---
_id: '14986'
abstract:
- lang: eng
text: We prove a version of the tamely ramified geometric Langlands correspondence
in positive characteristic for GLn(k). Let k be an algebraically closed field
of characteristic p>n. Let X be a smooth projective curve over k with marked points,
and fix a parabolic subgroup of GLn(k) at each marked point. We denote by Bunn,P
the moduli stack of (quasi-)parabolic vector bundles on X, and by Locn,P the moduli
stack of parabolic flat connections such that the residue is nilpotent with respect
to the parabolic reduction at each marked point. We construct an equivalence between
the bounded derived category Db(Qcoh(Loc0n,P)) of quasi-coherent sheaves on an
open substack Loc0n,P⊂Locn,P, and the bounded derived category Db(D0Bunn,P-mod)
of D0Bunn,P-modules, where D0Bunn,P is a localization of DBunn,P the sheaf of
crystalline differential operators on Bunn,P. Thus we extend the work of Bezrukavnikov-Braverman
to the tamely ramified case. We also prove a correspondence between flat connections
on X with regular singularities and meromorphic Higgs bundles on the Frobenius
twist X(1) of X with first order poles .
acknowledgement: "This work was supported by the NSF [DMS-1502125to S.S.]; and the
European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie
grant agreement [101034413 to S.S.].\r\nI would like to thank my advisor Tom Nevins
for many helpful discussions on this subject and for his comments on this paper.
I would like to thank Christopher Dodd, Michael Groechenig, and Tamas Hausel for
helpful conversations. I would like to thank Tsao-Hsien Chen for useful comments
on an earlier version of this paper."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Shiyu
full_name: Shen, Shiyu
id: 544cccd3-9005-11ec-87bc-94aef1c5b814
last_name: Shen
citation:
ama: Shen S. Tamely ramified geometric Langlands correspondence in positive characteristic.
International Mathematics Research Notices. 2024. doi:10.1093/imrn/rnae005
apa: Shen, S. (2024). Tamely ramified geometric Langlands correspondence in positive
characteristic. International Mathematics Research Notices. Oxford University
Press. https://doi.org/10.1093/imrn/rnae005
chicago: Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive
Characteristic.” International Mathematics Research Notices. Oxford University
Press, 2024. https://doi.org/10.1093/imrn/rnae005.
ieee: S. Shen, “Tamely ramified geometric Langlands correspondence in positive characteristic,”
International Mathematics Research Notices. Oxford University Press, 2024.
ista: Shen S. 2024. Tamely ramified geometric Langlands correspondence in positive
characteristic. International Mathematics Research Notices.
mla: Shen, Shiyu. “Tamely Ramified Geometric Langlands Correspondence in Positive
Characteristic.” International Mathematics Research Notices, Oxford University
Press, 2024, doi:10.1093/imrn/rnae005.
short: S. Shen, International Mathematics Research Notices (2024).
date_created: 2024-02-14T12:16:17Z
date_published: 2024-02-05T00:00:00Z
date_updated: 2024-02-19T10:22:44Z
day: '05'
department:
- _id: TaHa
doi: 10.1093/imrn/rnae005
ec_funded: 1
external_id:
arxiv:
- '1810.12491'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1093/imrn/rnae005
month: '02'
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: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: epub_ahead
publisher: Oxford University Press
quality_controlled: '1'
status: public
title: Tamely ramified geometric Langlands correspondence in positive characteristic
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
_id: '14737'
abstract:
- lang: eng
text: 'John’s fundamental theorem characterizing the largest volume ellipsoid contained
in a convex body $K$ in $\mathbb{R}^{d}$ has seen several generalizations and
extensions. One direction, initiated by V. Milman is to replace ellipsoids by
positions (affine images) of another body $L$. Another, more recent direction
is to consider logarithmically concave functions on $\mathbb{R}^{d}$ instead of
convex bodies: we designate some special, radially symmetric log-concave function
$g$ as the analogue of the Euclidean ball, and want to find its largest integral
position under the constraint that it is pointwise below some given log-concave
function $f$. We follow both directions simultaneously: we consider the functional
question, and allow essentially any meaningful function to play the role of $g$
above. Our general theorems jointly extend known results in both directions. The
dual problem in the setting of convex bodies asks for the smallest volume ellipsoid,
called Löwner’s ellipsoid, containing $K$. We consider the analogous problem for
functions: we characterize the solutions of the optimization problem of finding
a smallest integral position of some log-concave function $g$ under the constraint
that it is pointwise above $f$. It turns out that in the functional setting, the
relationship between the John and the Löwner problems is more intricate than it
is in the setting of convex bodies.'
acknowledgement: "We thank Alexander Litvak for the many discussions on Theorem 1.1.
Igor Tsiutsiurupa participated in the early stage of this project. To our deep regret,
Igor chose another road for his life and stopped working with us.\r\nThis work was
supported by the János Bolyai Scholarship of the Hungarian Academy of Sciences [to
M.N.]; the National Research, Development, and Innovation Fund (NRDI) [K119670 and
K131529 to M.N.]; and the ÚNKP-22-5 New National Excellence Program of the Ministry
for Innovation and Technology from the source of the NRDI [to M.N.]."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Grigory
full_name: Ivanov, Grigory
id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
last_name: Ivanov
- first_name: Márton
full_name: Naszódi, Márton
last_name: Naszódi
citation:
ama: Ivanov G, Naszódi M. Functional John and Löwner conditions for pairs of log-concave
functions. International Mathematics Research Notices. 2023;2023(23):20613-20669.
doi:10.1093/imrn/rnad210
apa: Ivanov, G., & Naszódi, M. (2023). Functional John and Löwner conditions
for pairs of log-concave functions. International Mathematics Research Notices.
Oxford University Press. https://doi.org/10.1093/imrn/rnad210
chicago: Ivanov, Grigory, and Márton Naszódi. “Functional John and Löwner Conditions
for Pairs of Log-Concave Functions.” International Mathematics Research Notices.
Oxford University Press, 2023. https://doi.org/10.1093/imrn/rnad210.
ieee: G. Ivanov and M. Naszódi, “Functional John and Löwner conditions for pairs
of log-concave functions,” International Mathematics Research Notices,
vol. 2023, no. 23. Oxford University Press, pp. 20613–20669, 2023.
ista: Ivanov G, Naszódi M. 2023. Functional John and Löwner conditions for pairs
of log-concave functions. International Mathematics Research Notices. 2023(23),
20613–20669.
mla: Ivanov, Grigory, and Márton Naszódi. “Functional John and Löwner Conditions
for Pairs of Log-Concave Functions.” International Mathematics Research Notices,
vol. 2023, no. 23, Oxford University Press, 2023, pp. 20613–69, doi:10.1093/imrn/rnad210.
short: G. Ivanov, M. Naszódi, International Mathematics Research Notices 2023 (2023)
20613–20669.
date_created: 2024-01-08T09:48:56Z
date_published: 2023-12-01T00:00:00Z
date_updated: 2024-01-08T09:57:25Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.1093/imrn/rnad210
external_id:
arxiv:
- '2212.11781'
file:
- access_level: open_access
checksum: 353666cea80633beb0f1ffd342dff6d4
content_type: application/pdf
creator: dernst
date_created: 2024-01-08T09:53:09Z
date_updated: 2024-01-08T09:53:09Z
file_id: '14738'
file_name: 2023_IMRN_Ivanov.pdf
file_size: 815777
relation: main_file
success: 1
file_date_updated: 2024-01-08T09:53:09Z
has_accepted_license: '1'
intvolume: ' 2023'
issue: '23'
keyword:
- General Mathematics
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 20613-20669
publication: International Mathematics Research Notices
publication_identifier:
eissn:
- 1687-0247
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
status: public
title: Functional John and Löwner conditions for pairs of log-concave functions
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: 2023
year: '2023'
...
---
_id: '14754'
abstract:
- lang: eng
text: The large-scale laminar/turbulent spiral patterns that appear in the linearly
unstable regime of counter-rotating Taylor–Couette flow are investigated from
a statistical perspective by means of direct numerical simulation. Unlike the
vast majority of previous numerical studies, we analyse the flow in periodic parallelogram-annular
domains, following a coordinate change that aligns one of the parallelogram sides
with the spiral pattern. The domain size, shape and spatial resolution have been
varied and the results compared with those in a sufficiently large computational
orthogonal domain with natural axial and azimuthal periodicity. We find that a
minimal parallelogram of the right tilt significantly reduces the computational
cost without notably compromising the statistical properties of the supercritical
turbulent spiral. Its mean structure, obtained from extremely long time integrations
in a co-rotating reference frame using the method of slices, bears remarkable
similarity with the turbulent stripes observed in plane Couette flow, the centrifugal
instability playing only a secondary role.
acknowledgement: K.D.’s research was supported by Australian Research Council Discovery
Early Career Researcher Award (DE170100171). B.W., R.A., F.M. and A.M. research
was supported by the Spanish Ministerio de Economía y Competitividad (grant nos.
FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant
no. PID2020-114043GB-I00) and the Generalitat de Catalunya (grant no. 2017-SGR-785).
B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC
no. 201806440152). F.M. is a Serra-Húnter Fellow.
article_number: '0112'
article_processing_charge: No
article_type: original
author:
- first_name: B.
full_name: Wang, B.
last_name: Wang
- first_name: F.
full_name: Mellibovsky, F.
last_name: Mellibovsky
- first_name: Roger
full_name: Ayats López, Roger
id: ab77522d-073b-11ed-8aff-e71b39258362
last_name: Ayats López
orcid: 0000-0001-6572-0621
- first_name: K.
full_name: Deguchi, K.
last_name: Deguchi
- first_name: A.
full_name: Meseguer, A.
last_name: Meseguer
citation:
ama: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. Mean structure
of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical
Transactions of the Royal Society A. 2023;381(2246). doi:10.1098/rsta.2022.0112
apa: Wang, B., Mellibovsky, F., Ayats López, R., Deguchi, K., & Meseguer, A.
(2023). Mean structure of the supercritical turbulent spiral in Taylor–Couette
flow. Philosophical Transactions of the Royal Society A. The Royal Society.
https://doi.org/10.1098/rsta.2022.0112
chicago: Wang, B., F. Mellibovsky, Roger Ayats López, K. Deguchi, and A. Meseguer.
“Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.”
Philosophical Transactions of the Royal Society A. The Royal Society, 2023.
https://doi.org/10.1098/rsta.2022.0112.
ieee: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, and A. Meseguer, “Mean
structure of the supercritical turbulent spiral in Taylor–Couette flow,” Philosophical
Transactions of the Royal Society A, vol. 381, no. 2246. The Royal Society,
2023.
ista: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. 2023. Mean structure
of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions
of the Royal Society A. 381(2246), 0112.
mla: Wang, B., et al. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette
Flow.” Philosophical Transactions of the Royal Society A, vol. 381, no.
2246, 0112, The Royal Society, 2023, doi:10.1098/rsta.2022.0112.
short: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, A. Meseguer, Philosophical
Transactions of the Royal Society A 381 (2023).
date_created: 2024-01-08T13:11:45Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2024-01-09T09:15:29Z
day: '01'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1098/rsta.2022.0112
external_id:
pmid:
- '36907214'
file:
- access_level: open_access
checksum: 1978d126c0ce2f47c22ac20107cc0106
content_type: application/pdf
creator: dernst
date_created: 2024-01-09T09:13:53Z
date_updated: 2024-01-09T09:13:53Z
file_id: '14763'
file_name: 2023_PhilTransactionsA_Wang_accepted.pdf
file_size: 6421086
relation: main_file
success: 1
file_date_updated: 2024-01-09T09:13:53Z
has_accepted_license: '1'
intvolume: ' 381'
issue: '2246'
keyword:
- General Physics and Astronomy
- General Engineering
- General Mathematics
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
pmid: 1
publication: Philosophical Transactions of the Royal Society A
publication_identifier:
eissn:
- 1471-2962
issn:
- 1364-503X
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mean structure of the supercritical turbulent spiral in Taylor–Couette flow
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: 381
year: '2023'
...
---
_id: '14755'
abstract:
- lang: eng
text: We consider the sharp interface limit for the scalar-valued and vector-valued
Allen–Cahn equation with homogeneous Neumann boundary condition in a bounded smooth
domain Ω of arbitrary dimension N ⩾ 2 in the situation when a two-phase diffuse
interface has developed and intersects the boundary ∂ Ω. The limit problem is
mean curvature flow with 90°-contact angle and we show convergence in strong norms
for well-prepared initial data as long as a smooth solution to the limit problem
exists. To this end we assume that the limit problem has a smooth solution on
[ 0 , T ] for some time T > 0. Based on the latter we construct suitable curvilinear
coordinates and set up an asymptotic expansion for the scalar-valued and the vector-valued
Allen–Cahn equation. In order to estimate the difference of the exact and approximate
solutions with a Gronwall-type argument, a spectral estimate for the linearized
Allen–Cahn operator in both cases is required. The latter will be shown in a separate
paper, cf. (Moser (2021)).
acknowledgement: "The author gratefully acknowledges support through DFG, GRK 1692
“Curvature,\r\nCycles and Cohomology” during parts of the work."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Maximilian
full_name: Moser, Maximilian
id: a60047a9-da77-11eb-85b4-c4dc385ebb8c
last_name: Moser
citation:
ama: 'Moser M. Convergence of the scalar- and vector-valued Allen–Cahn equation
to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence
result. Asymptotic Analysis. 2023;131(3-4):297-383. doi:10.3233/asy-221775'
apa: 'Moser, M. (2023). Convergence of the scalar- and vector-valued Allen–Cahn
equation to mean curvature flow with 90°-contact angle in higher dimensions, part
I: Convergence result. Asymptotic Analysis. IOS Press. https://doi.org/10.3233/asy-221775'
chicago: 'Moser, Maximilian. “Convergence of the Scalar- and Vector-Valued Allen–Cahn
Equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions, Part
I: Convergence Result.” Asymptotic Analysis. IOS Press, 2023. https://doi.org/10.3233/asy-221775.'
ieee: 'M. Moser, “Convergence of the scalar- and vector-valued Allen–Cahn equation
to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence
result,” Asymptotic Analysis, vol. 131, no. 3–4. IOS Press, pp. 297–383,
2023.'
ista: 'Moser M. 2023. Convergence of the scalar- and vector-valued Allen–Cahn equation
to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence
result. Asymptotic Analysis. 131(3–4), 297–383.'
mla: 'Moser, Maximilian. “Convergence of the Scalar- and Vector-Valued Allen–Cahn
Equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions, Part
I: Convergence Result.” Asymptotic Analysis, vol. 131, no. 3–4, IOS Press,
2023, pp. 297–383, doi:10.3233/asy-221775.'
short: M. Moser, Asymptotic Analysis 131 (2023) 297–383.
date_created: 2024-01-08T13:13:28Z
date_published: 2023-02-02T00:00:00Z
date_updated: 2024-01-09T09:22:16Z
day: '02'
department:
- _id: JuFi
doi: 10.3233/asy-221775
external_id:
arxiv:
- '2105.07100'
intvolume: ' 131'
issue: 3-4
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2105.07100
month: '02'
oa: 1
oa_version: Preprint
page: 297-383
publication: Asymptotic Analysis
publication_identifier:
eissn:
- 1875-8576
issn:
- 0921-7134
publication_status: published
publisher: IOS Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature
flow with 90°-contact angle in higher dimensions, part I: Convergence result'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 131
year: '2023'
...
---
_id: '12563'
abstract:
- lang: eng
text: 'he approximate graph coloring problem, whose complexity is unresolved in
most cases, concerns finding a c-coloring of a graph that is promised to be k-colorable,
where c≥k. This problem naturally generalizes to promise graph homomorphism problems
and further to promise constraint satisfaction problems. The complexity of these
problems has recently been studied through an algebraic approach. In this paper,
we introduce two new techniques to analyze the complexity of promise CSPs: one
is based on topology and the other on adjunction. We apply these techniques, together
with the previously introduced algebraic approach, to obtain new unconditional
NP-hardness results for a significant class of approximate graph coloring and
promise graph homomorphism problems.'
acknowledgement: "Andrei Krokhin and Jakub Opršal were supported by the UK EPSRC grant
EP/R034516/1. Jakub Opršal has received funding from the European Union’s Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
No 101034413. Stanislav Živný was supported by a Royal Society University Research
Fellowship. This project has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation programme
(grant agreement No 714532). The paper re\x1Eects only the authors’ views and not
the views of the ERC or the European Commission. "
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Andrei
full_name: Krokhin, Andrei
last_name: Krokhin
- first_name: Jakub
full_name: Opršal, Jakub
id: ec596741-c539-11ec-b829-c79322a91242
last_name: Opršal
orcid: 0000-0003-1245-3456
- first_name: Marcin
full_name: Wrochna, Marcin
last_name: Wrochna
- first_name: Stanislav
full_name: Živný, Stanislav
last_name: Živný
citation:
ama: Krokhin A, Opršal J, Wrochna M, Živný S. Topology and adjunction in promise
constraint satisfaction. SIAM Journal on Computing. 2023;52(1):38-79. doi:10.1137/20m1378223
apa: Krokhin, A., Opršal, J., Wrochna, M., & Živný, S. (2023). Topology and
adjunction in promise constraint satisfaction. SIAM Journal on Computing.
Society for Industrial & Applied Mathematics. https://doi.org/10.1137/20m1378223
chicago: Krokhin, Andrei, Jakub Opršal, Marcin Wrochna, and Stanislav Živný. “Topology
and Adjunction in Promise Constraint Satisfaction.” SIAM Journal on Computing.
Society for Industrial & Applied Mathematics, 2023. https://doi.org/10.1137/20m1378223.
ieee: A. Krokhin, J. Opršal, M. Wrochna, and S. Živný, “Topology and adjunction
in promise constraint satisfaction,” SIAM Journal on Computing, vol. 52,
no. 1. Society for Industrial & Applied Mathematics, pp. 38–79, 2023.
ista: Krokhin A, Opršal J, Wrochna M, Živný S. 2023. Topology and adjunction in
promise constraint satisfaction. SIAM Journal on Computing. 52(1), 38–79.
mla: Krokhin, Andrei, et al. “Topology and Adjunction in Promise Constraint Satisfaction.”
SIAM Journal on Computing, vol. 52, no. 1, Society for Industrial &
Applied Mathematics, 2023, pp. 38–79, doi:10.1137/20m1378223.
short: A. Krokhin, J. Opršal, M. Wrochna, S. Živný, SIAM Journal on Computing 52
(2023) 38–79.
date_created: 2023-02-16T07:03:52Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2023-08-01T13:11:30Z
day: '01'
department:
- _id: UlWa
doi: 10.1137/20m1378223
ec_funded: 1
external_id:
arxiv:
- '2003.11351'
isi:
- '000955000000001'
intvolume: ' 52'
isi: 1
issue: '1'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2003.11351
month: '01'
oa: 1
oa_version: Preprint
page: 38-79
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
call_identifier: H2020
grant_number: '101034413'
name: 'IST-BRIDGE: International postdoctoral program'
publication: SIAM Journal on Computing
publication_identifier:
eissn:
- 1095-7111
issn:
- 0097-5397
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Topology and adjunction in promise constraint satisfaction
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 52
year: '2023'
...
---
_id: '11447'
abstract:
- lang: eng
text: Empirical essays of fitness landscapes suggest that they may be rugged, that
is having multiple fitness peaks. Such fitness landscapes, those that have multiple
peaks, necessarily have special local structures, called reciprocal sign epistasis
(Poelwijk et al. in J Theor Biol 272:141–144, 2011). Here, we investigate the
quantitative relationship between the number of fitness peaks and the number of
reciprocal sign epistatic interactions. Previously, it has been shown (Poelwijk
et al. in J Theor Biol 272:141–144, 2011) that pairwise reciprocal sign epistasis
is a necessary but not sufficient condition for the existence of multiple peaks.
Applying discrete Morse theory, which to our knowledge has never been used in
this context, we extend this result by giving the minimal number of reciprocal
sign epistatic interactions required to create a given number of peaks.
acknowledgement: We are grateful to Herbert Edelsbrunner and Jeferson Zapata for helpful
discussions. Open access funding provided by Austrian Science Fund (FWF). Partially
supported by the ERC Consolidator (771209–CharFL) and the FWF Austrian Science Fund
(I5127-B) grants to FAK.
article_number: '74'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
- first_name: Kseniia
full_name: Khudiakova, Kseniia
id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
last_name: Khudiakova
orcid: 0000-0002-6246-1465
citation:
ama: Saona Urmeneta RJ, Kondrashov F, Khudiakova K. Relation between the number
of peaks and the number of reciprocal sign epistatic interactions. Bulletin
of Mathematical Biology. 2022;84(8). doi:10.1007/s11538-022-01029-z
apa: Saona Urmeneta, R. J., Kondrashov, F., & Khudiakova, K. (2022). Relation
between the number of peaks and the number of reciprocal sign epistatic interactions.
Bulletin of Mathematical Biology. Springer Nature. https://doi.org/10.1007/s11538-022-01029-z
chicago: Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova.
“Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic
Interactions.” Bulletin of Mathematical Biology. Springer Nature, 2022.
https://doi.org/10.1007/s11538-022-01029-z.
ieee: R. J. Saona Urmeneta, F. Kondrashov, and K. Khudiakova, “Relation between
the number of peaks and the number of reciprocal sign epistatic interactions,”
Bulletin of Mathematical Biology, vol. 84, no. 8. Springer Nature, 2022.
ista: Saona Urmeneta RJ, Kondrashov F, Khudiakova K. 2022. Relation between the
number of peaks and the number of reciprocal sign epistatic interactions. Bulletin
of Mathematical Biology. 84(8), 74.
mla: Saona Urmeneta, Raimundo J., et al. “Relation between the Number of Peaks and
the Number of Reciprocal Sign Epistatic Interactions.” Bulletin of Mathematical
Biology, vol. 84, no. 8, 74, Springer Nature, 2022, doi:10.1007/s11538-022-01029-z.
short: R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical
Biology 84 (2022).
date_created: 2022-06-17T16:16:15Z
date_published: 2022-06-17T00:00:00Z
date_updated: 2023-08-03T07:20:53Z
day: '17'
ddc:
- '510'
- '570'
department:
- _id: GradSch
- _id: NiBa
- _id: JaMa
doi: 10.1007/s11538-022-01029-z
ec_funded: 1
external_id:
isi:
- '000812509800001'
file:
- access_level: open_access
checksum: 05a1fe7d10914a00c2bca9b447993a65
content_type: application/pdf
creator: dernst
date_created: 2022-06-20T07:51:32Z
date_updated: 2022-06-20T07:51:32Z
file_id: '11455'
file_name: 2022_BulletinMathBiology_Saona.pdf
file_size: 463025
relation: main_file
success: 1
file_date_updated: 2022-06-20T07:51:32Z
has_accepted_license: '1'
intvolume: ' 84'
isi: 1
issue: '8'
keyword:
- Computational Theory and Mathematics
- General Agricultural and Biological Sciences
- Pharmacology
- General Environmental Science
- General Biochemistry
- Genetics and Molecular Biology
- General Mathematics
- Immunology
- General Neuroscience
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 26580278-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '771209'
name: Characterizing the fitness landscape on population and global scales
- _id: c098eddd-5a5b-11eb-8a69-abe27170a68f
grant_number: I05127
name: Evolutionary analysis of gene regulation
publication: Bulletin of Mathematical Biology
publication_identifier:
eissn:
- 1522-9602
issn:
- 0092-8240
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1007/s11538-022-01118-z
scopus_import: '1'
status: public
title: Relation between the number of peaks and the number of reciprocal sign epistatic
interactions
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: 84
year: '2022'
...
---
_id: '11717'
abstract:
- lang: eng
text: "We study rigidity of rational maps that come from Newton's root finding method
for polynomials of arbitrary degrees. We establish dynamical rigidity of these
maps: each point in the Julia set of a Newton map is either rigid (i.e. its orbit
can be distinguished in combinatorial terms from all other orbits), or the orbit
of this point eventually lands in the filled-in Julia set of a polynomial-like
restriction of the original map. As a corollary, we show that the Julia sets of
Newton maps in many non-trivial cases are locally connected; in particular, every
cubic Newton map without Siegel points has locally connected Julia set.\r\nIn
the parameter space of Newton maps of arbitrary degree we obtain the following
rigidity result: any two combinatorially equivalent Newton maps are quasiconformally
conjugate in a neighborhood of their Julia sets provided that they either non-renormalizable,
or they are both renormalizable “in the same way”.\r\nOur main tool is a generalized
renormalization concept called “complex box mappings” for which we extend a dynamical
rigidity result by Kozlovski and van Strien so as to include irrationally indifferent
and renormalizable situations."
acknowledgement: 'We are grateful to a number of colleagues for helpful and inspiring
discussions during the time when we worked on this project, in particular Dima Dudko,
Misha Hlushchanka, John Hubbard, Misha Lyubich, Oleg Kozlovski, and Sebastian van
Strien. Finally, we would like to thank our dynamics research group for numerous
helpful and enjoyable discussions: Konstantin Bogdanov, Roman Chernov, Russell Lodge,
Steffen Maaß, David Pfrang, Bernhard Reinke, Sergey Shemyakov, and Maik Sowinski.
We gratefully acknowledge support by the Advanced Grant “HOLOGRAM” (#695 621) of
the European Research Council (ERC), as well as hospitality of Cornell University
in the spring of 2018 while much of this work was prepared. The first-named author
also acknowledges the support of the ERC Advanced Grant “SPERIG” (#885 707).'
article_number: '108591'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Kostiantyn
full_name: Drach, Kostiantyn
id: fe8209e2-906f-11eb-847d-950f8fc09115
last_name: Drach
orcid: 0000-0002-9156-8616
- first_name: Dierk
full_name: Schleicher, Dierk
last_name: Schleicher
citation:
ama: Drach K, Schleicher D. Rigidity of Newton dynamics. Advances in Mathematics.
2022;408(Part A). doi:10.1016/j.aim.2022.108591
apa: Drach, K., & Schleicher, D. (2022). Rigidity of Newton dynamics. Advances
in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2022.108591
chicago: Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.”
Advances in Mathematics. Elsevier, 2022. https://doi.org/10.1016/j.aim.2022.108591.
ieee: K. Drach and D. Schleicher, “Rigidity of Newton dynamics,” Advances in
Mathematics, vol. 408, no. Part A. Elsevier, 2022.
ista: Drach K, Schleicher D. 2022. Rigidity of Newton dynamics. Advances in Mathematics.
408(Part A), 108591.
mla: Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” Advances
in Mathematics, vol. 408, no. Part A, 108591, Elsevier, 2022, doi:10.1016/j.aim.2022.108591.
short: K. Drach, D. Schleicher, Advances in Mathematics 408 (2022).
date_created: 2022-08-01T17:08:16Z
date_published: 2022-10-29T00:00:00Z
date_updated: 2023-08-03T12:36:07Z
day: '29'
ddc:
- '510'
department:
- _id: VaKa
doi: 10.1016/j.aim.2022.108591
ec_funded: 1
external_id:
isi:
- '000860924200005'
file:
- access_level: open_access
checksum: 2710e6f5820f8c20a676ddcbb30f0e8d
content_type: application/pdf
creator: dernst
date_created: 2023-02-02T07:39:09Z
date_updated: 2023-02-02T07:39:09Z
file_id: '12474'
file_name: 2022_AdvancesMathematics_Drach.pdf
file_size: 2164036
relation: main_file
success: 1
file_date_updated: 2023-02-02T07:39:09Z
has_accepted_license: '1'
intvolume: ' 408'
isi: 1
issue: Part A
keyword:
- General Mathematics
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A
call_identifier: H2020
grant_number: '885707'
name: Spectral rigidity and integrability for billiards and geodesic flows
publication: Advances in Mathematics
publication_identifier:
issn:
- 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Rigidity of Newton dynamics
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 408
year: '2022'
...
---
_id: '9311'
abstract:
- lang: eng
text: 'Partially observable Markov decision processes (POMDPs) are standard models
for dynamic systems with probabilistic and nondeterministic behaviour in uncertain
environments. We prove that in POMDPs with long-run average objective, the decision
maker has approximately optimal strategies with finite memory. This implies notably
that approximating the long-run value is recursively enumerable, as well as a
weak continuity property of the value with respect to the transition function. '
acknowledgement: "Partially supported by Austrian Science Fund (FWF) NFN Grant No
RiSE/SHiNE S11407, by CONICYT Chile through grant PII 20150140, and by ECOS-CONICYT
through grant C15E03.\r\n"
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
- first_name: Bruno
full_name: Ziliotto, Bruno
last_name: Ziliotto
citation:
ama: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. Finite-memory strategies in POMDPs
with long-run average objectives. Mathematics of Operations Research. 2022;47(1):100-119.
doi:10.1287/moor.2020.1116
apa: Chatterjee, K., Saona Urmeneta, R. J., & Ziliotto, B. (2022). Finite-memory
strategies in POMDPs with long-run average objectives. Mathematics of Operations
Research. Institute for Operations Research and the Management Sciences. https://doi.org/10.1287/moor.2020.1116
chicago: Chatterjee, Krishnendu, Raimundo J Saona Urmeneta, and Bruno Ziliotto.
“Finite-Memory Strategies in POMDPs with Long-Run Average Objectives.” Mathematics
of Operations Research. Institute for Operations Research and the Management
Sciences, 2022. https://doi.org/10.1287/moor.2020.1116.
ieee: K. Chatterjee, R. J. Saona Urmeneta, and B. Ziliotto, “Finite-memory strategies
in POMDPs with long-run average objectives,” Mathematics of Operations Research,
vol. 47, no. 1. Institute for Operations Research and the Management Sciences,
pp. 100–119, 2022.
ista: Chatterjee K, Saona Urmeneta RJ, Ziliotto B. 2022. Finite-memory strategies
in POMDPs with long-run average objectives. Mathematics of Operations Research.
47(1), 100–119.
mla: Chatterjee, Krishnendu, et al. “Finite-Memory Strategies in POMDPs with Long-Run
Average Objectives.” Mathematics of Operations Research, vol. 47, no. 1,
Institute for Operations Research and the Management Sciences, 2022, pp. 100–19,
doi:10.1287/moor.2020.1116.
short: K. Chatterjee, R.J. Saona Urmeneta, B. Ziliotto, Mathematics of Operations
Research 47 (2022) 100–119.
date_created: 2021-04-08T09:33:31Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2023-09-05T13:16:11Z
day: '01'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1287/moor.2020.1116
external_id:
arxiv:
- '1904.13360'
isi:
- '000731918100001'
intvolume: ' 47'
isi: 1
issue: '1'
keyword:
- Management Science and Operations Research
- General Mathematics
- Computer Science Applications
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1904.13360
month: '02'
oa: 1
oa_version: Preprint
page: 100-119
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Mathematics of Operations Research
publication_identifier:
eissn:
- 1526-5471
issn:
- 0364-765X
publication_status: published
publisher: Institute for Operations Research and the Management Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finite-memory strategies in POMDPs with long-run average objectives
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 47
year: '2022'
...
---
_id: '12154'
abstract:
- lang: eng
text: We review our theoretical results of the sound propagation in two-dimensional
(2D) systems of ultracold fermionic and bosonic atoms. In the superfluid phase,
characterized by the spontaneous symmetry breaking of the U(1) symmetry, there
is the coexistence of first and second sound. In the case of weakly-interacting
repulsive bosons, we model the recent measurements of the sound velocities of
39K atoms in 2D obtained in the weakly-interacting regime and around the Berezinskii–Kosterlitz–Thouless
(BKT) superfluid-to-normal transition temperature. In particular, we perform a
quite accurate computation of the superfluid density and show that it is reasonably
consistent with the experimental results. For superfluid attractive fermions,
we calculate the first and second sound velocities across the whole BCS-BEC crossover.
In the low-temperature regime, we reproduce the recent measurements of first-sound
speed with 6Li atoms. We also predict that there is mixing between sound modes
only in the finite-temperature BEC regime.
acknowledgement: "This research is partially supported by University of Padova, BIRD
grant “Ultracold atoms\r\nin curved geometries”. KF is supported by Fondazione CARIPARO
with a PhD fellowship. AT is\r\npartially supported by French National Research
Agency ANR Grant Droplets N. ANR-19-CE30-0003-02. LS thanks Herwig Ott and Sandro
Wimberger for their kind invitation to the\r\nInternational Workshop “Quantum Transport
with ultracold atoms” (2022)."
article_number: '2182'
article_processing_charge: Yes
article_type: original
author:
- first_name: Luca
full_name: Salasnich, Luca
last_name: Salasnich
- first_name: Alberto
full_name: Cappellaro, Alberto
id: 9d13b3cb-30a2-11eb-80dc-f772505e8660
last_name: Cappellaro
orcid: 0000-0001-6110-2359
- first_name: Koichiro
full_name: Furutani, Koichiro
last_name: Furutani
- first_name: Andrea
full_name: Tononi, Andrea
last_name: Tononi
- first_name: Giacomo
full_name: Bighin, Giacomo
id: 4CA96FD4-F248-11E8-B48F-1D18A9856A87
last_name: Bighin
orcid: 0000-0001-8823-9777
citation:
ama: Salasnich L, Cappellaro A, Furutani K, Tononi A, Bighin G. First and second
sound in two-dimensional bosonic and fermionic superfluids. Symmetry. 2022;14(10).
doi:10.3390/sym14102182
apa: Salasnich, L., Cappellaro, A., Furutani, K., Tononi, A., & Bighin, G. (2022).
First and second sound in two-dimensional bosonic and fermionic superfluids. Symmetry.
MDPI. https://doi.org/10.3390/sym14102182
chicago: Salasnich, Luca, Alberto Cappellaro, Koichiro Furutani, Andrea Tononi,
and Giacomo Bighin. “First and Second Sound in Two-Dimensional Bosonic and Fermionic
Superfluids.” Symmetry. MDPI, 2022. https://doi.org/10.3390/sym14102182.
ieee: L. Salasnich, A. Cappellaro, K. Furutani, A. Tononi, and G. Bighin, “First
and second sound in two-dimensional bosonic and fermionic superfluids,” Symmetry,
vol. 14, no. 10. MDPI, 2022.
ista: Salasnich L, Cappellaro A, Furutani K, Tononi A, Bighin G. 2022. First and
second sound in two-dimensional bosonic and fermionic superfluids. Symmetry. 14(10),
2182.
mla: Salasnich, Luca, et al. “First and Second Sound in Two-Dimensional Bosonic
and Fermionic Superfluids.” Symmetry, vol. 14, no. 10, 2182, MDPI, 2022,
doi:10.3390/sym14102182.
short: L. Salasnich, A. Cappellaro, K. Furutani, A. Tononi, G. Bighin, Symmetry
14 (2022).
date_created: 2023-01-12T12:08:31Z
date_published: 2022-10-17T00:00:00Z
date_updated: 2023-08-09T10:13:17Z
day: '17'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.3390/sym14102182
external_id:
isi:
- '000875039200001'
file:
- access_level: open_access
checksum: 9b6bd0e484834dd76d7b26e3c5fba8bd
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T10:56:12Z
date_updated: 2023-01-24T10:56:12Z
file_id: '12361'
file_name: 2022_Symmetry_Salsnich.pdf
file_size: 843723
relation: main_file
success: 1
file_date_updated: 2023-01-24T10:56:12Z
has_accepted_license: '1'
intvolume: ' 14'
isi: 1
issue: '10'
keyword:
- Physics and Astronomy (miscellaneous)
- General Mathematics
- Chemistry (miscellaneous)
- Computer Science (miscellaneous)
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: Symmetry
publication_identifier:
issn:
- 2073-8994
publication_status: published
publisher: MDPI
quality_controlled: '1'
scopus_import: '1'
status: public
title: First and second sound in two-dimensional bosonic and fermionic superfluids
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 14
year: '2022'
...
---
_id: '12210'
abstract:
- lang: eng
text: "The aim of this paper is to find new estimates for the norms of functions
of a (minus) distinguished Laplace operator L on the ‘ax+b’ groups. The central
part is devoted to spectrally localized wave propagators, that is, functions of
the type ψ(L−−√)exp(itL−−√), with ψ∈C0(R). We show that for t→+∞, the convolution
kernel kt of this operator satisfies\r\n∥kt∥1≍t,∥kt∥∞≍1,\r\nso that the upper
estimates of D. Müller and C. Thiele (Studia Math., 2007) are sharp. As a necessary
component, we recall the Plancherel density of L and spend certain time presenting
and comparing different approaches to its calculation. Using its explicit form,
we estimate uniform norms of several functions of the shifted Laplace-Beltrami
operator Δ~, closely related to L. The functions include in particular exp(−tΔ~γ),
t>0,γ>0, and (Δ~−z)s, with complex z, s."
acknowledgement: "Yu. K. thanks Professor Waldemar Hebisch for valuable discussions
on the general context of multipliers on Lie groups. This work was started during
an ICL-CNRS fellowship of the second\r\nnamed author at the Imperial College London.
Yu. K. is supported by the ANR-19-CE40-0002 grant of the French National Research
Agency (ANR). H. Z. is supported by the European Union’s Horizon 2020 research and
innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411
and the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337. R. A. was supported
by the EPSRC grant EP/R003025. M. R. is supported by the EPSRC grant EP/R003025/2
and by the FWO Odysseus 1 grant G.0H94.18N: Analysis and Partial Differential Equations."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rauan
full_name: Akylzhanov, Rauan
last_name: Akylzhanov
- first_name: Yulia
full_name: Kuznetsova, Yulia
last_name: Kuznetsova
- first_name: Michael
full_name: Ruzhansky, Michael
last_name: Ruzhansky
- first_name: Haonan
full_name: Zhang, Haonan
id: D8F41E38-9E66-11E9-A9E2-65C2E5697425
last_name: Zhang
citation:
ama: Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H. Norms of certain functions
of a distinguished Laplacian on the ax + b groups. Mathematische Zeitschrift.
2022;302(4):2327-2352. doi:10.1007/s00209-022-03143-z
apa: Akylzhanov, R., Kuznetsova, Y., Ruzhansky, M., & Zhang, H. (2022). Norms
of certain functions of a distinguished Laplacian on the ax + b groups. Mathematische
Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-022-03143-z
chicago: Akylzhanov, Rauan, Yulia Kuznetsova, Michael Ruzhansky, and Haonan Zhang.
“Norms of Certain Functions of a Distinguished Laplacian on the Ax + b Groups.”
Mathematische Zeitschrift. Springer Nature, 2022. https://doi.org/10.1007/s00209-022-03143-z.
ieee: R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, and H. Zhang, “Norms of certain
functions of a distinguished Laplacian on the ax + b groups,” Mathematische
Zeitschrift, vol. 302, no. 4. Springer Nature, pp. 2327–2352, 2022.
ista: Akylzhanov R, Kuznetsova Y, Ruzhansky M, Zhang H. 2022. Norms of certain functions
of a distinguished Laplacian on the ax + b groups. Mathematische Zeitschrift.
302(4), 2327–2352.
mla: Akylzhanov, Rauan, et al. “Norms of Certain Functions of a Distinguished Laplacian
on the Ax + b Groups.” Mathematische Zeitschrift, vol. 302, no. 4, Springer
Nature, 2022, pp. 2327–52, doi:10.1007/s00209-022-03143-z.
short: R. Akylzhanov, Y. Kuznetsova, M. Ruzhansky, H. Zhang, Mathematische Zeitschrift
302 (2022) 2327–2352.
date_created: 2023-01-16T09:45:31Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2023-08-04T09:22:14Z
day: '01'
department:
- _id: JaMa
doi: 10.1007/s00209-022-03143-z
ec_funded: 1
external_id:
arxiv:
- '2101.00584'
isi:
- '000859680700001'
intvolume: ' 302'
isi: 1
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2101.00584
month: '12'
oa: 1
oa_version: Preprint
page: 2327-2352
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: eb958bca-77a9-11ec-83b8-c565cb50d8d6
grant_number: M03337
name: Curvature-dimension in noncommutative analysis
publication: Mathematische Zeitschrift
publication_identifier:
eissn:
- 1432-1823
issn:
- 0025-5874
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Norms of certain functions of a distinguished Laplacian on the ax + b groups
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 302
year: '2022'
...
---
_id: '12214'
abstract:
- lang: eng
text: 'Motivated by Kloeckner’s result on the isometry group of the quadratic Wasserstein
space W2(Rn), we describe the isometry group Isom(Wp(E)) for all parameters 0
< p < ∞ and for all separable real Hilbert spaces E. In particular, we show that
Wp(X) is isometrically rigid for all Polish space X whenever 0 < p < 1. This is
a consequence of our more general result: we prove that W1(X) is isometrically
rigid if X is a complete separable metric space that satisfies the strict triangle
inequality. Furthermore, we show that this latter rigidity result does not generalise
to parameters p > 1, by solving Kloeckner’s problem affirmatively on the existence
of mass-splitting isometries. '
acknowledgement: "Geher was supported by the Leverhulme Trust Early Career Fellowship
(ECF-2018-125), and also by the Hungarian National Research, Development and Innovation
Office - NKFIH (grant no. K115383 and K134944).\r\nTitkos was supported by the Hungarian
National Research, Development and Innovation Office - NKFIH (grant no. PD128374,
grant no. K115383 and K134944), by the J´anos Bolyai Research Scholarship of the
Hungarian Academy of Sciences, and by the UNKP-20-5-BGE-1 New National Excellence
Program of the ´Ministry of Innovation and Technology.\r\nVirosztek was supported
by the European Union’s Horizon 2020 research and innovation program under the Marie
Sklodowska-Curie Grant Agreement No. 846294, by the Momentum program of the Hungarian
Academy of Sciences under grant agreement no. LP2021-15/2021, and partially supported
by the Hungarian National Research, Development and Innovation Office - NKFIH (grants
no. K124152 and no. KH129601). "
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: György Pál
full_name: Gehér, György Pál
last_name: Gehér
- first_name: Tamás
full_name: Titkos, Tamás
last_name: Titkos
- first_name: Daniel
full_name: Virosztek, Daniel
id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
last_name: Virosztek
orcid: 0000-0003-1109-5511
citation:
ama: 'Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces:
The Hilbertian case. Journal of the London Mathematical Society. 2022;106(4):3865-3894.
doi:10.1112/jlms.12676'
apa: 'Gehér, G. P., Titkos, T., & Virosztek, D. (2022). The isometry group of
Wasserstein spaces: The Hilbertian case. Journal of the London Mathematical
Society. Wiley. https://doi.org/10.1112/jlms.12676'
chicago: 'Gehér, György Pál, Tamás Titkos, and Daniel Virosztek. “The Isometry Group
of Wasserstein Spaces: The Hilbertian Case.” Journal of the London Mathematical
Society. Wiley, 2022. https://doi.org/10.1112/jlms.12676.'
ieee: 'G. P. Gehér, T. Titkos, and D. Virosztek, “The isometry group of Wasserstein
spaces: The Hilbertian case,” Journal of the London Mathematical Society,
vol. 106, no. 4. Wiley, pp. 3865–3894, 2022.'
ista: 'Gehér GP, Titkos T, Virosztek D. 2022. The isometry group of Wasserstein
spaces: The Hilbertian case. Journal of the London Mathematical Society. 106(4),
3865–3894.'
mla: 'Gehér, György Pál, et al. “The Isometry Group of Wasserstein Spaces: The Hilbertian
Case.” Journal of the London Mathematical Society, vol. 106, no. 4, Wiley,
2022, pp. 3865–94, doi:10.1112/jlms.12676.'
short: G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society
106 (2022) 3865–3894.
date_created: 2023-01-16T09:46:13Z
date_published: 2022-09-18T00:00:00Z
date_updated: 2023-08-04T09:24:17Z
day: '18'
department:
- _id: LaEr
doi: 10.1112/jlms.12676
ec_funded: 1
external_id:
arxiv:
- '2102.02037'
isi:
- '000854878500001'
intvolume: ' 106'
isi: 1
issue: '4'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2102.02037
month: '09'
oa: 1
oa_version: Preprint
page: 3865-3894
project:
- _id: 26A455A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '846294'
name: Geometric study of Wasserstein spaces and free probability
publication: Journal of the London Mathematical Society
publication_identifier:
eissn:
- 1469-7750
issn:
- 0024-6107
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The isometry group of Wasserstein spaces: The Hilbertian case'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '12307'
abstract:
- lang: eng
text: Point-set topology is among the most abstract branches of mathematics in that
it lacks tangible notions of distance, length, magnitude, order, and size. There
is no shape, no geometry, no algebra, and no direction. Everything we are used
to visualizing is gone. In the teaching and learning of mathematics, this can
present a conundrum. Yet, this very property makes point set topology perfect
for teaching and learning abstract mathematical concepts. It clears our minds
of preconceived intuitions and expectations and forces us to think in new and
creative ways. In this paper, we present guided investigations into topology through
questions and thinking strategies that open up fascinating problems. They are
intended for faculty who already teach or are thinking about teaching a class
in topology or abstract mathematical reasoning for undergraduates. They can be
used to build simple to challenging projects in topology, proofs, honors programs,
and research experiences.
article_processing_charge: No
article_type: original
author:
- first_name: Barbara A.
full_name: Shipman, Barbara A.
last_name: Shipman
- first_name: Elizabeth R
full_name: Stephenson, Elizabeth R
id: 2D04F932-F248-11E8-B48F-1D18A9856A87
last_name: Stephenson
orcid: 0000-0002-6862-208X
citation:
ama: Shipman BA, Stephenson ER. Tangible topology through the lens of limits. PRIMUS.
2022;32(5):593-609. doi:10.1080/10511970.2021.1872750
apa: Shipman, B. A., & Stephenson, E. R. (2022). Tangible topology through the
lens of limits. PRIMUS. Taylor & Francis. https://doi.org/10.1080/10511970.2021.1872750
chicago: Shipman, Barbara A., and Elizabeth R Stephenson. “Tangible Topology through
the Lens of Limits.” PRIMUS. Taylor & Francis, 2022. https://doi.org/10.1080/10511970.2021.1872750.
ieee: B. A. Shipman and E. R. Stephenson, “Tangible topology through the lens of
limits,” PRIMUS, vol. 32, no. 5. Taylor & Francis, pp. 593–609, 2022.
ista: Shipman BA, Stephenson ER. 2022. Tangible topology through the lens of limits.
PRIMUS. 32(5), 593–609.
mla: Shipman, Barbara A., and Elizabeth R. Stephenson. “Tangible Topology through
the Lens of Limits.” PRIMUS, vol. 32, no. 5, Taylor & Francis, 2022,
pp. 593–609, doi:10.1080/10511970.2021.1872750.
short: B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609.
date_created: 2023-01-16T10:07:21Z
date_published: 2022-05-28T00:00:00Z
date_updated: 2023-01-30T13:02:30Z
day: '28'
department:
- _id: HeEd
- _id: GradSch
doi: 10.1080/10511970.2021.1872750
intvolume: ' 32'
issue: '5'
keyword:
- Education
- General Mathematics
language:
- iso: eng
month: '05'
oa_version: None
page: 593-609
publication: PRIMUS
publication_identifier:
eissn:
- 1935-4053
issn:
- 1051-1970
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tangible topology through the lens of limits
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 32
year: '2022'
...
---
_id: '10860'
abstract:
- lang: eng
text: A tight frame is the orthogonal projection of some orthonormal basis of Rn
onto Rk. We show that a set of vectors is a tight frame if and only if the set
of all cross products of these vectors is a tight frame. We reformulate a range
of problems on the volume of projections (or sections) of regular polytopes in
terms of tight frames and write a first-order necessary condition for local extrema
of these problems. As applications, we prove new results for the problem of maximization
of the volume of zonotopes.
acknowledgement: The author was supported by the Swiss National Science Foundation
grant 200021_179133. The author acknowledges the financial support from the Ministry
of Education and Science of the Russian Federation in the framework of MegaGrant
no. 075-15-2019-1926.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Grigory
full_name: Ivanov, Grigory
id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
last_name: Ivanov
citation:
ama: Ivanov G. Tight frames and related geometric problems. Canadian Mathematical
Bulletin. 2021;64(4):942-963. doi:10.4153/s000843952000096x
apa: Ivanov, G. (2021). Tight frames and related geometric problems. Canadian
Mathematical Bulletin. Canadian Mathematical Society. https://doi.org/10.4153/s000843952000096x
chicago: Ivanov, Grigory. “Tight Frames and Related Geometric Problems.” Canadian
Mathematical Bulletin. Canadian Mathematical Society, 2021. https://doi.org/10.4153/s000843952000096x.
ieee: G. Ivanov, “Tight frames and related geometric problems,” Canadian Mathematical
Bulletin, vol. 64, no. 4. Canadian Mathematical Society, pp. 942–963, 2021.
ista: Ivanov G. 2021. Tight frames and related geometric problems. Canadian Mathematical
Bulletin. 64(4), 942–963.
mla: Ivanov, Grigory. “Tight Frames and Related Geometric Problems.” Canadian
Mathematical Bulletin, vol. 64, no. 4, Canadian Mathematical Society, 2021,
pp. 942–63, doi:10.4153/s000843952000096x.
short: G. Ivanov, Canadian Mathematical Bulletin 64 (2021) 942–963.
date_created: 2022-03-18T09:55:59Z
date_published: 2021-12-18T00:00:00Z
date_updated: 2023-09-05T12:43:09Z
day: '18'
department:
- _id: UlWa
doi: 10.4153/s000843952000096x
external_id:
arxiv:
- '1804.10055'
isi:
- '000730165300021'
intvolume: ' 64'
isi: 1
issue: '4'
keyword:
- General Mathematics
- Tight frame
- Grassmannian
- zonotope
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.10055
month: '12'
oa: 1
oa_version: Preprint
page: 942-963
publication: Canadian Mathematical Bulletin
publication_identifier:
eissn:
- 1496-4287
issn:
- 0008-4395
publication_status: published
publisher: Canadian Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tight frames and related geometric problems
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 64
year: '2021'
...
---
_id: '8773'
abstract:
- lang: eng
text: Let g be a complex semisimple Lie algebra. We give a classification of contravariant
forms on the nondegenerate Whittaker g-modules Y(χ,η) introduced by Kostant. We
prove that the set of all contravariant forms on Y(χ,η) forms a vector space whose
dimension is given by the cardinality of the Weyl group of g. We also describe
a procedure for parabolically inducing contravariant forms. As a corollary, we
deduce the existence of the Shapovalov form on a Verma module, and provide a formula
for the dimension of the space of contravariant forms on the degenerate Whittaker
modules M(χ,η) introduced by McDowell.
acknowledgement: "We would like to thank Peter Trapa for useful discussions, and Dragan
Milicic and Arun Ram for valuable feedback on the structure of the paper. The first
author acknowledges the support of the European Unions Horizon 2020 research and
innovation programme under the Marie Skodowska-Curie Grant Agreement No. 754411.
The second author is\r\nsupported by the National Science Foundation Award No. 1803059."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Adam
full_name: Brown, Adam
id: 70B7FDF6-608D-11E9-9333-8535E6697425
last_name: Brown
- first_name: Anna
full_name: Romanov, Anna
last_name: Romanov
citation:
ama: Brown A, Romanov A. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 2021;149(1):37-52. doi:10.1090/proc/15205
apa: Brown, A., & Romanov, A. (2021). Contravariant forms on Whittaker modules.
Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/proc/15205
chicago: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society. American Mathematical
Society, 2021. https://doi.org/10.1090/proc/15205.
ieee: A. Brown and A. Romanov, “Contravariant forms on Whittaker modules,” Proceedings
of the American Mathematical Society, vol. 149, no. 1. American Mathematical
Society, pp. 37–52, 2021.
ista: Brown A, Romanov A. 2021. Contravariant forms on Whittaker modules. Proceedings
of the American Mathematical Society. 149(1), 37–52.
mla: Brown, Adam, and Anna Romanov. “Contravariant Forms on Whittaker Modules.”
Proceedings of the American Mathematical Society, vol. 149, no. 1, American
Mathematical Society, 2021, pp. 37–52, doi:10.1090/proc/15205.
short: A. Brown, A. Romanov, Proceedings of the American Mathematical Society 149
(2021) 37–52.
date_created: 2020-11-19T10:17:40Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-08-04T11:11:47Z
day: '01'
department:
- _id: HeEd
doi: 10.1090/proc/15205
ec_funded: 1
external_id:
arxiv:
- '1910.08286'
isi:
- '000600416300004'
intvolume: ' 149'
isi: 1
issue: '1'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.08286
month: '01'
oa: 1
oa_version: Preprint
page: 37-52
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
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'
status: public
title: Contravariant forms on Whittaker modules
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 149
year: '2021'
...
---
_id: '9036'
abstract:
- lang: eng
text: In this short note, we prove that the square root of the quantum Jensen-Shannon
divergence is a true metric on the cone of positive matrices, and hence in particular
on the quantum state space.
acknowledgement: D. Virosztek was supported by the European Union's Horizon 2020 research
and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 846294,
and partially supported by the Hungarian National Research, Development and Innovation
Office (NKFIH) via grants no. K124152, and no. KH129601.
article_number: '107595'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Daniel
full_name: Virosztek, Daniel
id: 48DB45DA-F248-11E8-B48F-1D18A9856A87
last_name: Virosztek
orcid: 0000-0003-1109-5511
citation:
ama: Virosztek D. The metric property of the quantum Jensen-Shannon divergence.
Advances in Mathematics. 2021;380(3). doi:10.1016/j.aim.2021.107595
apa: Virosztek, D. (2021). The metric property of the quantum Jensen-Shannon divergence.
Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2021.107595
chicago: Virosztek, Daniel. “The Metric Property of the Quantum Jensen-Shannon Divergence.”
Advances in Mathematics. Elsevier, 2021. https://doi.org/10.1016/j.aim.2021.107595.
ieee: D. Virosztek, “The metric property of the quantum Jensen-Shannon divergence,”
Advances in Mathematics, vol. 380, no. 3. Elsevier, 2021.
ista: Virosztek D. 2021. The metric property of the quantum Jensen-Shannon divergence.
Advances in Mathematics. 380(3), 107595.
mla: Virosztek, Daniel. “The Metric Property of the Quantum Jensen-Shannon Divergence.”
Advances in Mathematics, vol. 380, no. 3, 107595, Elsevier, 2021, doi:10.1016/j.aim.2021.107595.
short: D. Virosztek, Advances in Mathematics 380 (2021).
date_created: 2021-01-22T17:55:17Z
date_published: 2021-03-26T00:00:00Z
date_updated: 2023-08-07T13:34:48Z
day: '26'
department:
- _id: LaEr
doi: 10.1016/j.aim.2021.107595
ec_funded: 1
external_id:
arxiv:
- '1910.10447'
isi:
- '000619676100035'
intvolume: ' 380'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1910.10447
month: '03'
oa: 1
oa_version: Preprint
project:
- _id: 26A455A6-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '846294'
name: Geometric study of Wasserstein spaces and free probability
publication: Advances in Mathematics
publication_identifier:
issn:
- 0001-8708
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: The metric property of the quantum Jensen-Shannon divergence
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 380
year: '2021'
...
---
_id: '10867'
abstract:
- lang: eng
text: In this paper we find a tight estimate for Gromov’s waist of the balls in
spaces of constant curvature, deduce the estimates for the balls in Riemannian
manifolds with upper bounds on the curvature (CAT(ϰ)-spaces), and establish similar
result for normed spaces.
acknowledgement: ' Supported by the Russian Foundation for Basic Research grant 18-01-00036.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Arseniy
full_name: Akopyan, Arseniy
id: 430D2C90-F248-11E8-B48F-1D18A9856A87
last_name: Akopyan
orcid: 0000-0002-2548-617X
- first_name: Roman
full_name: Karasev, Roman
last_name: Karasev
citation:
ama: Akopyan A, Karasev R. Waist of balls in hyperbolic and spherical spaces. International
Mathematics Research Notices. 2020;2020(3):669-697. doi:10.1093/imrn/rny037
apa: Akopyan, A., & Karasev, R. (2020). Waist of balls in hyperbolic and spherical
spaces. International Mathematics Research Notices. Oxford University Press.
https://doi.org/10.1093/imrn/rny037
chicago: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and
Spherical Spaces.” International Mathematics Research Notices. Oxford University
Press, 2020. https://doi.org/10.1093/imrn/rny037.
ieee: A. Akopyan and R. Karasev, “Waist of balls in hyperbolic and spherical spaces,”
International Mathematics Research Notices, vol. 2020, no. 3. Oxford University
Press, pp. 669–697, 2020.
ista: Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces.
International Mathematics Research Notices. 2020(3), 669–697.
mla: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical
Spaces.” International Mathematics Research Notices, vol. 2020, no. 3,
Oxford University Press, 2020, pp. 669–97, doi:10.1093/imrn/rny037.
short: A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020)
669–697.
date_created: 2022-03-18T11:39:30Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2023-08-24T14:19:55Z
day: '01'
department:
- _id: HeEd
doi: 10.1093/imrn/rny037
external_id:
arxiv:
- '1702.07513'
isi:
- '000522852700002'
intvolume: ' 2020'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1702.07513
month: '02'
oa: 1
oa_version: Preprint
page: 669-697
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: Waist of balls in hyperbolic and spherical spaces
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2020
year: '2020'
...
---
_id: '14694'
abstract:
- lang: eng
text: We study the unique solution m of the Dyson equation \( -m(z)^{-1} = z\1 -
a + S[m(z)] \) on a von Neumann algebra A with the constraint Imm≥0. Here, z lies
in the complex upper half-plane, a is a self-adjoint element of A and S is a positivity-preserving
linear operator on A. We show that m is the Stieltjes transform of a compactly
supported A-valued measure on R. Under suitable assumptions, we establish that
this measure has a uniformly 1/3-Hölder continuous density with respect to the
Lebesgue measure, which is supported on finitely many intervals, called bands.
In fact, the density is analytic inside the bands with a square-root growth at
the edges and internal cubic root cusps whenever the gap between two bands vanishes.
The shape of these singularities is universal and no other singularity may occur.
We give a precise asymptotic description of m near the singular points. These
asymptotics generalize the analysis at the regular edges given in the companion
paper on the Tracy-Widom universality for the edge eigenvalue statistics for correlated
random matrices [the first author et al., Ann. Probab. 48, No. 2, 963--1001 (2020;
Zbl 1434.60017)] and they play a key role in the proof of the Pearcey universality
at the cusp for Wigner-type matrices [G. Cipolloni et al., Pure Appl. Anal. 1,
No. 4, 615--707 (2019; Zbl 07142203); the second author et al., Commun. Math.
Phys. 378, No. 2, 1203--1278 (2020; Zbl 07236118)]. We also extend the finite
dimensional band mass formula from [the first author et al., loc. cit.] to the
von Neumann algebra setting by showing that the spectral mass of the bands is
topologically rigid under deformations and we conclude that these masses are quantized
in some important cases.
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Johannes
full_name: Alt, Johannes
id: 36D3D8B6-F248-11E8-B48F-1D18A9856A87
last_name: Alt
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Torben H
full_name: Krüger, Torben H
id: 3020C786-F248-11E8-B48F-1D18A9856A87
last_name: Krüger
orcid: 0000-0002-4821-3297
citation:
ama: 'Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral
bands, edges and cusps. Documenta Mathematica. 2020;25:1421-1539. doi:10.4171/dm/780'
apa: 'Alt, J., Erdös, L., & Krüger, T. H. (2020). The Dyson equation with linear
self-energy: Spectral bands, edges and cusps. Documenta Mathematica. EMS
Press. https://doi.org/10.4171/dm/780'
chicago: 'Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation
with Linear Self-Energy: Spectral Bands, Edges and Cusps.” Documenta Mathematica.
EMS Press, 2020. https://doi.org/10.4171/dm/780.'
ieee: 'J. Alt, L. Erdös, and T. H. Krüger, “The Dyson equation with linear self-energy:
Spectral bands, edges and cusps,” Documenta Mathematica, vol. 25. EMS Press,
pp. 1421–1539, 2020.'
ista: 'Alt J, Erdös L, Krüger TH. 2020. The Dyson equation with linear self-energy:
Spectral bands, edges and cusps. Documenta Mathematica. 25, 1421–1539.'
mla: 'Alt, Johannes, et al. “The Dyson Equation with Linear Self-Energy: Spectral
Bands, Edges and Cusps.” Documenta Mathematica, vol. 25, EMS Press, 2020,
pp. 1421–539, doi:10.4171/dm/780.'
short: J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
date_created: 2023-12-18T10:37:43Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2023-12-18T10:46:09Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.4171/dm/780
external_id:
arxiv:
- '1804.07752'
file:
- access_level: open_access
checksum: 12aacc1d63b852ff9a51c1f6b218d4a6
content_type: application/pdf
creator: dernst
date_created: 2023-12-18T10:42:32Z
date_updated: 2023-12-18T10:42:32Z
file_id: '14695'
file_name: 2020_DocumentaMathematica_Alt.pdf
file_size: 1374708
relation: main_file
success: 1
file_date_updated: 2023-12-18T10:42:32Z
has_accepted_license: '1'
intvolume: ' 25'
keyword:
- General Mathematics
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 1421-1539
publication: Documenta Mathematica
publication_identifier:
eissn:
- 1431-0643
issn:
- 1431-0635
publication_status: published
publisher: EMS Press
quality_controlled: '1'
related_material:
record:
- id: '6183'
relation: earlier_version
status: public
status: public
title: 'The Dyson equation with linear self-energy: Spectral bands, edges and cusps'
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: 25
year: '2020'
...
---
_id: '9196'
abstract:
- lang: eng
text: In order to provide a local description of a regular function in a small neighbourhood
of a point x, it is sufficient by Taylor’s theorem to know the value of the function
as well as all of its derivatives up to the required order at the point x itself.
In other words, one could say that a regular function is locally modelled by the
set of polynomials. The theory of regularity structures due to Hairer generalizes
this observation and provides an abstract setup, which in the application to singular
SPDE extends the set of polynomials by functionals constructed from, e.g., white
noise. In this context, the notion of Taylor polynomials is lifted to the notion
of so-called modelled distributions. The celebrated reconstruction theorem, which
in turn was inspired by Gubinelli’s \textit {sewing lemma}, is of paramount importance
for the theory. It enables one to reconstruct a modelled distribution as a true
distribution on Rd which is locally approximated by this extended set of models
or “monomials”. In the original work of Hairer, the error is measured by means
of Hölder norms. This was then generalized to the whole scale of Besov spaces
by Hairer and Labbé. It is the aim of this work to adapt the analytic part of
the theory of regularity structures to the scale of Triebel–Lizorkin spaces.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sebastian
full_name: Hensel, Sebastian
id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
last_name: Hensel
orcid: 0000-0001-7252-8072
- first_name: Tommaso
full_name: Rosati, Tommaso
last_name: Rosati
citation:
ama: Hensel S, Rosati T. Modelled distributions of Triebel–Lizorkin type. Studia
Mathematica. 2020;252(3):251-297. doi:10.4064/sm180411-11-2
apa: Hensel, S., & Rosati, T. (2020). Modelled distributions of Triebel–Lizorkin
type. Studia Mathematica. Instytut Matematyczny. https://doi.org/10.4064/sm180411-11-2
chicago: Hensel, Sebastian, and Tommaso Rosati. “Modelled Distributions of Triebel–Lizorkin
Type.” Studia Mathematica. Instytut Matematyczny, 2020. https://doi.org/10.4064/sm180411-11-2.
ieee: S. Hensel and T. Rosati, “Modelled distributions of Triebel–Lizorkin type,”
Studia Mathematica, vol. 252, no. 3. Instytut Matematyczny, pp. 251–297,
2020.
ista: Hensel S, Rosati T. 2020. Modelled distributions of Triebel–Lizorkin type.
Studia Mathematica. 252(3), 251–297.
mla: Hensel, Sebastian, and Tommaso Rosati. “Modelled Distributions of Triebel–Lizorkin
Type.” Studia Mathematica, vol. 252, no. 3, Instytut Matematyczny, 2020,
pp. 251–97, doi:10.4064/sm180411-11-2.
short: S. Hensel, T. Rosati, Studia Mathematica 252 (2020) 251–297.
date_created: 2021-02-25T08:55:03Z
date_published: 2020-03-01T00:00:00Z
date_updated: 2023-10-17T09:15:53Z
day: '01'
department:
- _id: JuFi
- _id: GradSch
doi: 10.4064/sm180411-11-2
external_id:
arxiv:
- '1709.05202'
isi:
- '000558100500002'
intvolume: ' 252'
isi: 1
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
month: '03'
oa_version: Preprint
page: 251-297
publication: Studia Mathematica
publication_identifier:
eissn:
- 1730-6337
issn:
- 0039-3223
publication_status: published
publisher: Instytut Matematyczny
quality_controlled: '1'
scopus_import: '1'
status: public
title: Modelled distributions of Triebel–Lizorkin type
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 252
year: '2020'
...
---
_id: '8419'
abstract:
- lang: eng
text: "In this survey, we provide a concise introduction to convex billiards and
describe some recent results, obtained by the authors and collaborators, on the
classification of integrable billiards, namely the so-called Birkhoff conjecture.\r\n\r\nThis
article is part of the theme issue ‘Finite dimensional integrable systems: new
trends and methods’."
article_number: '20170419'
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
full_name: Kaloshin, Vadim
id: FE553552-CDE8-11E9-B324-C0EBE5697425
last_name: Kaloshin
orcid: 0000-0002-6051-2628
- first_name: Alfonso
full_name: Sorrentino, Alfonso
last_name: Sorrentino
citation:
ama: 'Kaloshin V, Sorrentino A. On the integrability of Birkhoff billiards. Philosophical
Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.
2018;376(2131). doi:10.1098/rsta.2017.0419'
apa: 'Kaloshin, V., & Sorrentino, A. (2018). On the integrability of Birkhoff
billiards. Philosophical Transactions of the Royal Society A: Mathematical,
Physical and Engineering Sciences. The Royal Society. https://doi.org/10.1098/rsta.2017.0419'
chicago: 'Kaloshin, Vadim, and Alfonso Sorrentino. “On the Integrability of Birkhoff
Billiards.” Philosophical Transactions of the Royal Society A: Mathematical,
Physical and Engineering Sciences. The Royal Society, 2018. https://doi.org/10.1098/rsta.2017.0419.'
ieee: 'V. Kaloshin and A. Sorrentino, “On the integrability of Birkhoff billiards,”
Philosophical Transactions of the Royal Society A: Mathematical, Physical and
Engineering Sciences, vol. 376, no. 2131. The Royal Society, 2018.'
ista: 'Kaloshin V, Sorrentino A. 2018. On the integrability of Birkhoff billiards.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and
Engineering Sciences. 376(2131), 20170419.'
mla: 'Kaloshin, Vadim, and Alfonso Sorrentino. “On the Integrability of Birkhoff
Billiards.” Philosophical Transactions of the Royal Society A: Mathematical,
Physical and Engineering Sciences, vol. 376, no. 2131, 20170419, The Royal
Society, 2018, doi:10.1098/rsta.2017.0419.'
short: 'V. Kaloshin, A. Sorrentino, Philosophical Transactions of the Royal Society
A: Mathematical, Physical and Engineering Sciences 376 (2018).'
date_created: 2020-09-17T10:42:01Z
date_published: 2018-10-28T00:00:00Z
date_updated: 2021-01-12T08:19:09Z
day: '28'
doi: 10.1098/rsta.2017.0419
extern: '1'
intvolume: ' 376'
issue: '2131'
keyword:
- General Engineering
- General Physics and Astronomy
- General Mathematics
language:
- iso: eng
month: '10'
oa_version: None
publication: 'Philosophical Transactions of the Royal Society A: Mathematical, Physical
and Engineering Sciences'
publication_identifier:
issn:
- 1364-503X
- 1471-2962
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
status: public
title: On the integrability of Birkhoff billiards
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 376
year: '2018'
...
---
_id: '8500'
abstract:
- lang: eng
text: The main model studied in this paper is a lattice of pendula with a nearest‐neighbor
coupling. If the coupling is weak, then the system is near‐integrable and KAM
tori fill most of the phase space. For all KAM trajectories the energy of each
pendulum stays within a narrow band for all time. Still, we show that for an arbitrarily
weak coupling of a certain localized type, the neighboring pendula can exchange
energy. In fact, the energy can be transferred between the pendula in any prescribed
way.
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
full_name: Kaloshin, Vadim
id: FE553552-CDE8-11E9-B324-C0EBE5697425
last_name: Kaloshin
orcid: 0000-0002-6051-2628
- first_name: Mark
full_name: Levi, Mark
last_name: Levi
- first_name: Maria
full_name: Saprykina, Maria
last_name: Saprykina
citation:
ama: Kaloshin V, Levi M, Saprykina M. Arnol′d diffusion in a pendulum lattice. Communications
on Pure and Applied Mathematics. 2014;67(5):748-775. doi:10.1002/cpa.21509
apa: Kaloshin, V., Levi, M., & Saprykina, M. (2014). Arnol′d diffusion in a
pendulum lattice. Communications on Pure and Applied Mathematics. Wiley.
https://doi.org/10.1002/cpa.21509
chicago: Kaloshin, Vadim, Mark Levi, and Maria Saprykina. “Arnol′d Diffusion in
a Pendulum Lattice.” Communications on Pure and Applied Mathematics. Wiley,
2014. https://doi.org/10.1002/cpa.21509.
ieee: V. Kaloshin, M. Levi, and M. Saprykina, “Arnol′d diffusion in a pendulum lattice,”
Communications on Pure and Applied Mathematics, vol. 67, no. 5. Wiley,
pp. 748–775, 2014.
ista: Kaloshin V, Levi M, Saprykina M. 2014. Arnol′d diffusion in a pendulum lattice.
Communications on Pure and Applied Mathematics. 67(5), 748–775.
mla: Kaloshin, Vadim, et al. “Arnol′d Diffusion in a Pendulum Lattice.” Communications
on Pure and Applied Mathematics, vol. 67, no. 5, Wiley, 2014, pp. 748–75,
doi:10.1002/cpa.21509.
short: V. Kaloshin, M. Levi, M. Saprykina, Communications on Pure and Applied Mathematics
67 (2014) 748–775.
date_created: 2020-09-18T10:47:01Z
date_published: 2014-05-01T00:00:00Z
date_updated: 2022-08-25T13:58:13Z
day: '01'
doi: 10.1002/cpa.21509
extern: '1'
intvolume: ' 67'
issue: '5'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
month: '05'
oa_version: None
page: 748-775
publication: Communications on Pure and Applied Mathematics
publication_identifier:
issn:
- 0010-3640
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Arnol′d diffusion in a pendulum lattice
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 67
year: '2014'
...