---
_id: '15035'
abstract:
- lang: eng
text: "This artifact aims to reproduce experiments from the paper Monitoring Hyperproperties
With Prefix Transducers accepted at RV'23, and give further pointers to implementation
of prefix transducers.\r\nIt has two parts: a pre-compiled docker image and sources
that one can use to compile (locally or in docker) the software and run the experiments."
article_processing_charge: No
author:
- first_name: Marek
full_name: Chalupa, Marek
id: 87e34708-d6c6-11ec-9f5b-9391e7be2463
last_name: Chalupa
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
citation:
ama: Chalupa M, Henzinger TA. Monitoring hyperproperties with prefix transducers.
2023. doi:10.5281/ZENODO.8191723
apa: Chalupa, M., & Henzinger, T. A. (2023). Monitoring hyperproperties with
prefix transducers. Zenodo. https://doi.org/10.5281/ZENODO.8191723
chicago: Chalupa, Marek, and Thomas A Henzinger. “Monitoring Hyperproperties with
Prefix Transducers.” Zenodo, 2023. https://doi.org/10.5281/ZENODO.8191723.
ieee: M. Chalupa and T. A. Henzinger, “Monitoring hyperproperties with prefix transducers.”
Zenodo, 2023.
ista: Chalupa M, Henzinger TA. 2023. Monitoring hyperproperties with prefix transducers,
Zenodo, 10.5281/ZENODO.8191723.
mla: Chalupa, Marek, and Thomas A. Henzinger. Monitoring Hyperproperties with
Prefix Transducers. Zenodo, 2023, doi:10.5281/ZENODO.8191723.
short: M. Chalupa, T.A. Henzinger, (2023).
corr_author: '1'
date_created: 2024-02-28T07:34:34Z
date_published: 2023-07-28T00:00:00Z
date_updated: 2025-04-14T09:42:55Z
day: '28'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.5281/ZENODO.8191723
ec_funded: 1
has_accepted_license: '1'
main_file_link:
- open_access: '1'
url: https://doi.org/10.5281/zenodo.8191722
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
publisher: Zenodo
related_material:
record:
- id: '14076'
relation: used_in_publication
status: public
status: public
title: Monitoring hyperproperties with prefix transducers
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: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '15173'
abstract:
- lang: eng
text: 'We show that the number of linear spaces on a set of n points and the number
of rank-3 matroids on a ground set of size n are both of the form (cn+o(n))n2/6,
where c=e3√/2−3(1+3–√)/2. This is the final piece of the puzzle for enumerating
fixed-rank matroids at this level of accuracy: the numbers of rank-1 and rank-2
matroids on a ground set of size n have exact representations in terms of well-known
combinatorial functions, and it was recently proved by van der Hofstad, Pendavingh,
and van der Pol that for constant r≥4 there are (e1−rn+o(n))nr−1/r! rank-r matroids
on a ground set of size n. In our proof, we introduce a new approach for bounding
the number of clique decompositions of a complete graph, using quasirandomness
instead of the so-called entropy method that is common in this area.'
acknowledgement: "Sah and Sawhney were supported by NSF Graduate Research Fellowship
Program DGE-1745302. Sah was supported by the PD Soros Fellowship.\r\nWe thank Michael
Simkin for helpful comments on the manuscript. We thank Zach Hunter for\r\nseveral
corrections."
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Ashwin
full_name: Sah, Ashwin
last_name: Sah
- first_name: Mehtaab
full_name: Sawhney, Mehtaab
last_name: Sawhney
citation:
ama: Kwan MA, Sah A, Sawhney M. Enumerating matroids and linear spaces. Comptes
Rendus Mathematique. 2023;361(G2):565-575. doi:10.5802/crmath.423
apa: Kwan, M. A., Sah, A., & Sawhney, M. (2023). Enumerating matroids and linear
spaces. Comptes Rendus Mathematique. Academie des Sciences. https://doi.org/10.5802/crmath.423
chicago: Kwan, Matthew Alan, Ashwin Sah, and Mehtaab Sawhney. “Enumerating Matroids
and Linear Spaces.” Comptes Rendus Mathematique. Academie des Sciences,
2023. https://doi.org/10.5802/crmath.423.
ieee: M. A. Kwan, A. Sah, and M. Sawhney, “Enumerating matroids and linear spaces,”
Comptes Rendus Mathematique, vol. 361, no. G2. Academie des Sciences, pp.
565–575, 2023.
ista: Kwan MA, Sah A, Sawhney M. 2023. Enumerating matroids and linear spaces. Comptes
Rendus Mathematique. 361(G2), 565–575.
mla: Kwan, Matthew Alan, et al. “Enumerating Matroids and Linear Spaces.” Comptes
Rendus Mathematique, vol. 361, no. G2, Academie des Sciences, 2023, pp. 565–75,
doi:10.5802/crmath.423.
short: M.A. Kwan, A. Sah, M. Sawhney, Comptes Rendus Mathematique 361 (2023) 565–575.
date_created: 2024-03-24T23:01:00Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2025-09-09T14:26:32Z
day: '01'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.5802/crmath.423
external_id:
arxiv:
- '2112.03788'
isi:
- '001167671400009'
file:
- access_level: open_access
checksum: d1d0e0a854a79ae95fb66d75d9117a68
content_type: application/pdf
creator: dernst
date_created: 2024-03-25T07:21:52Z
date_updated: 2024-03-25T07:21:52Z
file_id: '15174'
file_name: 2023_ComptesRendusMath_Kwan.pdf
file_size: 598097
relation: main_file
success: 1
file_date_updated: 2024-03-25T07:21:52Z
has_accepted_license: '1'
intvolume: ' 361'
isi: 1
issue: G2
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 565-575
publication: Comptes Rendus Mathematique
publication_identifier:
eissn:
- 1778-3569
issn:
- 1631-073X
publication_status: published
publisher: Academie des Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Enumerating matroids and linear spaces
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: 361
year: '2023'
...
---
_id: '15292'
abstract:
- lang: eng
text: We present a rigid body animation technique which prevents solids from interpenetrating,
dissipates energy through friction, and propagates shocks through contacts. We
employ the Alternating Direction Method of Multipliers (ADMM) to couple non-smooth
Coulomb friction with impact propagation, allowing efficient and accurate non-smooth
dynamics along with a correct transmission of impacts through assemblies of rigid
bodies. We further extend our method to model adhesion, dynamic friction and lubricated
contact.
acknowledgement: We thank the anonymous reviewers and the members of the Visual Computing
Group at ISTA for their helpful comments. This research was supported by the Scientific
Service Units (SSU) of ISTA through resources provided by Scientific Computing,
and was funded in part by the European Union (ERC-2021-COG 101045083 CoDiNA)
article_processing_charge: No
author:
- first_name: Yi-Lu
full_name: Chen, Yi-Lu
id: 0b467602-dbcd-11ea-9d1d-ed480aa46b70
last_name: Chen
- first_name: Mickaël
full_name: Ly, Mickaël
id: 6340d7f0-b48d-11eb-b10d-b7487e71d9f1
last_name: Ly
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
citation:
ama: Chen Y-L, Ly M, Wojtan C. Unified Treatment of Contact, Friction and Shock-Propagation
in Rigid Body Animation. ACM; 2023. doi:10.1145/3606037.3606836
apa: 'Chen, Y.-L., Ly, M., & Wojtan, C. (2023). Unified treatment of contact,
friction and shock-propagation in rigid body animation. Proceedings of
the ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Los Angeles,
CA, United States: ACM. https://doi.org/10.1145/3606037.3606836'
chicago: Chen, Yi-Lu, Mickaël Ly, and Chris Wojtan. Unified Treatment of Contact,
Friction and Shock-Propagation in Rigid Body Animation. Proceedings of
the ACM SIGGRAPH/Eurographics Symposium on Computer Animation. ACM, 2023.
https://doi.org/10.1145/3606037.3606836.
ieee: Y.-L. Chen, M. Ly, and C. Wojtan, Unified treatment of contact, friction
and shock-propagation in rigid body animation. ACM, 2023.
ista: Chen Y-L, Ly M, Wojtan C. 2023. Unified treatment of contact, friction and
shock-propagation in rigid body animation, ACM,p.
mla: Chen, Yi-Lu, et al. “Unified Treatment of Contact, Friction and Shock-Propagation
in Rigid Body Animation.” Proceedings of the ACM SIGGRAPH/Eurographics Symposium
on Computer Animation, ACM, 2023, doi:10.1145/3606037.3606836.
short: Y.-L. Chen, M. Ly, C. Wojtan, Unified Treatment of Contact, Friction and
Shock-Propagation in Rigid Body Animation, ACM, 2023.
conference:
end_date: 2023-08-06
location: Los Angeles, CA, United States
name: 'SCA: Symposium on Computer Animation'
start_date: 2023-08-04
corr_author: '1'
date_created: 2024-04-03T14:57:23Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2025-04-14T12:58:27Z
day: '01'
ddc:
- '005'
- '531'
department:
- _id: GradSch
- _id: ChWo
doi: 10.1145/3606037.3606836
file:
- access_level: open_access
checksum: 88bdef929ca262ee0eefae0bbc649139
content_type: video/mp4
creator: yichen
date_created: 2024-04-03T14:58:24Z
date_updated: 2024-04-03T14:58:24Z
file_id: '15293'
file_name: video.mp4
file_size: 58770929
relation: main_file
success: 1
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checksum: c06881ba847da365a74ac09c953eaffd
content_type: application/pdf
creator: yichen
date_created: 2024-04-03T14:58:23Z
date_updated: 2024-04-03T14:58:23Z
file_id: '15294'
file_name: frictionPoster_clean.pdf
file_size: 3951968
relation: main_file
success: 1
file_date_updated: 2024-04-03T14:58:24Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: None
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
publication_status: published
publisher: ACM
related_material:
record:
- id: '14748'
relation: other
status: public
status: public
title: Unified treatment of contact, friction and shock-propagation in rigid body
animation
type: conference_poster
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '15363'
abstract:
- lang: eng
text: Knowledge distillation is a popular approach for enhancing the performance
of "student" models, with lower representational capacity, by taking advantage
of more powerful "teacher" models. Despite its apparent simplicity, the underlying
mechanics behind knowledge distillation (KD) are not yet fully understood. In
this work, we shed new light on the inner workings of this method, by examining
it from an optimization perspective. Specifically, we show that, in the context
of linear and deep linear models, KD can be interpreted as a novel type of stochastic
variance reduction mechanism. We provide a detailed convergence analysis of the
resulting dynamics, which hold under standard assumptions for both strongly-convex
and non-convex losses, showing that KD acts as a form of \emph{partial variance
reduction}, which can reduce the stochastic gradient noise, but may not eliminate
it completely, depending on the properties of the teacher'' model. Our analysis
puts further emphasis on the need for careful parametrization of KD, in particular
w.r.t. the weighting of the distillation loss, and is validated empirically on
both linear models and deep neural networks.
acknowledgement: "MS has received funding from the European Union’s Horizon 2020 research
and innovation programme\r\nunder the Marie Skłodowska-Curie grant agreement No
101034413."
alternative_title:
- NeurIPS
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Mher
full_name: Safaryan, Mher
id: dd546b39-0804-11ed-9c55-ef075c39778d
last_name: Safaryan
- 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: 'Safaryan M, Krumes A, Alistarh D-A. Knowledge distillation performs partial
variance reduction. In: 36th Conference on Neural Information Processing Systems.
Vol 36. ; 2023.'
apa: Safaryan, M., Krumes, A., & Alistarh, D.-A. (2023). Knowledge distillation
performs partial variance reduction. In 36th Conference on Neural Information
Processing Systems (Vol. 36). New Orleans, LA, United States.
chicago: Safaryan, Mher, Alexandra Krumes, and Dan-Adrian Alistarh. “Knowledge Distillation
Performs Partial Variance Reduction.” In 36th Conference on Neural Information
Processing Systems, Vol. 36, 2023.
ieee: M. Safaryan, A. Krumes, and D.-A. Alistarh, “Knowledge distillation performs
partial variance reduction,” in 36th Conference on Neural Information Processing
Systems, New Orleans, LA, United States, 2023, vol. 36.
ista: 'Safaryan M, Krumes A, Alistarh D-A. 2023. Knowledge distillation performs
partial variance reduction. 36th Conference on Neural Information Processing Systems.
NeurIPS: Neural Information Processing Systems, NeurIPS, vol. 36.'
mla: Safaryan, Mher, et al. “Knowledge Distillation Performs Partial Variance Reduction.”
36th Conference on Neural Information Processing Systems, vol. 36, 2023.
short: M. Safaryan, A. Krumes, D.-A. Alistarh, in:, 36th Conference on Neural Information
Processing Systems, 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'
date_created: 2024-05-05T22:01:04Z
date_published: 2023-12-15T00:00:00Z
date_updated: 2025-04-14T07:54:55Z
day: '15'
ddc:
- '000'
department:
- _id: DaAl
ec_funded: 1
external_id:
arxiv:
- '2305.17581'
file:
- access_level: open_access
checksum: 288c5148a85abf24ad5e22a6b1183655
content_type: application/pdf
creator: dernst
date_created: 2024-05-22T08:08:08Z
date_updated: 2024-05-22T08:08:08Z
file_id: '15417'
file_name: 2023_Neurips_Safaryan.pdf
file_size: 672571
relation: main_file
success: 1
file_date_updated: 2024-05-22T08:08:08Z
has_accepted_license: '1'
intvolume: ' 36'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: 36th Conference on Neural Information Processing Systems
publication_identifier:
issn:
- 1049-5258
publication_status: published
quality_controlled: '1'
scopus_import: '1'
status: public
title: Knowledge distillation performs partial variance reduction
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2023'
...
---
_id: '15364'
abstract:
- lang: eng
text: "Clustering is a fundamental problem in unsupervised machine learning with
many applications in data analysis. Popular clustering algorithms such as Lloyd's
algorithm and k-means++ can make Ω(ndk) time when clustering n points in a d-dimensional
space (represented by an n×d matrix X) into k clusters. On massive datasets with
moderate to large k, the multiplicative \r\nk factor can become very expensive.
We introduce a simple randomized clustering algorithm that provably runs in expected
time O(nnz(X)+nlogn) for arbitrary k. Here nnz(X) is the total number of non-zero
entries in the input dataset X, which is upper bounded by nd and can be significantly
smaller for sparse datasets. We prove that our algorithm achieves approximation
ratio ˜O(k4) on any input dataset for the k-means objective, and our experiments
show that the quality of the clusters found by our algorithm is usually much better
than this worst-case bound. We use our algorithm for k-means clustering and for
coreset construction; our experiments show that it gives a new tradeoff between
running time and cluster quality compared to previous state-of-the-art methods
for these tasks. Our theoretical analysis is based on novel results of independent
interest. We show that the approximation ratio achieved after a random one-dimensional
projection can be lifted to the original points and that k-means++ seeding can
be implemented in expected time O(nlogn) in one dimension."
acknowledgement: "Moses Charikar was supported by a Simons Investigator award. Lunjia
Hu was supported by Moses Charikar’s and Omer Reingold’s Simons Investigators awards,
Omer Reingold’s NSF Award IIS-1908774, and the Simons Foundation Collaboration on
the Theory of Algorithmic Fairness. Part of this work was done while Erik Waingarten
was a postdoc at Stanford University, supported by an NSF postdoctoral fellowship
and by Moses Charikar’s Simons\r\nInvestigator Award. This project has received
funding from the European Research Council (ERC) under the European Union’s Horizon
2020 research and innovation programme\r\n(Grant agreement No. 101019564 “The Design
of Modern Fully Dynamic Data\r\nStructures (MoDynStruct)” and the Austrian Science
Fund (FWF) project Z 422-N, project “Static and Dynamic Hierarchical Graph Decompositions”,
I 5982-N, and project “Fast Algorithms for a Reactive Network Layer (ReactNet)”,
P 33775-N, with additional funding from the netidee SCIENCE Stiftung, 2020–2024."
alternative_title:
- NeurIPS
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Moses
full_name: Charikar, Moses
last_name: Charikar
- first_name: Lunjia
full_name: Hu, Lunjia
last_name: Hu
- 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: Maximilian
full_name: Vötsch, Maximilian
last_name: Vötsch
- first_name: Erik
full_name: Waingarten, Erik
last_name: Waingarten
citation:
ama: 'Charikar M, Hu L, Henzinger M, Vötsch M, Waingarten E. Simple, scalable and
effective clustering via one-dimensional projections. In: 37th Conference on
Neural Information Processing Systems. Vol 36. ; 2023.'
apa: Charikar, M., Hu, L., Henzinger, M., Vötsch, M., & Waingarten, E. (2023).
Simple, scalable and effective clustering via one-dimensional projections. In
37th Conference on Neural Information Processing Systems (Vol. 36). New
Orleans, LA, United States.
chicago: Charikar, Moses, Lunjia Hu, Monika Henzinger, Maximilian Vötsch, and Erik
Waingarten. “Simple, Scalable and Effective Clustering via One-Dimensional Projections.”
In 37th Conference on Neural Information Processing Systems, Vol. 36, 2023.
ieee: M. Charikar, L. Hu, M. Henzinger, M. Vötsch, and E. Waingarten, “Simple, scalable
and effective clustering via one-dimensional projections,” in 37th Conference
on Neural Information Processing Systems, New Orleans, LA, United States,
2023, vol. 36.
ista: 'Charikar M, Hu L, Henzinger M, Vötsch M, Waingarten E. 2023. Simple, scalable
and effective clustering via one-dimensional projections. 37th Conference on Neural
Information Processing Systems. NeurIPS: Neural Information Processing Systems,
NeurIPS, vol. 36.'
mla: Charikar, Moses, et al. “Simple, Scalable and Effective Clustering via One-Dimensional
Projections.” 37th Conference on Neural Information Processing Systems,
vol. 36, 2023.
short: M. Charikar, L. Hu, M. Henzinger, M. Vötsch, E. Waingarten, in:, 37th Conference
on Neural Information Processing Systems, 2023.
conference:
end_date: 2023-12-16
location: New Orleans, LA, United States
name: 'NeurIPS: Neural Information Processing Systems'
start_date: 2023-12-10
date_created: 2024-05-05T22:01:05Z
date_published: 2023-12-15T00:00:00Z
date_updated: 2025-04-14T13:50:49Z
day: '15'
ddc:
- '000'
department:
- _id: MoHe
ec_funded: 1
external_id:
arxiv:
- '2310.16752'
file:
- access_level: open_access
checksum: d169a147a2adf55878e0a99e36a9d468
content_type: application/pdf
creator: dernst
date_created: 2024-05-22T07:34:00Z
date_updated: 2024-05-22T07:34:00Z
file_id: '15416'
file_name: 2023_Neurips_Charikar.pdf
file_size: 1445159
relation: main_file
success: 1
file_date_updated: 2024-05-22T07:34:00Z
has_accepted_license: '1'
intvolume: ' 36'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
call_identifier: H2020
grant_number: '101019564'
name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
grant_number: Z00422
name: Efficient algorithms
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
grant_number: I05982
name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
grant_number: P33775
name: Fast Algorithms for a Reactive Network Layer
publication: 37th Conference on Neural Information Processing Systems
publication_identifier:
issn:
- 1049-5258
publication_status: published
quality_controlled: '1'
scopus_import: '1'
status: public
title: Simple, scalable and effective clustering via one-dimensional projections
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2023'
...
---
_id: '10770'
abstract:
- lang: eng
text: Mathematical models often aim to describe a complicated mechanism in a cohesive
and simple manner. However, reaching perfect balance between being simple enough
or overly simplistic is a challenging task. Frequently, game-theoretic models
have an underlying assumption that players, whenever they choose to execute a
specific action, do so perfectly. In fact, it is rare that action execution perfectly
coincides with intentions of individuals, giving rise to behavioural mistakes.
The concept of incompetence of players was suggested to address this issue in
game-theoretic settings. Under the assumption of incompetence, players have non-zero
probabilities of executing a different strategy from the one they chose, leading
to stochastic outcomes of the interactions. In this article, we survey results
related to the concept of incompetence in classic as well as evolutionary game
theory and provide several new results. We also suggest future extensions of the
model and argue why it is important to take into account behavioural mistakes
when analysing interactions among players in both economic and biological settings.
acknowledgement: "The authors would like to acknowledge stimulating email discussions
with Dr Wayne Lobb of W.A. Lobb LLC on the topic of evolutionary games. We also
thank Dr Thomas Taimre for his input to the material in Sect. 3.\r\nThe authors
would like to acknowledge partial support from the Australian Research Council under
the Discovery grant DP180101602 and support by the European Union’s Horizon 2020
research and innovation program under the Marie Sklodowska-Curie Grant Agreement
#754411."
article_processing_charge: No
article_type: original
author:
- first_name: Thomas
full_name: Graham, Thomas
last_name: Graham
- first_name: Maria
full_name: Kleshnina, Maria
id: 4E21749C-F248-11E8-B48F-1D18A9856A87
last_name: Kleshnina
- first_name: Jerzy A.
full_name: Filar, Jerzy A.
last_name: Filar
citation:
ama: Graham T, Kleshnina M, Filar JA. Where do mistakes lead? A survey of games
with incompetent players. Dynamic Games and Applications. 2023;13:231-264.
doi:10.1007/s13235-022-00425-3
apa: Graham, T., Kleshnina, M., & Filar, J. A. (2023). Where do mistakes lead?
A survey of games with incompetent players. Dynamic Games and Applications.
Springer Nature. https://doi.org/10.1007/s13235-022-00425-3
chicago: Graham, Thomas, Maria Kleshnina, and Jerzy A. Filar. “Where Do Mistakes
Lead? A Survey of Games with Incompetent Players.” Dynamic Games and Applications.
Springer Nature, 2023. https://doi.org/10.1007/s13235-022-00425-3.
ieee: T. Graham, M. Kleshnina, and J. A. Filar, “Where do mistakes lead? A survey
of games with incompetent players,” Dynamic Games and Applications, vol.
13. Springer Nature, pp. 231–264, 2023.
ista: Graham T, Kleshnina M, Filar JA. 2023. Where do mistakes lead? A survey of
games with incompetent players. Dynamic Games and Applications. 13, 231–264.
mla: Graham, Thomas, et al. “Where Do Mistakes Lead? A Survey of Games with Incompetent
Players.” Dynamic Games and Applications, vol. 13, Springer Nature, 2023,
pp. 231–64, doi:10.1007/s13235-022-00425-3.
short: T. Graham, M. Kleshnina, J.A. Filar, Dynamic Games and Applications 13 (2023)
231–264.
date_created: 2022-02-20T23:01:32Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2025-04-14T07:43:48Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s13235-022-00425-3
ec_funded: 1
external_id:
isi:
- '000753777100001'
file:
- access_level: open_access
checksum: cd53b07e96f9030ddb348f305e5b58c7
content_type: application/pdf
creator: dernst
date_created: 2022-02-21T08:54:17Z
date_updated: 2022-02-21T08:54:17Z
file_id: '10781'
file_name: 2022_DynamicGamesApplic_Graham.pdf
file_size: 1890512
relation: main_file
success: 1
file_date_updated: 2022-02-21T08:54:17Z
has_accepted_license: '1'
intvolume: ' 13'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 231-264
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Dynamic Games and Applications
publication_identifier:
eissn:
- 2153-0793
issn:
- 2153-0785
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Where do mistakes lead? A survey of games with incompetent players
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2023'
...
---
_id: '11434'
abstract:
- lang: eng
text: The Indian summer monsoon rainfall (ISMR) has been declining since the 1950s.
However, since 2002 it is reported to have revived. For these observed changes
in the ISMR, several explanations have been reported. Among these explanations,
however, the role of the eastern equatorial Indian Ocean (EEIO) is missing despite
being one of the warmest regions in the Indian Ocean, and monotonously warming.
A recent study reported that EEIO warming impacts the rainfall over northern India.
Here we report that warming in the EEIO weakens the low-level Indian summer monsoon
circulation and reduces ISMR. A warm EEIO drives easterly winds in the Indo–Pacific
sector as a Gill response. The warm EEIO also enhances nocturnal convection offshore
the western coast of Sumatra. The latent heating associated with the increased
convection augments the Gill response and the resultant circulation opposes the
monsoon low-level circulation and weakens the seasonal rainfall.
acknowledgement: This work was supported by the National Research Foundation of Korea
(NRF) grant funded by the Korea government (MSIT) (NRF-2018R1A5A1024958). Model
simulation and data transfer were supported by the National Supercomputing Center
with supercomputing resources including technical support (KSC-2019-CHA-0005), the
National Center for Meteorological Supercomputer of Korea Meteorological Administration,
and by the Korea Research Environment Open NETwork (KREONET), respectively. The
authors declare no conflicts of interest.
article_processing_charge: No
article_type: original
author:
- first_name: Bidyut B
full_name: Goswami, Bidyut B
id: 3a4ac09c-6d61-11ec-bf66-884cde66b64b
last_name: Goswami
orcid: 0000-0001-8602-3083
citation:
ama: GOSWAMI BB. Role of the eastern equatorial Indian Ocean warming in the Indian
summer monsoon rainfall trend. Climate Dynamics. 2023;60:427-442. doi:10.1007/s00382-022-06337-7
apa: GOSWAMI, B. B. (2023). Role of the eastern equatorial Indian Ocean warming
in the Indian summer monsoon rainfall trend. Climate Dynamics. Springer
Nature. https://doi.org/10.1007/s00382-022-06337-7
chicago: GOSWAMI, BIDYUT B. “Role of the Eastern Equatorial Indian Ocean Warming
in the Indian Summer Monsoon Rainfall Trend.” Climate Dynamics. Springer
Nature, 2023. https://doi.org/10.1007/s00382-022-06337-7.
ieee: B. B. GOSWAMI, “Role of the eastern equatorial Indian Ocean warming in the
Indian summer monsoon rainfall trend,” Climate Dynamics, vol. 60. Springer
Nature, pp. 427–442, 2023.
ista: GOSWAMI BB. 2023. Role of the eastern equatorial Indian Ocean warming in the
Indian summer monsoon rainfall trend. Climate Dynamics. 60, 427–442.
mla: GOSWAMI, BIDYUT B. “Role of the Eastern Equatorial Indian Ocean Warming in
the Indian Summer Monsoon Rainfall Trend.” Climate Dynamics, vol. 60, Springer
Nature, 2023, pp. 427–42, doi:10.1007/s00382-022-06337-7.
short: B.B. GOSWAMI, Climate Dynamics 60 (2023) 427–442.
corr_author: '1'
date_created: 2022-06-05T22:01:50Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2024-10-09T20:53:52Z
day: '01'
department:
- _id: CaMu
doi: 10.1007/s00382-022-06337-7
external_id:
isi:
- '000803119400002'
intvolume: ' 60'
isi: 1
language:
- iso: eng
month: '01'
oa_version: None
page: 427-442
publication: Climate Dynamics
publication_identifier:
eissn:
- 1432-0894
issn:
- 0930-7575
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: ' https://doi.org/10.1007/s00382-022-06401-2'
scopus_import: '1'
status: public
title: Role of the eastern equatorial Indian Ocean warming in the Indian summer monsoon
rainfall trend
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 60
year: '2023'
...
---
_id: '10145'
abstract:
- lang: eng
text: We study direct integrals of quadratic and Dirichlet forms. We show that each
quasi-regular Dirichlet space over a probability space admits a unique representation
as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same
underlying topology. The same holds for each quasi-regular strongly local Dirichlet
space over a metrizable Luzin σ-finite Radon measure space, and admitting carré
du champ operator. In this case, the representation is only projectively unique.
acknowledgement: The author is grateful to Professors Sergio Albeverio and Andreas
Eberle, and to Dr. Kohei Suzuki, for fruitful conversations on the subject of the
present work, and for respectively pointing out the references [1, 13], and [3,
20]. Finally, he is especially grateful to an anonymous Reviewer for their very
careful reading and their suggestions which improved the readability of the paper.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lorenzo
full_name: Dello Schiavo, Lorenzo
id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
last_name: Dello Schiavo
orcid: 0000-0002-9881-6870
citation:
ama: Dello Schiavo L. Ergodic decomposition of Dirichlet forms via direct integrals
and applications. Potential Analysis. 2023;58:573-615. doi:10.1007/s11118-021-09951-y
apa: Dello Schiavo, L. (2023). Ergodic decomposition of Dirichlet forms via direct
integrals and applications. Potential Analysis. Springer Nature. https://doi.org/10.1007/s11118-021-09951-y
chicago: Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct
Integrals and Applications.” Potential Analysis. Springer Nature, 2023.
https://doi.org/10.1007/s11118-021-09951-y.
ieee: L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals
and applications,” Potential Analysis, vol. 58. Springer Nature, pp. 573–615,
2023.
ista: Dello Schiavo L. 2023. Ergodic decomposition of Dirichlet forms via direct
integrals and applications. Potential Analysis. 58, 573–615.
mla: Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct
Integrals and Applications.” Potential Analysis, vol. 58, Springer Nature,
2023, pp. 573–615, doi:10.1007/s11118-021-09951-y.
short: L. Dello Schiavo, Potential Analysis 58 (2023) 573–615.
corr_author: '1'
date_created: 2021-10-17T22:01:17Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2025-04-14T07:27:46Z
day: '01'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1007/s11118-021-09951-y
ec_funded: 1
external_id:
arxiv:
- '2003.01366'
isi:
- '000704213400001'
file:
- access_level: open_access
checksum: 625526482be300ca7281c91c30d41725
content_type: application/pdf
creator: dernst
date_created: 2023-10-04T09:18:59Z
date_updated: 2023-10-04T09:18:59Z
file_id: '14387'
file_name: 2023_PotentialAnalysis_DelloSchiavo.pdf
file_size: 806391
relation: main_file
success: 1
file_date_updated: 2023-10-04T09:18:59Z
has_accepted_license: '1'
intvolume: ' 58'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 573-615
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '716117'
name: Optimal Transport and Stochastic Dynamics
publication: Potential Analysis
publication_identifier:
eissn:
- 1572-929X
issn:
- 0926-2601
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ergodic decomposition of Dirichlet forms via direct integrals and applications
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 58
year: '2023'
...
---
_id: '10173'
abstract:
- lang: eng
text: We study the large scale behavior of elliptic systems with stationary random
coefficient that have only slowly decaying correlations. To this aim we analyze
the so-called corrector equation, a degenerate elliptic equation posed in the
probability space. In this contribution, we use a parabolic approach and optimally
quantify the time decay of the semigroup. For the theoretical point of view, we
prove an optimal decay estimate of the gradient and flux of the corrector when
spatially averaged over a scale R larger than 1. For the numerical point of view,
our results provide convenient tools for the analysis of various numerical methods.
acknowledgement: "I would like to thank my advisor Antoine Gloria for suggesting this
problem to me, as well for many interesting discussions and suggestions.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Nicolas
full_name: Clozeau, Nicolas
id: fea1b376-906f-11eb-847d-b2c0cf46455b
last_name: Clozeau
citation:
ama: 'Clozeau N. Optimal decay of the parabolic semigroup in stochastic homogenization
for correlated coefficient fields. Stochastics and Partial Differential Equations:
Analysis and Computations. 2023;11:1254–1378. doi:10.1007/s40072-022-00254-w'
apa: 'Clozeau, N. (2023). Optimal decay of the parabolic semigroup in stochastic
homogenization for correlated coefficient fields. Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-022-00254-w'
chicago: 'Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic
Homogenization for Correlated Coefficient Fields.” Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature, 2023.
https://doi.org/10.1007/s40072-022-00254-w.'
ieee: 'N. Clozeau, “Optimal decay of the parabolic semigroup in stochastic homogenization
for correlated coefficient fields,” Stochastics and Partial Differential Equations:
Analysis and Computations, vol. 11. Springer Nature, pp. 1254–1378, 2023.'
ista: 'Clozeau N. 2023. Optimal decay of the parabolic semigroup in stochastic homogenization
for correlated coefficient fields. Stochastics and Partial Differential Equations:
Analysis and Computations. 11, 1254–1378.'
mla: 'Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic
Homogenization for Correlated Coefficient Fields.” Stochastics and Partial
Differential Equations: Analysis and Computations, vol. 11, Springer Nature,
2023, pp. 1254–1378, doi:10.1007/s40072-022-00254-w.'
short: 'N. Clozeau, Stochastics and Partial Differential Equations: Analysis and
Computations 11 (2023) 1254–1378.'
corr_author: '1'
date_created: 2021-10-23T10:50:22Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2024-10-09T21:01:04Z
day: '01'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s40072-022-00254-w
external_id:
arxiv:
- '2102.07452'
isi:
- '000799715600001'
file:
- access_level: open_access
checksum: f83dcaecdbd3ace862c4ed97a20e8501
content_type: application/pdf
creator: dernst
date_created: 2023-08-14T11:51:04Z
date_updated: 2023-08-14T11:51:04Z
file_id: '14052'
file_name: 2023_StochPartialDiffEquations_Clozeau.pdf
file_size: 1635193
relation: main_file
success: 1
file_date_updated: 2023-08-14T11:51:04Z
has_accepted_license: '1'
intvolume: ' 11'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 1254–1378
publication: 'Stochastics and Partial Differential Equations: Analysis and Computations'
publication_identifier:
issn:
- 2194-0401
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal decay of the parabolic semigroup in stochastic homogenization for
correlated coefficient fields
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2023'
...
---
_id: '10405'
abstract:
- lang: eng
text: 'We consider large non-Hermitian random matrices X with complex, independent,
identically distributed centred entries and show that the linear statistics of
their eigenvalues are asymptotically Gaussian for test functions having 2+ϵ derivatives.
Previously this result was known only for a few special cases; either the test
functions were required to be analytic [72], or the distribution of the matrix
elements needed to be Gaussian [73], or at least match the Gaussian up to the
first four moments [82, 56]. We find the exact dependence of the limiting variance
on the fourth cumulant that was not known before. The proof relies on two novel
ingredients: (i) a local law for a product of two resolvents of the Hermitisation
of X with different spectral parameters and (ii) a coupling of several weakly
dependent Dyson Brownian motions. These methods are also the key inputs for our
analogous results on the linear eigenvalue statistics of real matrices X that
are presented in the companion paper [32]. '
acknowledgement: L.E. would like to thank Nathanaël Berestycki and D.S.would like
to thank Nina Holden for valuable discussions on the Gaussian freefield.G.C. and
L.E. are partially supported by ERC Advanced Grant No. 338804.G.C. received funding
from the European Union’s Horizon 2020 research and in-novation programme under
the Marie Skłodowska-Curie Grant Agreement No.665385. D.S. is supported by Dr. Max
Rössler, the Walter Haefner Foundation, and the ETH Zürich Foundation.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue
statistics of non-Hermitian random matrices. Communications on Pure and Applied
Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Central limit theorem
for linear eigenvalue statistics of non-Hermitian random matrices. Communications
on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.22028
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Central Limit
Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” Communications
on Pure and Applied Mathematics. Wiley, 2023. https://doi.org/10.1002/cpa.22028.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Central limit theorem for linear
eigenvalue statistics of non-Hermitian random matrices,” Communications on
Pure and Applied Mathematics, vol. 76, no. 5. Wiley, pp. 946–1034, 2023.
ista: Cipolloni G, Erdös L, Schröder DJ. 2023. Central limit theorem for linear
eigenvalue statistics of non-Hermitian random matrices. Communications on Pure
and Applied Mathematics. 76(5), 946–1034.
mla: Cipolloni, Giorgio, et al. “Central Limit Theorem for Linear Eigenvalue Statistics
of Non-Hermitian Random Matrices.” Communications on Pure and Applied Mathematics,
vol. 76, no. 5, Wiley, 2023, pp. 946–1034, doi:10.1002/cpa.22028.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied
Mathematics 76 (2023) 946–1034.
corr_author: '1'
date_created: 2021-12-05T23:01:41Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2025-03-31T16:00:54Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1002/cpa.22028
ec_funded: 1
external_id:
arxiv:
- '1912.04100'
isi:
- '000724652500001'
file:
- access_level: open_access
checksum: 8346bc2642afb4ccb7f38979f41df5d9
content_type: application/pdf
creator: dernst
date_created: 2023-10-04T09:21:48Z
date_updated: 2023-10-04T09:21:48Z
file_id: '14388'
file_name: 2023_CommPureMathematics_Cipolloni.pdf
file_size: 803440
relation: main_file
success: 1
file_date_updated: 2023-10-04T09:21:48Z
has_accepted_license: '1'
intvolume: ' 76'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
page: 946-1034
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Communications on Pure and Applied Mathematics
publication_identifier:
eissn:
- 1097-0312
issn:
- 0010-3640
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Central limit theorem for linear eigenvalue statistics of non-Hermitian random
matrices
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 76
year: '2023'
...
---
_id: '10550'
abstract:
- lang: eng
text: The global existence of renormalised solutions and convergence to equilibrium
for reaction-diffusion systems with non-linear diffusion are investigated. The
system is assumed to have quasi-positive non-linearities and to satisfy an entropy
inequality. The difficulties in establishing global renormalised solutions caused
by possibly degenerate diffusion are overcome by introducing a new class of weighted
truncation functions. By means of the obtained global renormalised solutions,
we study the large-time behaviour of complex balanced systems arising from chemical
reaction network theory with non-linear diffusion. When the reaction network does
not admit boundary equilibria, the complex balanced equilibrium is shown, by using
the entropy method, to exponentially attract all renormalised solutions in the
same compatibility class. This convergence extends even to a range of non-linear
diffusion, where global existence is an open problem, yet we are able to show
that solutions to approximate systems converge exponentially to equilibrium uniformly
in the regularisation parameter.
acknowledgement: "We thank the referees for their valuable comments and suggestions.
A major part of this work was carried out when B. Q. Tang visited the Institute
of Science and Technology Austria (ISTA). The hospitality of ISTA is greatly acknowledged.
This work was partially supported by NAWI Graz.\r\nOpen access funding provided
by University of Graz."
article_number: '66'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Klemens
full_name: Fellner, Klemens
last_name: Fellner
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
- first_name: Michael
full_name: Kniely, Michael
id: 2CA2C08C-F248-11E8-B48F-1D18A9856A87
last_name: Kniely
orcid: 0000-0001-5645-4333
- first_name: Bao Quoc
full_name: Tang, Bao Quoc
last_name: Tang
citation:
ama: Fellner K, Fischer JL, Kniely M, Tang BQ. Global renormalised solutions and
equilibration of reaction-diffusion systems with non-linear diffusion. Journal
of Nonlinear Science. 2023;33. doi:10.1007/s00332-023-09926-w
apa: Fellner, K., Fischer, J. L., Kniely, M., & Tang, B. Q. (2023). Global renormalised
solutions and equilibration of reaction-diffusion systems with non-linear diffusion.
Journal of Nonlinear Science. Springer Nature. https://doi.org/10.1007/s00332-023-09926-w
chicago: Fellner, Klemens, Julian L Fischer, Michael Kniely, and Bao Quoc Tang.
“Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems
with Non-Linear Diffusion.” Journal of Nonlinear Science. Springer Nature,
2023. https://doi.org/10.1007/s00332-023-09926-w.
ieee: K. Fellner, J. L. Fischer, M. Kniely, and B. Q. Tang, “Global renormalised
solutions and equilibration of reaction-diffusion systems with non-linear diffusion,”
Journal of Nonlinear Science, vol. 33. Springer Nature, 2023.
ista: Fellner K, Fischer JL, Kniely M, Tang BQ. 2023. Global renormalised solutions
and equilibration of reaction-diffusion systems with non-linear diffusion. Journal
of Nonlinear Science. 33, 66.
mla: Fellner, Klemens, et al. “Global Renormalised Solutions and Equilibration of
Reaction-Diffusion Systems with Non-Linear Diffusion.” Journal of Nonlinear
Science, vol. 33, 66, Springer Nature, 2023, doi:10.1007/s00332-023-09926-w.
short: K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science
33 (2023).
date_created: 2021-12-16T12:15:35Z
date_published: 2023-06-07T00:00:00Z
date_updated: 2023-08-01T14:40:33Z
day: '07'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00332-023-09926-w
external_id:
arxiv:
- '2109.12019'
isi:
- '001002343400002'
file:
- access_level: open_access
checksum: f3f0f0886098e31c81116cff8183750b
content_type: application/pdf
creator: dernst
date_created: 2023-06-19T07:33:53Z
date_updated: 2023-06-19T07:33:53Z
file_id: '13149'
file_name: 2023_JourNonlinearScience_Fellner.pdf
file_size: 742315
relation: main_file
success: 1
file_date_updated: 2023-06-19T07:33:53Z
has_accepted_license: '1'
intvolume: ' 33'
isi: 1
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Journal of Nonlinear Science
publication_identifier:
eissn:
- 1432-1467
issn:
- 0938-8974
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Global renormalised solutions and equilibration of reaction-diffusion systems
with non-linear diffusion
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: 33
year: '2023'
...
---
_id: '10551'
abstract:
- lang: eng
text: 'The Dean–Kawasaki equation—a strongly singular SPDE—is a basic equation of
fluctuating hydrodynamics; it has been proposed in the physics literature to describe
the fluctuations of the density of N independent diffusing particles in the regime
of large particle numbers N≫1. The singular nature of the Dean–Kawasaki equation
presents a substantial challenge for both its analysis and its rigorous mathematical
justification. Besides being non-renormalisable by the theory of regularity structures
by Hairer et al., it has recently been shown to not even admit nontrivial martingale
solutions. In the present work, we give a rigorous and fully quantitative justification
of the Dean–Kawasaki equation by considering the natural regularisation provided
by standard numerical discretisations: We show that structure-preserving discretisations
of the Dean–Kawasaki equation may approximate the density fluctuations of N non-interacting
diffusing particles to arbitrary order in N−1 (in suitable weak metrics). In
other words, the Dean–Kawasaki equation may be interpreted as a “recipe” for accurate
and efficient numerical simulations of the density fluctuations of independent
diffusing particles.'
acknowledgement: "We thank the anonymous referee for his/her careful reading of the
manuscript and valuable suggestions. FC gratefully acknowledges funding from the
Austrian Science Fund (FWF) through the project F65, and from the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411.\r\nOpen access funding provided by Austrian Science
Fund (FWF)."
article_number: '76'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
citation:
ama: Cornalba F, Fischer JL. The Dean-Kawasaki equation and the structure of density
fluctuations in systems of diffusing particles. Archive for Rational Mechanics
and Analysis. 2023;247(5). doi:10.1007/s00205-023-01903-7
apa: Cornalba, F., & Fischer, J. L. (2023). The Dean-Kawasaki equation and the
structure of density fluctuations in systems of diffusing particles. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01903-7
chicago: Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01903-7.
ieee: F. Cornalba and J. L. Fischer, “The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles,” Archive for Rational
Mechanics and Analysis, vol. 247, no. 5. Springer Nature, 2023.
ista: Cornalba F, Fischer JL. 2023. The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles. Archive for Rational
Mechanics and Analysis. 247(5), 76.
mla: Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis, vol. 247, no. 5, 76, Springer Nature,
2023, doi:10.1007/s00205-023-01903-7.
short: F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247
(2023).
corr_author: '1'
date_created: 2021-12-16T12:16:03Z
date_published: 2023-08-04T00:00:00Z
date_updated: 2025-04-23T13:06:01Z
day: '04'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00205-023-01903-7
ec_funded: 1
external_id:
arxiv:
- '2109.06500'
isi:
- '001043086800001'
pmid:
- '37547904'
file:
- access_level: open_access
checksum: 4529eeff170b6745a461d397ee611b5a
content_type: application/pdf
creator: dernst
date_created: 2024-01-30T12:09:34Z
date_updated: 2024-01-30T12:09:34Z
file_id: '14904'
file_name: 2023_ArchiveRationalMech_Cornalba.pdf
file_size: 1851185
relation: main_file
success: 1
file_date_updated: 2024-01-30T12:09:34Z
has_accepted_license: '1'
intvolume: ' 247'
isi: 1
issue: '5'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Dean-Kawasaki equation and the structure of density fluctuations in systems
of diffusing particles
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 247
year: '2023'
...
---
_id: '17074'
abstract:
- lang: eng
text: We verify Bogoliubov's approximation for translation invariant Bose gases
in the mean field regime, i.e. we prove that the ground state energy EN is given
by EN=NeH+infσ(H)+oN→∞(1), where N is the number of particles, eH is the minimal
Hartree energy and H is the Bogoliubov Hamiltonian. As an intermediate result
we show the existence of approximate ground states ΨN, i.e. states satisfying
⟨HN⟩ΨN=EN+oN→∞(1), exhibiting complete Bose--Einstein condensation with respect
to one of the Hartree minimizers.
acknowledgement: "We are grateful to Rupert Frank for helpful discussions at an early
stage of this project.\r\nFunding from the European Union’s Horizon 2020 research
and innovation programme\r\nunder the ERC grant agreement No 694227 is acknowledged."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Morris
full_name: Brooks, Morris
id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425
last_name: Brooks
orcid: 0000-0002-6249-0928
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Brooks M, Seiringer R. Validity of Bogoliubov’s approximation fortranslation-invariant
Bose gases. Probability and Mathematical Physics. 2023;3(4):939-1000. doi:10.2140/pmp.2022.3.939
apa: Brooks, M., & Seiringer, R. (2023). Validity of Bogoliubov’s approximation
fortranslation-invariant Bose gases. Probability and Mathematical Physics.
Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2022.3.939
chicago: Brooks, Morris, and Robert Seiringer. “Validity of Bogoliubov’s Approximation
Fortranslation-Invariant Bose Gases.” Probability and Mathematical Physics.
Mathematical Sciences Publishers, 2023. https://doi.org/10.2140/pmp.2022.3.939.
ieee: M. Brooks and R. Seiringer, “Validity of Bogoliubov’s approximation fortranslation-invariant
Bose gases,” Probability and Mathematical Physics, vol. 3, no. 4. Mathematical
Sciences Publishers, pp. 939–1000, 2023.
ista: Brooks M, Seiringer R. 2023. Validity of Bogoliubov’s approximation fortranslation-invariant
Bose gases. Probability and Mathematical Physics. 3(4), 939–1000.
mla: Brooks, Morris, and Robert Seiringer. “Validity of Bogoliubov’s Approximation
Fortranslation-Invariant Bose Gases.” Probability and Mathematical Physics,
vol. 3, no. 4, Mathematical Sciences Publishers, 2023, pp. 939–1000, doi:10.2140/pmp.2022.3.939.
short: M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
corr_author: '1'
date_created: 2024-05-29T06:12:54Z
date_published: 2023-02-21T00:00:00Z
date_updated: 2025-04-14T07:26:59Z
day: '21'
department:
- _id: RoSe
doi: 10.2140/pmp.2022.3.939
ec_funded: 1
external_id:
arxiv:
- '2111.13864'
intvolume: ' 3'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2111.13864
month: '02'
oa: 1
oa_version: Preprint
page: 939-1000
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Probability and Mathematical Physics
publication_identifier:
eissn:
- 2690-1005
issn:
- 2690-0998
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2023'
...
---
_id: '17078'
abstract:
- lang: eng
text: For the emergence of life, the abiotic synthesis of RNA from its monomers
is a central step. We found that in alkaline, drying conditions in bulk and at
heated air‐water interfaces, 2′,3′‐cyclic nucleotides oligomerised without additional
catalyst, forming up to 10‐mers within a day. The oligomerisation proceeded at
a pH range of 7–12, at temperatures between 40–80 °C and was marginally enhanced
by K+ ions. Among the canonical ribonucleotides, cGMP oligomerised
most efficiently. Quantification was performed using HPLC coupled to ESI‐TOF by
fitting the isotope distribution to the mass spectra. Our study suggests a oligomerisation
mechanism where cGMP aids the incorporation of the relatively unreactive nucleotides
C, A and U. The 2′,3′‐cyclic ribonucleotides are byproducts of prebiotic phosphorylation,
nucleotide syntheses and RNA hydrolysis, indicating direct recycling pathways.
The simple reaction condition offers a plausible entry point for RNA to the evolution
of life on early Earth.
acknowledgement: We would like to thank Ulrich Gerland, Tobias Göppel, Joachim Rosenberger
and Bernhard Altaner for their helpful remarks and discussions; Thomas Matreux,
Alexandra Kühnlein, Noël Yeh Martin and Maximilian Weingart for comments on the
manuscript. The authors thank J. Kussmann (LMU Munich) for providing a development
version of the FermiONs++ program package. Financial support was provided by the
European Research Council (ERC Evotrap, grant no. 787356, the Simons Foundation
(grant no. 327125), the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
– Project-ID 364653263 – TRR 235 (CRC 235), the Deutsche Forschungsgemeinschaft
(DFG, German Research Foundation) under Germany's Excellence Strategy – EXC-2094
– 390783311, and the Center for NanoScience. Open Access funding enabled and organized
by Projekt DEAL.
article_number: e202200026
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Avinash Vicholous
full_name: Dass, Avinash Vicholous
last_name: Dass
- first_name: Sreekar
full_name: Wunnava, Sreekar
last_name: Wunnava
- first_name: Juliette
full_name: Langlais, Juliette
last_name: Langlais
- first_name: Beatriz
full_name: von der Esch, Beatriz
last_name: von der Esch
- first_name: Maik
full_name: Krusche, Maik
last_name: Krusche
- first_name: Lennard
full_name: Ufer, Lennard
last_name: Ufer
- first_name: Nico
full_name: Chrisam, Nico
last_name: Chrisam
- first_name: Romeo C. A.
full_name: Dubini, Romeo C. A.
last_name: Dubini
- first_name: Florian
full_name: Gartner, Florian
last_name: Gartner
- first_name: Severin
full_name: Angerpointner, Severin
last_name: Angerpointner
- first_name: Christina F.
full_name: Dirscherl, Christina F.
last_name: Dirscherl
- first_name: Petra
full_name: Rovo, Petra
id: c316e53f-b965-11eb-b128-bb26acc59c00
last_name: Rovo
orcid: 0000-0001-8729-7326
- first_name: Christof B.
full_name: Mast, Christof B.
last_name: Mast
- first_name: Judit E.
full_name: Šponer, Judit E.
last_name: Šponer
- first_name: Christian
full_name: Ochsenfeld, Christian
last_name: Ochsenfeld
- first_name: Erwin
full_name: Frey, Erwin
last_name: Frey
- first_name: Dieter
full_name: Braun, Dieter
last_name: Braun
citation:
ama: Dass AV, Wunnava S, Langlais J, et al. RNA oligomerisation without added catalyst
from 2′,3′‐cyclic nucleotides by drying at air-water interfaces. ChemSystemsChem.
2023;5(1). doi:10.1002/syst.202200026
apa: Dass, A. V., Wunnava, S., Langlais, J., von der Esch, B., Krusche, M., Ufer,
L., … Braun, D. (2023). RNA oligomerisation without added catalyst from 2′,3′‐cyclic
nucleotides by drying at air-water interfaces. ChemSystemsChem. Wiley.
https://doi.org/10.1002/syst.202200026
chicago: Dass, Avinash Vicholous, Sreekar Wunnava, Juliette Langlais, Beatriz von
der Esch, Maik Krusche, Lennard Ufer, Nico Chrisam, et al. “RNA Oligomerisation
without Added Catalyst from 2′,3′‐cyclic Nucleotides by Drying at Air-Water Interfaces.”
ChemSystemsChem. Wiley, 2023. https://doi.org/10.1002/syst.202200026.
ieee: A. V. Dass et al., “RNA oligomerisation without added catalyst from
2′,3′‐cyclic nucleotides by drying at air-water interfaces,” ChemSystemsChem,
vol. 5, no. 1. Wiley, 2023.
ista: Dass AV, Wunnava S, Langlais J, von der Esch B, Krusche M, Ufer L, Chrisam
N, Dubini RCA, Gartner F, Angerpointner S, Dirscherl CF, Rovo P, Mast CB, Šponer
JE, Ochsenfeld C, Frey E, Braun D. 2023. RNA oligomerisation without added catalyst
from 2′,3′‐cyclic nucleotides by drying at air-water interfaces. ChemSystemsChem.
5(1), e202200026.
mla: Dass, Avinash Vicholous, et al. “RNA Oligomerisation without Added Catalyst
from 2′,3′‐cyclic Nucleotides by Drying at Air-Water Interfaces.” ChemSystemsChem,
vol. 5, no. 1, e202200026, Wiley, 2023, doi:10.1002/syst.202200026.
short: A.V. Dass, S. Wunnava, J. Langlais, B. von der Esch, M. Krusche, L. Ufer,
N. Chrisam, R.C.A. Dubini, F. Gartner, S. Angerpointner, C.F. Dirscherl, P. Rovo,
C.B. Mast, J.E. Šponer, C. Ochsenfeld, E. Frey, D. Braun, ChemSystemsChem 5 (2023).
date_created: 2024-05-29T06:13:48Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2025-07-10T11:51:15Z
day: '01'
ddc:
- '530'
department:
- _id: NMR
doi: 10.1002/syst.202200026
file:
- access_level: open_access
checksum: b1e78c60e371f87bdf43970f17d1cb0b
content_type: application/pdf
creator: dernst
date_created: 2024-07-31T11:20:58Z
date_updated: 2024-07-31T11:20:58Z
file_id: '17355'
file_name: 2023_ChemSystemsChem_Dass.pdf
file_size: 860679
relation: main_file
success: 1
file_date_updated: 2024-07-31T11:20:58Z
has_accepted_license: '1'
intvolume: ' 5'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
publication: ChemSystemsChem
publication_identifier:
issn:
- 2570-4206
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: RNA oligomerisation without added catalyst from 2′,3′‐cyclic nucleotides by
drying at air-water interfaces
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2023'
...
---
_id: '17079'
abstract:
- lang: eng
text: We study moments of characteristic polynomials of truncated Haar distributed
matrices from the three classical compact groups O(N), U(N) and Sp(2N). For finite
matrix size we calculate the moments in terms of hypergeometric functions of matrix
argument and give explicit integral representations highlighting the duality between
the moment and the matrix size as well as the duality between the orthogonal and
symplectic cases. Asymptotic expansions in strong and weak non-unitarity regimes
are obtained. Using the connection to matrix hypergeometric functions, we establish
limit theorems for the log-modulus of the characteristic polynomial evaluated
on the unit circle.
acknowledgement: N.S. gratefully acknowledges financial support of the Royal Society,
grant URF/R1/180707. We would like to thank Emma Bailey, Yan Fyodorov and Jordan
Stoyanov for helpful comments an an earlier version of this paper. We are grateful
for the comments of an anonymous referee.
article_number: '2250049'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Alexander
full_name: Serebryakov, Alexander
last_name: Serebryakov
- first_name: Nick
full_name: Simm, Nick
last_name: Simm
- first_name: Guillaume
full_name: Dubach, Guillaume
id: D5C6A458-10C4-11EA-ABF4-A4B43DDC885E
last_name: Dubach
orcid: 0000-0001-6892-8137
citation:
ama: 'Serebryakov A, Simm N, Dubach G. Characteristic polynomials of random truncations:
Moments, duality and asymptotics. Random Matrices: Theory and Applications.
2023;12(01). doi:10.1142/s2010326322500496'
apa: 'Serebryakov, A., Simm, N., & Dubach, G. (2023). Characteristic polynomials
of random truncations: Moments, duality and asymptotics. Random Matrices: Theory
and Applications. World Scientific Publishing. https://doi.org/10.1142/s2010326322500496'
chicago: 'Serebryakov, Alexander, Nick Simm, and Guillaume Dubach. “Characteristic
Polynomials of Random Truncations: Moments, Duality and Asymptotics.” Random
Matrices: Theory and Applications. World Scientific Publishing, 2023. https://doi.org/10.1142/s2010326322500496.'
ieee: 'A. Serebryakov, N. Simm, and G. Dubach, “Characteristic polynomials of random
truncations: Moments, duality and asymptotics,” Random Matrices: Theory and
Applications, vol. 12, no. 01. World Scientific Publishing, 2023.'
ista: 'Serebryakov A, Simm N, Dubach G. 2023. Characteristic polynomials of random
truncations: Moments, duality and asymptotics. Random Matrices: Theory and Applications.
12(01), 2250049.'
mla: 'Serebryakov, Alexander, et al. “Characteristic Polynomials of Random Truncations:
Moments, Duality and Asymptotics.” Random Matrices: Theory and Applications,
vol. 12, no. 01, 2250049, World Scientific Publishing, 2023, doi:10.1142/s2010326322500496.'
short: 'A. Serebryakov, N. Simm, G. Dubach, Random Matrices: Theory and Applications
12 (2023).'
date_created: 2024-05-29T06:14:26Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2025-09-09T14:27:10Z
day: '01'
department:
- _id: LaEr
doi: 10.1142/s2010326322500496
external_id:
arxiv:
- '2109.10331'
isi:
- '000848874400001'
intvolume: ' 12'
isi: 1
issue: '01'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2109.10331
month: '01'
oa: 1
oa_version: Preprint
publication: 'Random Matrices: Theory and Applications'
publication_identifier:
eissn:
- 2010-3271
issn:
- 2010-3263
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Characteristic polynomials of random truncations: Moments, duality and asymptotics'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 12
year: '2023'
...
---
_id: '17100'
abstract:
- lang: eng
text: "Prophet inequalities are a central object of study in optimal stopping theory.
A gambler is sent values online, sampled from an instance of independent distributions,
in an adversarial, random or selected order, depending on the model. When observing
each value, the gambler either accepts it as a reward or irrevocably rejects it
and proceeds to observe the next value. The goal of the gambler, who cannot see
the future, is maximising the expected value of the reward while competing against
the expectation of a prophet (the offline maximum). In other words, one seeks
to maximise the gambler-to-prophet ratio of the expectations.\r\nThe model, in
which the gambler selects the arrival order first, and then observes the values,
is known as Order Selection. In this model a ratio of 0.7251 has been proved to
be attainable for any instance. In very recent work, this has been improved up
to 0.7258. If the gambler chooses the arrival order (uniformly) at random, we
obtain the Random Order model. The worst case ratio over all possible instances
has been extensively studied for at least 40 years. In the recent work aforementioned,
through simulations, this ratio has been shown to be at most 0.7254 for the Random
Order model, thus establishing for the first time that carefully choosing the
order, instead of simply taking it at random, benefits the gambler. We give an
alternative, more rigorous proof of this fact, by showing mathematically that
in the Random Order model, no algorithm can achieve a ratio larger than 0.7235.
This sets a new state-of-the-art hardness for this model, and establishes more
formally that there is a real benefit in choosing the order."
acknowledgement: This research was partially supported by the EPSRC grant EP/W005573/1,
the ERC CoG 863818 (ForM-SMArt) grant, and the ANID Chile grant ACT210005. We would
like to thank Jos´e Correa and Bruno Zilotto for their precious advice, and Mona
Mohammadi and Roodabeh Safavi for early conversations.
article_number: '2304.04024'
article_processing_charge: No
arxiv: 1
author:
- first_name: Giordano
full_name: Giambartolomei, Giordano
last_name: Giambartolomei
- first_name: Frederik Mallmann-Trenn
full_name: Frederik Mallmann-Trenn, Frederik Mallmann-Trenn
last_name: Frederik Mallmann-Trenn
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
citation:
ama: 'Giambartolomei G, Frederik Mallmann-Trenn FM-T, Saona Urmeneta RJ. Prophet
inequalities: Separating random order from order selection. arXiv. doi:10.48550/arXiv.2304.04024'
apa: 'Giambartolomei, G., Frederik Mallmann-Trenn, F. M.-T., & Saona Urmeneta,
R. J. (n.d.). Prophet inequalities: Separating random order from order selection.
arXiv. https://doi.org/10.48550/arXiv.2304.04024'
chicago: 'Giambartolomei, Giordano, Frederik Mallmann-Trenn Frederik Mallmann-Trenn,
and Raimundo J Saona Urmeneta. “Prophet Inequalities: Separating Random Order
from Order Selection.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2304.04024.'
ieee: 'G. Giambartolomei, F. M.-T. Frederik Mallmann-Trenn, and R. J. Saona Urmeneta,
“Prophet inequalities: Separating random order from order selection,” arXiv.
.'
ista: 'Giambartolomei G, Frederik Mallmann-Trenn FM-T, Saona Urmeneta RJ. Prophet
inequalities: Separating random order from order selection. arXiv, 2304.04024.'
mla: 'Giambartolomei, Giordano, et al. “Prophet Inequalities: Separating Random
Order from Order Selection.” ArXiv, 2304.04024, doi:10.48550/arXiv.2304.04024.'
short: G. Giambartolomei, F.M.-T. Frederik Mallmann-Trenn, R.J. Saona Urmeneta,
ArXiv (n.d.).
date_created: 2024-06-03T07:44:54Z
date_published: 2023-04-08T00:00:00Z
date_updated: 2025-04-14T07:52:47Z
day: '08'
department:
- _id: KrCh
doi: 10.48550/arXiv.2304.04024
ec_funded: 1
external_id:
arxiv:
- '2304.04024'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2304.04024
month: '04'
oa: 1
oa_version: Preprint
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: arXiv
publication_status: submitted
status: public
title: 'Prophet inequalities: Separating random order from order selection'
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '8682'
abstract:
- lang: eng
text: It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous
for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover,
for such varieties it follows from a general conjecture of Colliot-Thélène that
the Brauer--Manin obstruction to the Hasse principle should be the only one, so
that the Hasse principle is expected to hold. Working over the field of rational
numbers and ordering Fano hypersurfaces of fixed degree and dimension by height,
we prove that almost every such hypersurface satisfies the Hasse principle provided
that the dimension is at least 3. This proves a conjecture of Poonen and Voloch
in every case except for cubic surfaces.
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: Pierre Le
full_name: Boudec, Pierre Le
last_name: Boudec
- first_name: Will
full_name: Sawin, Will
last_name: Sawin
citation:
ama: Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces.
Annals of Mathematics. 2023;197(3):1115-1203. doi:10.4007/annals.2023.197.3.3
apa: Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle
for random Fano hypersurfaces. Annals of Mathematics. Princeton University.
https://doi.org/10.4007/annals.2023.197.3.3
chicago: Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle
for Random Fano Hypersurfaces.” Annals of Mathematics. Princeton University,
2023. https://doi.org/10.4007/annals.2023.197.3.3.
ieee: T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random
Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton
University, pp. 1115–1203, 2023.
ista: Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano
hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.
mla: Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.”
Annals of Mathematics, vol. 197, no. 3, Princeton University, 2023, pp.
1115–203, doi:10.4007/annals.2023.197.3.3.
short: T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.
corr_author: '1'
date_created: 2020-10-19T14:28:50Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2024-10-21T06:01:30Z
day: '01'
department:
- _id: TiBr
doi: 10.4007/annals.2023.197.3.3
external_id:
arxiv:
- '2006.02356'
isi:
- '000966611000003'
intvolume: ' 197'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2006.02356
month: '05'
oa: 1
oa_version: Preprint
page: 1115-1203
publication: Annals of Mathematics
publication_identifier:
issn:
- 0003-486X
publication_status: published
publisher: Princeton University
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/when-is-necessary-sufficient/
scopus_import: '1'
status: public
title: The Hasse principle for random Fano hypersurfaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 197
year: '2023'
...
---
_id: '9034'
abstract:
- lang: eng
text: We determine an asymptotic formula for the number of integral points of bounded
height on a blow-up of P3 outside certain planes using universal torsors.
acknowledgement: This work was supported by the German Academic Exchange Service.
Parts of this article were prepared at the Institut de Mathémathiques de Jussieu—Paris
Rive Gauche. I wish to thank Antoine Chambert-Loir for his remarks and the institute
for its hospitality, as well as the anonymous referee for several useful remarks
and suggestions for improvements.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Florian Alexander
full_name: Wilsch, Florian Alexander
id: 560601DA-8D36-11E9-A136-7AC1E5697425
last_name: Wilsch
orcid: 0000-0001-7302-8256
citation:
ama: Wilsch FA. Integral points of bounded height on a log Fano threefold. International
Mathematics Research Notices. 2023;2023(8):6780-6808. doi:10.1093/imrn/rnac048
apa: Wilsch, F. A. (2023). Integral points of bounded height on a log Fano threefold.
International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnac048
chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log
Fano Threefold.” International Mathematics Research Notices. Oxford University
Press, 2023. https://doi.org/10.1093/imrn/rnac048.
ieee: F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,”
International Mathematics Research Notices, vol. 2023, no. 8. Oxford University
Press, pp. 6780–6808, 2023.
ista: Wilsch FA. 2023. Integral points of bounded height on a log Fano threefold.
International Mathematics Research Notices. 2023(8), 6780–6808.
mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano
Threefold.” International Mathematics Research Notices, vol. 2023, no.
8, Oxford University Press, 2023, pp. 6780–808, doi:10.1093/imrn/rnac048.
short: F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.
corr_author: '1'
date_created: 2021-01-22T09:31:09Z
date_published: 2023-04-01T00:00:00Z
date_updated: 2025-05-14T11:07:41Z
day: '01'
department:
- _id: TiBr
doi: 10.1093/imrn/rnac048
external_id:
arxiv:
- '1901.08503'
isi:
- '000773116000001'
intvolume: ' 2023'
isi: 1
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1901.08503
month: '04'
oa: 1
oa_version: Preprint
page: 6780-6808
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Integral points of bounded height on a log Fano threefold
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2023
year: '2023'
...
---
_id: '9652'
abstract:
- lang: eng
text: In 1998 Burago and Kleiner and (independently) McMullen gave examples of separated
nets in Euclidean space which are non-bilipschitz equivalent to the integer lattice.
We study weaker notions of equivalence of separated nets and demonstrate that
such notions also give rise to distinct equivalence classes. Put differently,
we find occurrences of particularly strong divergence of separated nets from the
integer lattice. Our approach generalises that of Burago and Kleiner and McMullen
which takes place largely in a continuous setting. Existence of irregular separated
nets is verified via the existence of non-realisable density functions ρ:[0,1]d→(0,∞).
In the present work we obtain stronger types of non-realisable densities.
acknowledgement: 'This work was done while both authors were employed at the University
of Innsbruck and enjoyed the full support of Austrian Science Fund (FWF): P 30902-N35.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Michael
full_name: Dymond, Michael
last_name: Dymond
- first_name: Vojtech
full_name: Kaluza, Vojtech
id: 21AE5134-9EAC-11EA-BEA2-D7BD3DDC885E
last_name: Kaluza
orcid: 0000-0002-2512-8698
citation:
ama: Dymond M, Kaluza V. Highly irregular separated nets. Israel Journal of Mathematics.
2023;253:501-554. doi:10.1007/s11856-022-2448-6
apa: Dymond, M., & Kaluza, V. (2023). Highly irregular separated nets. Israel
Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s11856-022-2448-6
chicago: Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.”
Israel Journal of Mathematics. Springer Nature, 2023. https://doi.org/10.1007/s11856-022-2448-6.
ieee: M. Dymond and V. Kaluza, “Highly irregular separated nets,” Israel Journal
of Mathematics, vol. 253. Springer Nature, pp. 501–554, 2023.
ista: Dymond M, Kaluza V. 2023. Highly irregular separated nets. Israel Journal
of Mathematics. 253, 501–554.
mla: Dymond, Michael, and Vojtech Kaluza. “Highly Irregular Separated Nets.” Israel
Journal of Mathematics, vol. 253, Springer Nature, 2023, pp. 501–54, doi:10.1007/s11856-022-2448-6.
short: M. Dymond, V. Kaluza, Israel Journal of Mathematics 253 (2023) 501–554.
date_created: 2021-07-14T07:01:28Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-08-14T11:26:34Z
day: '01'
ddc:
- '515'
- '516'
department:
- _id: UlWa
doi: 10.1007/s11856-022-2448-6
external_id:
arxiv:
- '1903.05923'
isi:
- '000904950300003'
file:
- access_level: open_access
checksum: 6fa0a3207dd1d6467c309fd1bcc867d1
content_type: application/pdf
creator: vkaluza
date_created: 2021-07-14T07:41:50Z
date_updated: 2021-07-14T07:41:50Z
file_id: '9653'
file_name: separated_nets.pdf
file_size: 900422
relation: main_file
file_date_updated: 2021-07-14T07:41:50Z
has_accepted_license: '1'
intvolume: ' 253'
isi: 1
keyword:
- Lipschitz
- bilipschitz
- bounded displacement
- modulus of continuity
- separated net
- non-realisable density
- Burago--Kleiner construction
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 501-554
publication: Israel Journal of Mathematics
publication_identifier:
eissn:
- 1565-8511
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Highly irregular separated nets
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 253
year: '2023'
...
---
_id: '13116'
abstract:
- lang: eng
text: 'The emergence of large-scale order in self-organized systems relies on local
interactions between individual components. During bacterial cell division, FtsZ
-- a prokaryotic homologue of the eukaryotic protein tubulin -- polymerizes into
treadmilling filaments that further organize into a cytoskeletal ring. In vitro,
FtsZ filaments can form dynamic chiral assemblies. However, how the active and
passive properties of individual filaments relate to these large-scale self-organized
structures remains poorly understood. Here, we connect single filament properties
with the mesoscopic scale by combining minimal active matter simulations and biochemical
reconstitution experiments. We show that density and flexibility of active chiral
filaments define their global order. At intermediate densities, curved, flexible
filaments organize into chiral rings and polar bands. An effectively nematic organization
dominates for high densities and for straight, mutant filaments with increased
rigidity. Our predicted phase diagram captures these features quantitatively,
demonstrating how the flexibility, density and chirality of active filaments affect
their collective behaviour. Our findings shed light on the fundamental properties
of active chiral matter and explain how treadmilling FtsZ filaments organize during
bacterial cell division. '
acknowledged_ssus:
- _id: Bio
- _id: LifeSc
acknowledgement: 'This work was supported by the European Research Council through
grant ERC 2015-StG-679239 and by the Austrian Science Fund (FWF) StandAlone P34607
to M.L., B. P.M. was also supported by the Kanazawa University WPI- NanoLSI Bio-SPM
collaborative research program. Z.D. has received funding from Doctoral Programme
of the Austrian Academy of Sciences (OeAW): Grant agreement 26360. We thank Jan
Brugues (MPI CBG, Dresden, Germany), Andela Saric (ISTA, Klosterneuburg, Austria),
Daniel Pearce (Uni Geneva, Switzerland) for valuable scientific input and comments
on the manuscript. We are also thankful for the support by the Scientific Service
Units (SSU) of IST Austria through resources provided by the Imaging and Optics
Facility (IOF) and the Lab Support Facility (LSF). '
article_processing_charge: No
author:
- first_name: Zuzana
full_name: Dunajova, Zuzana
id: 4B39F286-F248-11E8-B48F-1D18A9856A87
last_name: Dunajova
- first_name: Batirtze
full_name: Prats Mateu, Batirtze
id: 299FE892-F248-11E8-B48F-1D18A9856A87
last_name: Prats Mateu
- first_name: Philipp
full_name: Radler, Philipp
id: 40136C2A-F248-11E8-B48F-1D18A9856A87
last_name: Radler
orcid: '0000-0001-9198-2182 '
- first_name: Keesiang
full_name: Lim, Keesiang
last_name: Lim
- first_name: Dörte
full_name: Brandis, Dörte
last_name: Brandis
- first_name: Philipp
full_name: Velicky, Philipp
id: 39BDC62C-F248-11E8-B48F-1D18A9856A87
last_name: Velicky
orcid: 0000-0002-2340-7431
- first_name: Johann G
full_name: Danzl, Johann G
id: 42EFD3B6-F248-11E8-B48F-1D18A9856A87
last_name: Danzl
orcid: 0000-0001-8559-3973
- first_name: Richard W.
full_name: Wong, Richard W.
last_name: Wong
- first_name: Jens
full_name: Elgeti, Jens
last_name: Elgeti
- first_name: Edouard B
full_name: Hannezo, Edouard B
id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
last_name: Hannezo
orcid: 0000-0001-6005-1561
- first_name: Martin
full_name: Loose, Martin
id: 462D4284-F248-11E8-B48F-1D18A9856A87
last_name: Loose
orcid: 0000-0001-7309-9724
citation:
ama: Dunajova Z, Prats Mateu B, Radler P, et al. Chiral and nematic phases of flexible
active filaments. 2023. doi:10.15479/AT:ISTA:13116
apa: Dunajova, Z., Prats Mateu, B., Radler, P., Lim, K., Brandis, D., Velicky, P.,
… Loose, M. (2023). Chiral and nematic phases of flexible active filaments. Institute
of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:13116
chicago: Dunajova, Zuzana, Batirtze Prats Mateu, Philipp Radler, Keesiang Lim, Dörte
Brandis, Philipp Velicky, Johann G Danzl, et al. “Chiral and Nematic Phases of
Flexible Active Filaments.” Institute of Science and Technology Austria, 2023.
https://doi.org/10.15479/AT:ISTA:13116.
ieee: Z. Dunajova et al., “Chiral and nematic phases of flexible active filaments.”
Institute of Science and Technology Austria, 2023.
ista: Dunajova Z, Prats Mateu B, Radler P, Lim K, Brandis D, Velicky P, Danzl JG,
Wong RW, Elgeti J, Hannezo EB, Loose M. 2023. Chiral and nematic phases of flexible
active filaments, Institute of Science and Technology Austria, 10.15479/AT:ISTA:13116.
mla: Dunajova, Zuzana, et al. Chiral and Nematic Phases of Flexible Active Filaments.
Institute of Science and Technology Austria, 2023, doi:10.15479/AT:ISTA:13116.
short: Z. Dunajova, B. Prats Mateu, P. Radler, K. Lim, D. Brandis, P. Velicky, J.G.
Danzl, R.W. Wong, J. Elgeti, E.B. Hannezo, M. Loose, (2023).
corr_author: '1'
date_created: 2023-06-02T12:30:40Z
date_published: 2023-07-26T00:00:00Z
date_updated: 2026-03-17T12:02:11Z
day: '26'
ddc:
- '539'
department:
- _id: MaLo
- _id: EdHa
- _id: JoDa
doi: 10.15479/AT:ISTA:13116
ec_funded: 1
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