org/10.2422/2036-2145.202010_018">https://doi.org/10.2422/2036-2145.202010_018</a>
  chicago: Bonolis, Dante, and Timothy D Browning. “Uniform Bounds for Rational Points
    on Hyperelliptic Fibrations.” <i>Annali Della Scuola Normale Superiore Di Pisa,
    Classe Di Scienze</i>. Scuola Normale Superiore - Edizioni della Normale, 2023.
    <a href="https://doi.org/10.2422/2036-2145.202010_018">https://doi.org/10.2422/2036-2145.202010_018</a>.
  ieee: D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic
    fibrations,” <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>,
    vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204,
    2023.
  ista: Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic
    fibrations. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.
    24(1), 173–204.
  mla: Bonolis, Dante, and Timothy D. Browning. “Uniform Bounds for Rational Points
    on Hyperelliptic Fibrations.” <i>Annali Della Scuola Normale Superiore Di Pisa,
    Classe Di Scienze</i>, vol. 24, no. 1, Scuola Normale Superiore - Edizioni della
    Normale, 2023, pp. 173–204, doi:<a href="https://doi.org/10.2422/2036-2145.202010_018">10.2422/2036-2145.202010_018</a>.
  short: D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa,
    Classe Di Scienze 24 (2023) 173–204.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-05-07T22:01:04Z
date_published: 2023-02-16T00:00:00Z
date_updated: 2026-07-29T10:10:35Z
day: '16'
department:
- _id: TiBr
doi: 10.2422/2036-2145.202010_018
external_id:
  arxiv:
  - '2007.14182'
intvolume: '        24'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2007.14182
month: '02'
oa: 1
oa_version: Preprint
page: 173-204
publication: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
publication_identifier:
  eissn:
  - 2036-2145
  issn:
  - 0391-173X
publication_status: published
publisher: Scuola Normale Superiore - Edizioni della Normale
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Uniform bounds for rational points on hyperelliptic fibrations
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 24
year: '2023'
...
---
_id: '13180'
abstract:
- lang: eng
  text: We study the density of everywhere locally soluble diagonal quadric surfaces,
    parameterised by rational points that lie on a split quadric surface
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Julian
  full_name: Lyczak, Julian
  id: 3572849A-F248-11E8-B48F-1D18A9856A87
  last_name: Lyczak
- first_name: Roman
  full_name: Sarapin, Roman
  last_name: Sarapin
citation:
  ama: Browning TD, Lyczak J, Sarapin R. Local solubility for a family of quadrics
    over a split quadric surface. <i>Involve</i>. 2023;16(2):331-342. doi:<a href="https://doi.org/10.2140/involve.2023.16.331">10.2140/involve.2023.16.331</a>
  apa: Browning, T. D., Lyczak, J., &#38; Sarapin, R. (2023). Local solubility for
    a family of quadrics over a split quadric surface. <i>Involve</i>. Mathematical
    Sciences Publishers. <a href="https://doi.org/10.2140/involve.2023.16.331">https://doi.org/10.2140/involve.2023.16.331</a>
  chicago: Browning, Timothy D, Julian Lyczak, and Roman Sarapin. “Local Solubility
    for a Family of Quadrics over a Split Quadric Surface.” <i>Involve</i>. Mathematical
    Sciences Publishers, 2023. <a href="https://doi.org/10.2140/involve.2023.16.331">https://doi.org/10.2140/involve.2023.16.331</a>.
  ieee: T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family
    of quadrics over a split quadric surface,” <i>Involve</i>, vol. 16, no. 2. Mathematical
    Sciences Publishers, pp. 331–342, 2023.
  ista: Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics
    over a split quadric surface. Involve. 16(2), 331–342.
  mla: Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over
    a Split Quadric Surface.” <i>Involve</i>, vol. 16, no. 2, Mathematical Sciences
    Publishers, 2023, pp. 331–42, doi:<a href="https://doi.org/10.2140/involve.2023.16.331">10.2140/involve.2023.16.331</a>.
  short: T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-07-02T22:00:43Z
date_published: 2023-05-26T00:00:00Z
date_updated: 2026-07-29T10:11:41Z
day: '26'
department:
- _id: TiBr
doi: 10.2140/involve.2023.16.331
external_id:
  arxiv:
  - '2203.06881'
intvolume: '        16'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2203.06881
month: '05'
oa: 1
oa_version: Preprint
page: 331-342
publication: Involve
publication_identifier:
  eissn:
  - 1944-4184
  issn:
  - 1944-4176
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Local solubility for a family of quadrics over a split quadric surface
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 16
year: '2023'
...
---
_id: '14717'
abstract:
- lang: eng
  text: We count primitive lattices of rank d inside Zn as their covolume tends to
    infinity, with respect to certain parameters of such lattices. These parameters
    include, for example, the subspace that a lattice spans, namely its projection
    to the Grassmannian; its homothety class and its equivalence class modulo rescaling
    and rotation, often referred to as a shape. We add to a prior work of Schmidt
    by allowing sets in the spaces of parameters that are general enough to conclude
    the joint equidistribution of these parameters. In addition to the primitive d-lattices
    Λ themselves, we also consider their orthogonal complements in Zn⁠, A1⁠, and show
    that the equidistribution occurs jointly for Λ and A1⁠. Finally, our asymptotic
    formulas for the number of primitive lattices include an explicit bound on the
    error term.
acknowledgement: This work was done when both authors were visiting Institute of Science
  and Technology (IST) Austria. T.H. was being supported by Engineering and Physical
  Sciences Research Council grant EP/P026710/1. Y.K. had a great time there and is
  grateful for the hospitality. The appendix to this paper is largely based on a mini
  course T.H. had given at IST in February 2020.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Tal
  full_name: Horesh, Tal
  id: C8B7BF48-8D81-11E9-BCA9-F536E6697425
  last_name: Horesh
- first_name: Yakov
  full_name: Karasik, Yakov
  last_name: Karasik
citation:
  ama: Horesh T, Karasik Y. Equidistribution of primitive lattices in ℝn. <i>Quarterly
    Journal of Mathematics</i>. 2023;74(4):1253-1294. doi:<a href="https://doi.org/10.1093/qmath/haad008">10.1093/qmath/haad008</a>
  apa: Horesh, T., &#38; Karasik, Y. (2023). Equidistribution of primitive lattices
    in ℝn. <i>Quarterly Journal of Mathematics</i>. Oxford University Press. <a href="https://doi.org/10.1093/qmath/haad008">https://doi.org/10.1093/qmath/haad008</a>
  chicago: Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices
    in ℝn.” <i>Quarterly Journal of Mathematics</i>. Oxford University Press, 2023.
    <a href="https://doi.org/10.1093/qmath/haad008">https://doi.org/10.1093/qmath/haad008</a>.
  ieee: T. Horesh and Y. Karasik, “Equidistribution of primitive lattices in ℝn,”
    <i>Quarterly Journal of Mathematics</i>, vol. 74, no. 4. Oxford University Press,
    pp. 1253–1294, 2023.
  ista: Horesh T, Karasik Y. 2023. Equidistribution of primitive lattices in ℝn. Quarterly
    Journal of Mathematics. 74(4), 1253–1294.
  mla: Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in
    ℝn.” <i>Quarterly Journal of Mathematics</i>, vol. 74, no. 4, Oxford University
    Press, 2023, pp. 1253–94, doi:<a href="https://doi.org/10.1093/qmath/haad008">10.1093/qmath/haad008</a>.
  short: T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.
corr_author: '1'
das_tickbox: '0'
date_created: 2023-12-31T23:01:03Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2026-07-29T10:22:09Z
day: '01'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.1093/qmath/haad008
external_id:
  arxiv:
  - '2012.04508'
  isi:
  - '001005945400001'
file:
- access_level: open_access
  checksum: bf29baa9eae8500f3374dbcb80712687
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-02T07:37:09Z
  date_updated: 2024-01-02T07:37:09Z
  file_id: '14720'
  file_name: 2023_QuarterlyJourMath_Horesh.pdf
  file_size: 724748
  relation: main_file
  success: 1
file_date_updated: 2024-01-02T07:37:09Z
has_accepted_license: '1'
intvolume: '        74'
isi: 1
issue: '4'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 1253-1294
project:
- _id: 26A8D266-B435-11E9-9278-68D0E5697425
  grant_number: EP-P026710-2
  name: Between rational and integral points
publication: Quarterly Journal of Mathematics
publication_identifier:
  eissn:
  - 1464-3847
  issn:
  - 0033-5606
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: Equidistribution of primitive lattices in ℝn
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: 74
year: '2023'
...
---
_id: '18179'
abstract:
- lang: eng
  text: 'Linnik type problems concern the distribution of projections of integral
    points on the unit sphere as their norm increases, and different generalizations
    of this phenomenon. Our work addresses a question of this type: we prove the uniform
    distribution of the projections of primitive Z2 points in the p-adic unit sphere,
    as their (real) norm tends to infinity. The proof is via counting lattice points
    in semi-simple S-arithmetic groups.'
- lang: fre
  text: 'Les problèmes de type Linnik concernent la distribution des projections des
    points entiers sur la sphère unitaire lorsque leur norme augmente et différentes
    généralisations de ce phénomène. Notre travail s’intéresse à une question de ce
    type : nous prouvons la distribution uniforme des projections des points primitifs
    de Z2 sur la sphère unitaire p-adique lorsque leur norme (réelle) tend vers l’infini.
    La preuve se fait en comptant les points d’un réseau dans des S-groupes arithmétiques
    semi-simples.'
acknowledgement: The second author is supported by EPRSC grant EP/P026710/1.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Antonin
  full_name: Guilloux, Antonin
  last_name: Guilloux
- first_name: Tal
  full_name: Horesh, Tal
  id: C8B7BF48-8D81-11E9-BCA9-F536E6697425
  last_name: Horesh
citation:
  ama: Guilloux A, Horesh T. p-adic directions of primitive vectors. <i>Publications
    mathématiques de Besançon - Algèbre et Théorie des nombres</i>. 2023;2023:85-107.
    doi:<a href="https://doi.org/10.5802/pmb.50">10.5802/pmb.50</a>
  apa: Guilloux, A., &#38; Horesh, T. (2023). p-adic directions of primitive vectors.
    <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>.
    Presses Universitaires de Franche-Comté. <a href="https://doi.org/10.5802/pmb.50">https://doi.org/10.5802/pmb.50</a>
  chicago: Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.”
    <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>.
    Presses Universitaires de Franche-Comté, 2023. <a href="https://doi.org/10.5802/pmb.50">https://doi.org/10.5802/pmb.50</a>.
  ieee: A. Guilloux and T. Horesh, “p-adic directions of primitive vectors,” <i>Publications
    mathématiques de Besançon - Algèbre et Théorie des nombres</i>, vol. 2023. Presses
    Universitaires de Franche-Comté, pp. 85–107, 2023.
  ista: Guilloux A, Horesh T. 2023. p-adic directions of primitive vectors. Publications
    mathématiques de Besançon - Algèbre et Théorie des nombres. 2023, 85–107.
  mla: Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.”
    <i>Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres</i>,
    vol. 2023, Presses Universitaires de Franche-Comté, 2023, pp. 85–107, doi:<a href="https://doi.org/10.5802/pmb.50">10.5802/pmb.50</a>.
  short: A. Guilloux, T. Horesh, Publications Mathématiques de Besançon - Algèbre
    et Théorie Des Nombres 2023 (2023) 85–107.
corr_author: '1'
das_tickbox: '0'
date_created: 2024-10-06T22:01:13Z
date_published: 2023-06-15T00:00:00Z
date_updated: 2026-07-29T10:40:38Z
day: '15'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.5802/pmb.50
external_id:
  arxiv:
  - '2103.10889'
file:
- access_level: open_access
  checksum: cefc47a2cf55a87f8e4960197f73353b
  content_type: application/pdf
  creator: dernst
  date_created: 2024-10-07T11:32:32Z
  date_updated: 2024-10-07T11:32:32Z
  file_id: '18186'
  file_name: 2023_MathBesancon_Guilloux.pdf
  file_size: 1399390
  relation: main_file
  success: 1
file_date_updated: 2024-10-07T11:32:32Z
has_accepted_license: '1'
intvolume: '      2023'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 85-107
project:
- _id: 26A8D266-B435-11E9-9278-68D0E5697425
  grant_number: EP-P026710-2
  name: Between rational and integral points
publication: Publications mathématiques de Besançon - Algèbre et Théorie des nombres
publication_identifier:
  eissn:
  - 2592-6616
  issn:
  - 2804-8504
publication_status: published
publisher: Presses Universitaires de Franche-Comté
quality_controlled: '1'
researchdata_availability: no
scopus_import: '1'
status: public
supplementarymaterial: no
title: p-adic directions of primitive vectors
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: 2023
year: '2023'
...
