---
_id: '14499'
abstract:
- lang: eng
text: "An n-vertex graph is called C-Ramsey if it has no clique or independent set
of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper,
we study edge statistics in Ramsey graphs, in particular obtaining very precise
control of the distribution of the number of edges in a random vertex subset of
a C-Ramsey graph. This brings together two ongoing lines of research: the study
of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability
for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds
via an ‘additive structure’ dichotomy on the degree sequence and involves a wide
range of different tools from Fourier analysis, random matrix theory, the theory
of Boolean functions, probabilistic combinatorics and low-rank approximation.
In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright
theorem on small-ball probability for polynomials of Gaussians, which we believe
is of independent interest. One of the consequences of our result is the resolution
of an old conjecture of Erdős and McKay, for which Erdős reiterated in several
of his open problem collections and for which he offered one of his notorious
monetary prizes."
acknowledgement: Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’
No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship
Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was
supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research
Fellowship.
article_number: e21
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: Lisa
full_name: Sauermann, Lisa
last_name: Sauermann
- first_name: Mehtaab
full_name: Sawhney, Mehtaab
last_name: Sawhney
citation:
ama: Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs
and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 2023;11.
doi:10.1017/fmp.2023.17
apa: Kwan, M. A., Sah, A., Sauermann, L., & Sawhney, M. (2023). Anticoncentration
in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics,
Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2023.17
chicago: Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration
in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics,
Pi. Cambridge University Press, 2023. https://doi.org/10.1017/fmp.2023.17.
ieee: M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey
graphs and a proof of the Erdős–McKay conjecture,” Forum of Mathematics, Pi,
vol. 11. Cambridge University Press, 2023.
ista: Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey
graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11,
e21.
mla: Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof
of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi, vol. 11, e21,
Cambridge University Press, 2023, doi:10.1017/fmp.2023.17.
short: M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11
(2023).
date_created: 2023-11-07T09:02:48Z
date_published: 2023-08-24T00:00:00Z
date_updated: 2023-11-07T09:18:57Z
day: '24'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1017/fmp.2023.17
external_id:
arxiv:
- '2208.02874'
file:
- access_level: open_access
checksum: 54b824098d59073cc87a308d458b0a3e
content_type: application/pdf
creator: dernst
date_created: 2023-11-07T09:16:23Z
date_updated: 2023-11-07T09:16:23Z
file_id: '14500'
file_name: 2023_ForumMathematics_Kwan.pdf
file_size: 1218719
relation: main_file
success: 1
file_date_updated: 2023-11-07T09:16:23Z
has_accepted_license: '1'
intvolume: ' 11'
keyword:
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Analysis
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
grant_number: '101076777'
name: Randomness and structure in combinatorics
publication: Forum of Mathematics, Pi
publication_identifier:
issn:
- 2050-5086
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture
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: '14756'
abstract:
- lang: eng
text: "We prove the r-spin cobordism hypothesis in the setting of (weak) 2-categories
for every positive integer r: the 2-groupoid of 2-dimensional fully extended r-spin
TQFTs with given target is equivalent to the homotopy fixed points of an induced
Spin 2r -action. In particular, such TQFTs are classified by fully dualisable
objects together with a trivialisation of the rth power of their Serre automorphisms.
For r=1, we recover the oriented case (on which our proof builds), while ordinary
spin structures correspond to r=2.\r\nTo construct examples, we explicitly describe
Spin 2r-homotopy fixed points in the equivariant completion of any symmetric
monoidal 2-category. We also show that every object in a 2-category of Landau–Ginzburg
models gives rise to fully extended spin TQFTs and that half of these do not factor
through the oriented bordism 2-category."
acknowledgement: "N.C. is supported by the DFG Heisenberg Programme.\r\nWe are grateful
to Tobias Dyckerhoff, Lukas Müller, Ingo Runkel, and Christopher Schommer-Pries
for helpful discussions."
article_processing_charge: Yes
article_type: original
author:
- first_name: Nils
full_name: Carqueville, Nils
last_name: Carqueville
- first_name: Lorant
full_name: Szegedy, Lorant
id: 7943226E-220E-11EA-94C7-D59F3DDC885E
last_name: Szegedy
orcid: 0000-0003-2834-5054
citation:
ama: Carqueville N, Szegedy L. Fully extended r-spin TQFTs. Quantum Topology.
2023;14(3):467-532. doi:10.4171/qt/193
apa: Carqueville, N., & Szegedy, L. (2023). Fully extended r-spin TQFTs. Quantum
Topology. European Mathematical Society. https://doi.org/10.4171/qt/193
chicago: Carqueville, Nils, and Lorant Szegedy. “Fully Extended R-Spin TQFTs.” Quantum
Topology. European Mathematical Society, 2023. https://doi.org/10.4171/qt/193.
ieee: N. Carqueville and L. Szegedy, “Fully extended r-spin TQFTs,” Quantum Topology,
vol. 14, no. 3. European Mathematical Society, pp. 467–532, 2023.
ista: Carqueville N, Szegedy L. 2023. Fully extended r-spin TQFTs. Quantum Topology.
14(3), 467–532.
mla: Carqueville, Nils, and Lorant Szegedy. “Fully Extended R-Spin TQFTs.” Quantum
Topology, vol. 14, no. 3, European Mathematical Society, 2023, pp. 467–532,
doi:10.4171/qt/193.
short: N. Carqueville, L. Szegedy, Quantum Topology 14 (2023) 467–532.
date_created: 2024-01-08T13:14:48Z
date_published: 2023-10-16T00:00:00Z
date_updated: 2024-01-09T09:27:46Z
day: '16'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.4171/qt/193
file:
- access_level: open_access
checksum: b0590aff6e7ec89cc149ba94d459d3a3
content_type: application/pdf
creator: dernst
date_created: 2024-01-09T09:25:34Z
date_updated: 2024-01-09T09:25:34Z
file_id: '14764'
file_name: 2023_QuantumTopol_Carqueville.pdf
file_size: 707344
relation: main_file
success: 1
file_date_updated: 2024-01-09T09:25:34Z
has_accepted_license: '1'
intvolume: ' 14'
issue: '3'
keyword:
- Geometry and Topology
- Mathematical Physics
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 467-532
publication: Quantum Topology
publication_identifier:
issn:
- 1663-487X
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fully extended r-spin TQFTs
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: 14
year: '2023'
...
---
_id: '14192'
abstract:
- lang: eng
text: For the Fröhlich model of the large polaron, we prove that the ground state
energy as a function of the total momentum has a unique global minimum at momentum
zero. This implies the non-existence of a ground state of the translation invariant
Fröhlich Hamiltonian and thus excludes the possibility of a localization transition
at finite coupling.
acknowledgement: D.M. and K.M. thank Robert Seiringer for helpful discussions. Open
access funding provided by Institute of Science and Technology (IST Austria). Financial
support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016,
ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon
2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement
No. 665386 (K.M.) is gratefully acknowledged.
article_number: '17'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Jonas
full_name: Lampart, Jonas
last_name: Lampart
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Krzysztof
full_name: Mysliwy, Krzysztof
id: 316457FC-F248-11E8-B48F-1D18A9856A87
last_name: Mysliwy
citation:
ama: Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum
relation for the polaron. Mathematical Physics, Analysis and Geometry.
2023;26(3). doi:10.1007/s11040-023-09460-x
apa: Lampart, J., Mitrouskas, D. J., & Mysliwy, K. (2023). On the global minimum
of the energy–momentum relation for the polaron. Mathematical Physics, Analysis
and Geometry. Springer Nature. https://doi.org/10.1007/s11040-023-09460-x
chicago: Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the
Global Minimum of the Energy–Momentum Relation for the Polaron.” Mathematical
Physics, Analysis and Geometry. Springer Nature, 2023. https://doi.org/10.1007/s11040-023-09460-x.
ieee: J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the
energy–momentum relation for the polaron,” Mathematical Physics, Analysis and
Geometry, vol. 26, no. 3. Springer Nature, 2023.
ista: Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum
relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3),
17.
mla: Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation
for the Polaron.” Mathematical Physics, Analysis and Geometry, vol. 26,
no. 3, 17, Springer Nature, 2023, doi:10.1007/s11040-023-09460-x.
short: J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and
Geometry 26 (2023).
date_created: 2023-08-22T14:09:47Z
date_published: 2023-07-26T00:00:00Z
date_updated: 2023-12-13T12:16:19Z
day: '26'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11040-023-09460-x
external_id:
arxiv:
- '2206.14708'
isi:
- '001032992600001'
file:
- access_level: open_access
checksum: f0941cc66cb3ed06a12ca4b7e356cfd6
content_type: application/pdf
creator: dernst
date_created: 2023-08-23T10:59:15Z
date_updated: 2023-08-23T10:59:15Z
file_id: '14225'
file_name: 2023_MathPhysics_Lampart.pdf
file_size: 317026
relation: main_file
success: 1
file_date_updated: 2023-08-23T10:59:15Z
has_accepted_license: '1'
intvolume: ' 26'
isi: 1
issue: '3'
keyword:
- Geometry and Topology
- Mathematical Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: Mathematical Physics, Analysis and Geometry
publication_identifier:
eissn:
- 1572-9656
issn:
- 1385-0172
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the global minimum of the energy–momentum relation for the polaron
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: 26
year: '2023'
...
---
_id: '11732'
abstract:
- lang: eng
text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic
formula, which strongly depends on the strength of the interaction potential V
on the Fermi surface. In combination with the recent result by one of us (Math.
Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities,
we prove the universality of the ratio of the energy gap and the critical temperature.
acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and
many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges
partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open
access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '5'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of
Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9
apa: Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density.
Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9
chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap
at High Density.” Journal of Statistical Physics. Springer Nature, 2022.
https://doi.org/10.1007/s10955-022-02965-9.
ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal
of Statistical Physics, vol. 189. Springer Nature, 2022.
ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal
of Statistical Physics. 189, 5.
mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at
High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature,
2022, doi:10.1007/s10955-022-02965-9.
short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
date_created: 2022-08-05T11:36:56Z
date_published: 2022-07-29T00:00:00Z
date_updated: 2023-09-05T14:57:49Z
day: '29'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
- _id: RoSe
doi: 10.1007/s10955-022-02965-9
ec_funded: 1
external_id:
isi:
- '000833007200002'
file:
- access_level: open_access
checksum: b398c4dbf65f71d417981d6e366427e9
content_type: application/pdf
creator: dernst
date_created: 2022-08-08T07:36:34Z
date_updated: 2022-08-08T07:36:34Z
file_id: '11746'
file_name: 2022_JourStatisticalPhysics_Henheik.pdf
file_size: 419563
relation: main_file
success: 1
file_date_updated: 2022-08-08T07:36:34Z
has_accepted_license: '1'
intvolume: ' 189'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The BCS energy gap at high density
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 189
year: '2022'
...
---
_id: '11783'
abstract:
- lang: eng
text: We consider a gas of N bosons with interactions in the mean-field scaling
regime. We review the proof of an asymptotic expansion of its low-energy spectrum,
eigenstates, and dynamics, which provides corrections to Bogoliubov theory to
all orders in 1/ N. This is based on joint works with Petrat, Pickl, Seiringer,
and Soffer. In addition, we derive a full asymptotic expansion of the ground state
one-body reduced density matrix.
acknowledgement: "The author thanks Nataˇsa Pavlovic, Sören Petrat, Peter Pickl, Robert
Seiringer, and Avy Soffer for the collaboration on Refs. 1, 2 and 21. Funding from
the European Union’s Horizon 2020 Research and Innovation Programme under Marie
Skℓodowska-Curie Grant Agreement\r\nNo. 754411 is gratefully acknowledged."
article_number: '061102'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
citation:
ama: Bossmann L. Low-energy spectrum and dynamics of the weakly interacting Bose
gas. Journal of Mathematical Physics. 2022;63(6). doi:10.1063/5.0089983
apa: Bossmann, L. (2022). Low-energy spectrum and dynamics of the weakly interacting
Bose gas. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0089983
chicago: Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting
Bose Gas.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0089983.
ieee: L. Bossmann, “Low-energy spectrum and dynamics of the weakly interacting Bose
gas,” Journal of Mathematical Physics, vol. 63, no. 6. AIP Publishing,
2022.
ista: Bossmann L. 2022. Low-energy spectrum and dynamics of the weakly interacting
Bose gas. Journal of Mathematical Physics. 63(6), 061102.
mla: Bossmann, Lea. “Low-Energy Spectrum and Dynamics of the Weakly Interacting
Bose Gas.” Journal of Mathematical Physics, vol. 63, no. 6, 061102, AIP
Publishing, 2022, doi:10.1063/5.0089983.
short: L. Bossmann, Journal of Mathematical Physics 63 (2022).
date_created: 2022-08-11T06:37:52Z
date_published: 2022-06-10T00:00:00Z
date_updated: 2023-08-03T12:46:28Z
day: '10'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1063/5.0089983
ec_funded: 1
external_id:
arxiv:
- '2203.00730'
isi:
- '000809648100002'
file:
- access_level: open_access
checksum: d0d32c338c1896680174be88c70968fa
content_type: application/pdf
creator: dernst
date_created: 2022-08-11T07:03:02Z
date_updated: 2022-08-11T07:03:02Z
file_id: '11784'
file_name: 2022_JourMathPhysics_Bossmann.pdf
file_size: 5957888
relation: main_file
success: 1
file_date_updated: 2022-08-11T07:03:02Z
has_accepted_license: '1'
intvolume: ' 63'
isi: 1
issue: '6'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
issn:
- 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Low-energy spectrum and dynamics of the weakly interacting Bose gas
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '10600'
abstract:
- lang: eng
text: We show that recent results on adiabatic theory for interacting gapped many-body
systems on finite lattices remain valid in the thermodynamic limit. More precisely,
we prove a generalized super-adiabatic theorem for the automorphism group describing
the infinite volume dynamics on the quasi-local algebra of observables. The key
assumption is the existence of a sequence of gapped finite volume Hamiltonians,
which generates the same infinite volume dynamics in the thermodynamic limit.
Our adiabatic theorem also holds for certain perturbations of gapped ground states
that close the spectral gap (so it is also an adiabatic theorem for resonances
and, in this sense, “generalized”), and it provides an adiabatic approximation
to all orders in the adiabatic parameter (a property often called “super-adiabatic”).
In addition to the existing results for finite lattices, we also perform a resummation
of the adiabatic expansion and allow for observables that are not strictly local.
Finally, as an application, we prove the validity of linear and higher order response
theory for our class of perturbations for infinite systems. While we consider
the result and its proof as new and interesting in itself, we also lay the foundation
for the proof of an adiabatic theorem for systems with a gap only in the bulk,
which will be presented in a follow-up article.
acknowledgement: J.H. acknowledges partial financial support from ERC Advanced Grant
“RMTBeyond” No. 101020331.
article_number: '011901'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Stefan
full_name: Teufel, Stefan
last_name: Teufel
citation:
ama: 'Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems
with a uniform gap. Journal of Mathematical Physics. 2022;63(1). doi:10.1063/5.0051632'
apa: 'Henheik, S. J., & Teufel, S. (2022). Adiabatic theorem in the thermodynamic
limit: Systems with a uniform gap. Journal of Mathematical Physics. AIP
Publishing. https://doi.org/10.1063/5.0051632'
chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Uniform Gap.” Journal of Mathematical Physics. AIP
Publishing, 2022. https://doi.org/10.1063/5.0051632.'
ieee: 'S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit:
Systems with a uniform gap,” Journal of Mathematical Physics, vol. 63,
no. 1. AIP Publishing, 2022.'
ista: 'Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit:
Systems with a uniform gap. Journal of Mathematical Physics. 63(1), 011901.'
mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Uniform Gap.” Journal of Mathematical Physics, vol.
63, no. 1, 011901, AIP Publishing, 2022, doi:10.1063/5.0051632.'
short: S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
date_created: 2022-01-03T12:19:48Z
date_published: 2022-01-03T00:00:00Z
date_updated: 2023-08-02T13:44:32Z
day: '03'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1063/5.0051632
ec_funded: 1
external_id:
arxiv:
- '2012.15238'
isi:
- '000739446000009'
intvolume: ' 63'
isi: 1
issue: '1'
keyword:
- mathematical physics
- statistical and nonlinear physics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2012.15238
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
issn:
- 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
status: public
title: 'Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 63
year: '2022'
...
---
_id: '10623'
abstract:
- lang: eng
text: We investigate the BCS critical temperature Tc in the high-density limit and
derive an asymptotic formula, which strongly depends on the behavior of the interaction
potential V on the Fermi-surface. Our results include a rigorous confirmation
for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev
Lett 122:157001, 2019) and identify precise conditions under which superconducting
domes arise in BCS theory.
acknowledgement: I am very grateful to Robert Seiringer for his guidance during this
project and for many valuable comments on an earlier version of the manuscript.
Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions
and comments, pointing out the reference [22] and for his involvement in a closely
related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable
comments on an earlier version of the manuscript and Andreas Deuchert for interesting
discussions.
article_number: '3'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
citation:
ama: Henheik SJ. The BCS critical temperature at high density. Mathematical Physics,
Analysis and Geometry. 2022;25(1). doi:10.1007/s11040-021-09415-0
apa: Henheik, S. J. (2022). The BCS critical temperature at high density. Mathematical
Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-021-09415-0
chicago: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical
Physics, Analysis and Geometry. Springer Nature, 2022. https://doi.org/10.1007/s11040-021-09415-0.
ieee: S. J. Henheik, “The BCS critical temperature at high density,” Mathematical
Physics, Analysis and Geometry, vol. 25, no. 1. Springer Nature, 2022.
ista: Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical
Physics, Analysis and Geometry. 25(1), 3.
mla: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical
Physics, Analysis and Geometry, vol. 25, no. 1, 3, Springer Nature, 2022,
doi:10.1007/s11040-021-09415-0.
short: S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
date_created: 2022-01-13T15:40:53Z
date_published: 2022-01-11T00:00:00Z
date_updated: 2023-08-02T13:51:52Z
day: '11'
ddc:
- '514'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1007/s11040-021-09415-0
ec_funded: 1
external_id:
arxiv:
- '2106.02015'
isi:
- '000741387600001'
file:
- access_level: open_access
checksum: d44f8123a52592a75b2c3b8ee2cd2435
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-14T07:27:45Z
date_updated: 2022-01-14T07:27:45Z
file_id: '10624'
file_name: 2022_MathPhyAnalGeo_Henheik.pdf
file_size: 505804
relation: main_file
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file_date_updated: 2022-01-14T07:27:45Z
has_accepted_license: '1'
intvolume: ' 25'
isi: 1
issue: '1'
keyword:
- geometry and topology
- mathematical physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Mathematical Physics, Analysis and Geometry
publication_identifier:
eissn:
- 1572-9656
issn:
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publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The BCS critical temperature at high density
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: 25
year: '2022'
...
---
_id: '10642'
abstract:
- lang: eng
text: Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized
but otherwise arbitrary perturbations of weakly interacting quantum spin systems
with uniformly gapped on-site terms change the ground state of such a system only
locally, even if they close the spectral gap. We call this a strong version of
the local perturbations perturb locally (LPPL) principle which is known to hold
for much more general gapped systems, but only for perturbations that do not close
the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle
to Hamiltonians that have the appropriate structure of gapped on-site terms and
weak interactions only locally in some region of space. While our results are
technically corollaries to a theorem of Yarotsky, we expect that the paradigm
of systems with a locally gapped ground state that is completely insensitive to
the form of the Hamiltonian elsewhere extends to other situations and has important
physical consequences.
acknowledgement: J. H. acknowledges partial financial support by the ERC Advanced
Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for
very helpful comments and discussions and Jürg Fröhlich for references to the literature.
Open Access funding enabled and organized by Projekt DEAL.
article_number: '9'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Stefan
full_name: Teufel, Stefan
last_name: Teufel
- first_name: Tom
full_name: Wessel, Tom
last_name: Wessel
citation:
ama: Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally
gapped and weakly interacting quantum spin systems. Letters in Mathematical
Physics. 2022;112(1). doi:10.1007/s11005-021-01494-y
apa: Henheik, S. J., Teufel, S., & Wessel, T. (2022). Local stability of ground
states in locally gapped and weakly interacting quantum spin systems. Letters
in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01494-y
chicago: Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of
Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.”
Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-021-01494-y.
ieee: S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states
in locally gapped and weakly interacting quantum spin systems,” Letters in
Mathematical Physics, vol. 112, no. 1. Springer Nature, 2022.
ista: Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in
locally gapped and weakly interacting quantum spin systems. Letters in Mathematical
Physics. 112(1), 9.
mla: Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped
and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics,
vol. 112, no. 1, 9, Springer Nature, 2022, doi:10.1007/s11005-021-01494-y.
short: S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
date_created: 2022-01-18T16:18:25Z
date_published: 2022-01-18T00:00:00Z
date_updated: 2023-08-02T13:57:02Z
day: '18'
ddc:
- '530'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1007/s11005-021-01494-y
ec_funded: 1
external_id:
arxiv:
- '2106.13780'
isi:
- '000744930400001'
file:
- access_level: open_access
checksum: 7e8e69b76e892c305071a4736131fe18
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-19T09:41:14Z
date_updated: 2022-01-19T09:41:14Z
file_id: '10647'
file_name: 2022_LettersMathPhys_Henheik.pdf
file_size: 357547
relation: main_file
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file_date_updated: 2022-01-19T09:41:14Z
has_accepted_license: '1'
intvolume: ' 112'
isi: 1
issue: '1'
keyword:
- mathematical physics
- statistical and nonlinear physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Local stability of ground states in locally gapped and weakly interacting quantum
spin systems
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: 112
year: '2022'
...
---
_id: '10643'
abstract:
- lang: eng
text: "We prove a generalised super-adiabatic theorem for extended fermionic systems
assuming a spectral gap only in the bulk. More precisely, we assume that the infinite
system has a unique ground state and that the corresponding Gelfand–Naimark–Segal
Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that
a similar adiabatic theorem also holds in the bulk of finite systems up to errors
that vanish faster than any inverse power of the system size, although the corresponding
finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n"
acknowledgement: J.H. acknowledges partial financial support by the ERC Advanced Grant
‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft
and the Open Access Publishing Fund of the University of Tübingen is gratefully
acknowledged.
article_number: e4
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Stefan
full_name: Teufel, Stefan
last_name: Teufel
citation:
ama: 'Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems
with a gap in the bulk. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2021.80'
apa: 'Henheik, S. J., & Teufel, S. (2022). Adiabatic theorem in the thermodynamic
limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. Cambridge
University Press. https://doi.org/10.1017/fms.2021.80'
chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2021.80.'
ieee: 'S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit:
Systems with a gap in the bulk,” Forum of Mathematics, Sigma, vol. 10.
Cambridge University Press, 2022.'
ista: 'Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit:
Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.'
mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma, vol.
10, e4, Cambridge University Press, 2022, doi:10.1017/fms.2021.80.'
short: S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
date_created: 2022-01-18T16:18:51Z
date_published: 2022-01-18T00:00:00Z
date_updated: 2023-08-02T13:53:11Z
day: '18'
ddc:
- '510'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1017/fms.2021.80
ec_funded: 1
external_id:
arxiv:
- '2012.15239'
isi:
- '000743615000001'
file:
- access_level: open_access
checksum: 87592a755adcef22ea590a99dc728dd3
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-19T09:27:43Z
date_updated: 2022-01-19T09:27:43Z
file_id: '10646'
file_name: 2022_ForumMathSigma_Henheik.pdf
file_size: 705323
relation: main_file
success: 1
file_date_updated: 2022-01-19T09:27:43Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- computational mathematics
- discrete mathematics and combinatorics
- geometry and topology
- mathematical physics
- statistics and probability
- algebra and number theory
- theoretical computer science
- analysis
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
status: public
title: 'Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk'
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: 10
year: '2022'
...
---
_id: '11917'
abstract:
- lang: eng
text: We study the many-body dynamics of an initially factorized bosonic wave function
in the mean-field regime. We prove large deviation estimates for the fluctuations
around the condensate. We derive an upper bound extending a recent result to more
general interactions. Furthermore, we derive a new lower bound which agrees with
the upper bound in leading order.
acknowledgement: "The authors thank Gérard Ben Arous for pointing out the question
of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation
programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie
Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding
provided by IST Austria."
article_number: '9'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Simone Anna Elvira
full_name: Rademacher, Simone Anna Elvira
id: 856966FE-A408-11E9-977E-802DE6697425
last_name: Rademacher
orcid: 0000-0001-5059-4466
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting
bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4
apa: Rademacher, S. A. E., & Seiringer, R. (2022). Large deviation estimates
for weakly interacting bosons. Journal of Statistical Physics. Springer
Nature. https://doi.org/10.1007/s10955-022-02940-4
chicago: Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation
Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics.
Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02940-4.
ieee: S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly
interacting bosons,” Journal of Statistical Physics, vol. 188. Springer
Nature, 2022.
ista: Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting
bosons. Journal of Statistical Physics. 188, 9.
mla: Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates
for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188,
9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.
short: S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
date_created: 2022-08-18T07:23:26Z
date_published: 2022-07-01T00:00:00Z
date_updated: 2023-08-03T12:55:58Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10955-022-02940-4
ec_funded: 1
external_id:
isi:
- '000805175000001'
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file_id: '11922'
file_name: 2022_JournalStatisticalPhysics_Rademacher.pdf
file_size: 483481
relation: main_file
success: 1
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has_accepted_license: '1'
intvolume: ' 188'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
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call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Journal of Statistical Physics
publication_identifier:
eissn:
- 1572-9613
issn:
- 0022-4715
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Large deviation estimates for weakly interacting bosons
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: 188
year: '2022'
...
---
_id: '12145'
abstract:
- lang: eng
text: In the class of strictly convex smooth boundaries each of which has no strip
around its boundary foliated by invariant curves, we prove that the Taylor coefficients
of the “normalized” Mather’s β-function are invariant under C∞-conjugacies. In
contrast, we prove that any two elliptic billiard maps are C0-conjugate near their
respective boundaries, and C∞-conjugate, near the boundary and away from a line
passing through the center of the underlying ellipse. We also prove that, if the
billiard maps corresponding to two ellipses are topologically conjugate, then
the two ellipses are similar.
acknowledgement: "We are grateful to the anonymous referees for their careful reading
and valuable remarks and\r\ncomments which helped to improve the paper significantly.
We gratefully acknowledge support from the European Research Council (ERC) through
the Advanced Grant “SPERIG” (#885707)."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Edmond
full_name: Koudjinan, Edmond
id: 52DF3E68-AEFA-11EA-95A4-124A3DDC885E
last_name: Koudjinan
orcid: 0000-0003-2640-4049
- first_name: Vadim
full_name: Kaloshin, Vadim
id: FE553552-CDE8-11E9-B324-C0EBE5697425
last_name: Kaloshin
orcid: 0000-0002-6051-2628
citation:
ama: Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy.
Regular and Chaotic Dynamics. 2022;27(6):525-537. doi:10.1134/S1560354722050021
apa: Koudjinan, E., & Kaloshin, V. (2022). On some invariants of Birkhoff billiards
under conjugacy. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/10.1134/S1560354722050021
chicago: Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff
Billiards under Conjugacy.” Regular and Chaotic Dynamics. Springer Nature,
2022. https://doi.org/10.1134/S1560354722050021.
ieee: E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under
conjugacy,” Regular and Chaotic Dynamics, vol. 27, no. 6. Springer Nature,
pp. 525–537, 2022.
ista: Koudjinan E, Kaloshin V. 2022. On some invariants of Birkhoff billiards under
conjugacy. Regular and Chaotic Dynamics. 27(6), 525–537.
mla: Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards
under Conjugacy.” Regular and Chaotic Dynamics, vol. 27, no. 6, Springer
Nature, 2022, pp. 525–37, doi:10.1134/S1560354722050021.
short: E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
date_created: 2023-01-12T12:06:49Z
date_published: 2022-10-03T00:00:00Z
date_updated: 2023-08-04T08:59:14Z
day: '03'
department:
- _id: VaKa
doi: 10.1134/S1560354722050021
ec_funded: 1
external_id:
arxiv:
- '2105.14640'
isi:
- '000865267300002'
intvolume: ' 27'
isi: 1
issue: '6'
keyword:
- Mechanical Engineering
- Applied Mathematics
- Mathematical Physics
- Modeling and Simulation
- Statistical and Nonlinear Physics
- Mathematics (miscellaneous)
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2105.14640
month: '10'
oa: 1
oa_version: Preprint
page: 525-537
project:
- _id: 9B8B92DE-BA93-11EA-9121-9846C619BF3A
call_identifier: H2020
grant_number: '885707'
name: Spectral rigidity and integrability for billiards and geodesic flows
publication: Regular and Chaotic Dynamics
publication_identifier:
eissn:
- 1468-4845
issn:
- 1560-3547
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1134/s1560354722060107
scopus_import: '1'
status: public
title: On some invariants of Birkhoff billiards under conjugacy
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 27
year: '2022'
...
---
_id: '12148'
abstract:
- lang: eng
text: 'We prove a general local law for Wigner matrices that optimally handles observables
of arbitrary rank and thus unifies the well-known averaged and isotropic local
laws. As an application, we prove a central limit theorem in quantum unique ergodicity
(QUE): that is, we show that the quadratic forms of a general deterministic matrix
A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation.
For the bulk spectrum, we thus generalise our previous result [17] as valid for
test matrices A of large rank as well as the result of Benigni and Lopatto [7]
as valid for specific small-rank observables.'
acknowledgement: L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331.
D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation
and the ETH Zürich Foundation.
article_number: e96
article_processing_charge: No
article_type: original
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. Rank-uniform local law for Wigner matrices.
Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Rank-uniform local
law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2022.86
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform
Local Law for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2022.86.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner
matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press,
2022.
ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner
matrices. Forum of Mathematics, Sigma. 10, e96.
mla: Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” Forum
of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
date_created: 2023-01-12T12:07:30Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2023-08-04T09:00:35Z
day: '27'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1017/fms.2022.86
ec_funded: 1
external_id:
isi:
- '000873719200001'
file:
- access_level: open_access
checksum: 94a049aeb1eea5497aa097712a73c400
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T10:02:40Z
date_updated: 2023-01-24T10:02:40Z
file_id: '12356'
file_name: 2022_ForumMath_Cipolloni.pdf
file_size: 817089
relation: main_file
success: 1
file_date_updated: 2023-01-24T10:02:40Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Theoretical Computer Science
- Analysis
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Rank-uniform local law for Wigner matrices
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: 10
year: '2022'
...
---
_id: '12232'
abstract:
- lang: eng
text: We derive a precise asymptotic formula for the density of the small singular
values of the real Ginibre matrix ensemble shifted by a complex parameter z as
the dimension tends to infinity. For z away from the real axis the formula coincides
with that for the complex Ginibre ensemble we derived earlier in Cipolloni et
al. (Prob Math Phys 1:101–146, 2020). On the level of the one-point function of
the low lying singular values we thus confirm the transition from real to complex
Ginibre ensembles as the shift parameter z becomes genuinely complex; the analogous
phenomenon has been well known for eigenvalues. We use the superbosonization formula
(Littelmann et al. in Comm Math Phys 283:343–395, 2008) in a regime where the
main contribution comes from a three dimensional saddle manifold.
acknowledgement: Open access funding provided by Swiss Federal Institute of Technology
Zurich. Supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH
Zürich Foundation.
article_processing_charge: No
article_type: original
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. Density of small singular values of the
shifted real Ginibre ensemble. Annales Henri Poincaré. 2022;23(11):3981-4002.
doi:10.1007/s00023-022-01188-8
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Density of small singular
values of the shifted real Ginibre ensemble. Annales Henri Poincaré. Springer
Nature. https://doi.org/10.1007/s00023-022-01188-8
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Density of Small
Singular Values of the Shifted Real Ginibre Ensemble.” Annales Henri Poincaré.
Springer Nature, 2022. https://doi.org/10.1007/s00023-022-01188-8.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Density of small singular values
of the shifted real Ginibre ensemble,” Annales Henri Poincaré, vol. 23,
no. 11. Springer Nature, pp. 3981–4002, 2022.
ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Density of small singular values
of the shifted real Ginibre ensemble. Annales Henri Poincaré. 23(11), 3981–4002.
mla: Cipolloni, Giorgio, et al. “Density of Small Singular Values of the Shifted
Real Ginibre Ensemble.” Annales Henri Poincaré, vol. 23, no. 11, Springer
Nature, 2022, pp. 3981–4002, doi:10.1007/s00023-022-01188-8.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
date_created: 2023-01-16T09:50:26Z
date_published: 2022-11-01T00:00:00Z
date_updated: 2023-08-04T09:33:52Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1007/s00023-022-01188-8
external_id:
isi:
- '000796323500001'
file:
- access_level: open_access
checksum: 5582f059feeb2f63e2eb68197a34d7dc
content_type: application/pdf
creator: dernst
date_created: 2023-01-27T11:06:47Z
date_updated: 2023-01-27T11:06:47Z
file_id: '12424'
file_name: 2022_AnnalesHenriP_Cipolloni.pdf
file_size: 1333638
relation: main_file
success: 1
file_date_updated: 2023-01-27T11:06:47Z
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intvolume: ' 23'
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issue: '11'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 3981-4002
publication: Annales Henri Poincaré
publication_identifier:
eissn:
- 1424-0661
issn:
- 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Density of small singular values of the shifted real Ginibre ensemble
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: 23
year: '2022'
...
---
_id: '12243'
abstract:
- lang: eng
text: 'We consider the eigenvalues of a large dimensional real or complex Ginibre
matrix in the region of the complex plane where their real parts reach their maximum
value. This maximum follows the Gumbel distribution and that these extreme eigenvalues
form a Poisson point process as the dimension asymptotically tends to infinity.
In the complex case, these facts have already been established by Bender [Probab.
Theory Relat. Fields 147, 241 (2010)] and in the real case by Akemann and Phillips
[J. Stat. Phys. 155, 421 (2014)] even for the more general elliptic ensemble with
a sophisticated saddle point analysis. The purpose of this article is to give
a very short direct proof in the Ginibre case with an effective error term. Moreover,
our estimates on the correlation kernel in this regime serve as a key input for
accurately locating [Formula: see text] for any large matrix X with i.i.d. entries
in the companion paper [G. Cipolloni et al., arXiv:2206.04448 (2022)]. '
acknowledgement: "The authors are grateful to G. Akemann for bringing Refs. 19 and
24–26 to their attention. Discussions with Guillaume Dubach on a preliminary version
of this project are acknowledged.\r\nL.E. and Y.X. were supported by the ERC Advanced
Grant “RMTBeyond” under Grant No. 101020331. D.S. was supported by Dr. Max Rössler,
the Walter Haefner Foundation, and the ETH Zürich Foundation."
article_number: '103303'
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
- first_name: Yuanyuan
full_name: Xu, Yuanyuan
id: 7902bdb1-a2a4-11eb-a164-c9216f71aea3
last_name: Xu
citation:
ama: Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for
Ginibre eigenvalues. Journal of Mathematical Physics. 2022;63(10). doi:10.1063/5.0104290
apa: Cipolloni, G., Erdös, L., Schröder, D. J., & Xu, Y. (2022). Directional
extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics.
AIP Publishing. https://doi.org/10.1063/5.0104290
chicago: Cipolloni, Giorgio, László Erdös, Dominik J Schröder, and Yuanyuan Xu.
“Directional Extremal Statistics for Ginibre Eigenvalues.” Journal of Mathematical
Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0104290.
ieee: G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “Directional extremal statistics
for Ginibre eigenvalues,” Journal of Mathematical Physics, vol. 63, no.
10. AIP Publishing, 2022.
ista: Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2022. Directional extremal statistics
for Ginibre eigenvalues. Journal of Mathematical Physics. 63(10), 103303.
mla: Cipolloni, Giorgio, et al. “Directional Extremal Statistics for Ginibre Eigenvalues.”
Journal of Mathematical Physics, vol. 63, no. 10, 103303, AIP Publishing,
2022, doi:10.1063/5.0104290.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics
63 (2022).
date_created: 2023-01-16T09:52:58Z
date_published: 2022-10-14T00:00:00Z
date_updated: 2023-08-04T09:40:02Z
day: '14'
ddc:
- '510'
- '530'
department:
- _id: LaEr
doi: 10.1063/5.0104290
ec_funded: 1
external_id:
arxiv:
- '2206.04443'
isi:
- '000869715800001'
file:
- access_level: open_access
checksum: 2db278ae5b07f345a7e3fec1f92b5c33
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T08:01:10Z
date_updated: 2023-01-30T08:01:10Z
file_id: '12436'
file_name: 2022_JourMathPhysics_Cipolloni2.pdf
file_size: 7356807
relation: main_file
success: 1
file_date_updated: 2023-01-30T08:01:10Z
has_accepted_license: '1'
intvolume: ' 63'
isi: 1
issue: '10'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
issn:
- 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Directional extremal statistics for Ginibre eigenvalues
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: 63
year: '2022'
...
---
_id: '12246'
abstract:
- lang: eng
text: The Lieb–Oxford inequality provides a lower bound on the Coulomb energy of
a classical system of N identical charges only in terms of their one-particle
density. We prove here a new estimate on the best constant in this inequality.
Numerical evaluation provides the value 1.58, which is a significant improvement
to the previously known value 1.64. The best constant has recently been shown
to be larger than 1.44. In a second part, we prove that the constant can be reduced
to 1.25 when the inequality is restricted to Hartree–Fock states. This is the
first proof that the exchange term is always much lower than the full indirect
Coulomb energy.
acknowledgement: We would like to thank David Gontier for useful advice on the numerical
simulations. This project has received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research and innovation program (Grant
Agreements MDFT No. 725528 of M.L. and AQUAMS No. 694227 of R.S.). We are thankful
for the hospitality of the Institut Henri Poincaré in Paris, where part of this
work was done.
article_number: '92'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Elliott H.
full_name: Lieb, Elliott H.
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and
exchange energies. Letters in Mathematical Physics. 2022;112(5). doi:10.1007/s11005-022-01584-5
apa: Lewin, M., Lieb, E. H., & Seiringer, R. (2022). Improved Lieb–Oxford bound
on the indirect and exchange energies. Letters in Mathematical Physics.
Springer Nature. https://doi.org/10.1007/s11005-022-01584-5
chicago: Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Improved Lieb–Oxford
Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics.
Springer Nature, 2022. https://doi.org/10.1007/s11005-022-01584-5.
ieee: M. Lewin, E. H. Lieb, and R. Seiringer, “Improved Lieb–Oxford bound on the
indirect and exchange energies,” Letters in Mathematical Physics, vol.
112, no. 5. Springer Nature, 2022.
ista: Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect
and exchange energies. Letters in Mathematical Physics. 112(5), 92.
mla: Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange
Energies.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer
Nature, 2022, doi:10.1007/s11005-022-01584-5.
short: M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
date_created: 2023-01-16T09:53:54Z
date_published: 2022-09-15T00:00:00Z
date_updated: 2023-09-05T15:17:34Z
day: '15'
department:
- _id: RoSe
doi: 10.1007/s11005-022-01584-5
ec_funded: 1
external_id:
arxiv:
- '2203.12473'
isi:
- '000854762600001'
intvolume: ' 112'
isi: 1
issue: '5'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2203.12473
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Improved Lieb–Oxford bound on the indirect and exchange energies
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 112
year: '2022'
...
---
_id: '12259'
abstract:
- lang: eng
text: 'Theoretical foundations of chaos have been predominantly laid out for finite-dimensional
dynamical systems, such as the three-body problem in classical mechanics and the
Lorenz model in dissipative systems. In contrast, many real-world chaotic phenomena,
e.g., weather, arise in systems with many (formally infinite) degrees of freedom,
which limits direct quantitative analysis of such systems using chaos theory.
In the present work, we demonstrate that the hydrodynamic pilot-wave systems offer
a bridge between low- and high-dimensional chaotic phenomena by allowing for a
systematic study of how the former connects to the latter. Specifically, we present
experimental results, which show the formation of low-dimensional chaotic attractors
upon destabilization of regular dynamics and a final transition to high-dimensional
chaos via the merging of distinct chaotic regions through a crisis bifurcation.
Moreover, we show that the post-crisis dynamics of the system can be rationalized
as consecutive scatterings from the nonattracting chaotic sets with lifetimes
following exponential distributions. '
acknowledgement: 'This work was partially funded by the Institute of Science and Technology
Austria Interdisciplinary Project Committee Grant “Pilot-Wave Hydrodynamics: Chaos
and Quantum Analogies.”'
article_number: '093138'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: George H
full_name: Choueiri, George H
id: 448BD5BC-F248-11E8-B48F-1D18A9856A87
last_name: Choueiri
- first_name: Balachandra
full_name: Suri, Balachandra
id: 47A5E706-F248-11E8-B48F-1D18A9856A87
last_name: Suri
- first_name: Jack
full_name: Merrin, Jack
id: 4515C308-F248-11E8-B48F-1D18A9856A87
last_name: Merrin
orcid: 0000-0001-5145-4609
- first_name: Maksym
full_name: Serbyn, Maksym
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
citation:
ama: 'Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. Crises and chaotic
scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary
Journal of Nonlinear Science. 2022;32(9). doi:10.1063/5.0102904'
apa: 'Choueiri, G. H., Suri, B., Merrin, J., Serbyn, M., Hof, B., & Budanur,
N. B. (2022). Crises and chaotic scattering in hydrodynamic pilot-wave experiments.
Chaos: An Interdisciplinary Journal of Nonlinear Science. AIP Publishing.
https://doi.org/10.1063/5.0102904'
chicago: 'Choueiri, George H, Balachandra Suri, Jack Merrin, Maksym Serbyn, Björn
Hof, and Nazmi B Budanur. “Crises and Chaotic Scattering in Hydrodynamic Pilot-Wave
Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science.
AIP Publishing, 2022. https://doi.org/10.1063/5.0102904.'
ieee: 'G. H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, and N. B. Budanur,
“Crises and chaotic scattering in hydrodynamic pilot-wave experiments,” Chaos:
An Interdisciplinary Journal of Nonlinear Science, vol. 32, no. 9. AIP Publishing,
2022.'
ista: 'Choueiri GH, Suri B, Merrin J, Serbyn M, Hof B, Budanur NB. 2022. Crises
and chaotic scattering in hydrodynamic pilot-wave experiments. Chaos: An Interdisciplinary
Journal of Nonlinear Science. 32(9), 093138.'
mla: 'Choueiri, George H., et al. “Crises and Chaotic Scattering in Hydrodynamic
Pilot-Wave Experiments.” Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 32, no. 9, 093138, AIP Publishing, 2022, doi:10.1063/5.0102904.'
short: 'G.H. Choueiri, B. Suri, J. Merrin, M. Serbyn, B. Hof, N.B. Budanur, Chaos:
An Interdisciplinary Journal of Nonlinear Science 32 (2022).'
date_created: 2023-01-16T09:58:16Z
date_published: 2022-09-26T00:00:00Z
date_updated: 2023-08-04T09:51:17Z
day: '26'
ddc:
- '530'
department:
- _id: MaSe
- _id: BjHo
- _id: NanoFab
doi: 10.1063/5.0102904
external_id:
arxiv:
- '2206.01531'
isi:
- '000861009600005'
file:
- access_level: open_access
checksum: 17881eff8b21969359a2dd64620120ba
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T09:41:12Z
date_updated: 2023-01-30T09:41:12Z
file_id: '12445'
file_name: 2022_Chaos_Choueiri.pdf
file_size: 3209644
relation: main_file
success: 1
file_date_updated: 2023-01-30T09:41:12Z
has_accepted_license: '1'
intvolume: ' 32'
isi: 1
issue: '9'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_identifier:
eissn:
- 1089-7682
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Crises and chaotic scattering in hydrodynamic pilot-wave experiments
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: 32
year: '2022'
...
---
_id: '10852'
abstract:
- lang: eng
text: ' We review old and new results on the Fröhlich polaron model. The discussion
includes the validity of the (classical) Pekar approximation in the strong coupling
limit, quantum corrections to this limit, as well as the divergence of the effective
polaron mass.'
acknowledgement: This work was supported by the European Research Council (ERC) under
the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo.
694227).
article_number: '2060012'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics.
2021;33(01). doi:10.1142/s0129055x20600120
apa: Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120
chicago: Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical
Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.
ieee: R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical
Physics, vol. 33, no. 01. World Scientific Publishing, 2021.
ista: Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical
Physics. 33(01), 2060012.
mla: Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical
Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.
short: R. Seiringer, Reviews in Mathematical Physics 33 (2021).
date_created: 2022-03-18T08:11:34Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-09-05T16:08:02Z
day: '01'
department:
- _id: RoSe
doi: 10.1142/s0129055x20600120
ec_funded: 1
external_id:
arxiv:
- '1912.12509'
isi:
- '000613313200013'
intvolume: ' 33'
isi: 1
issue: '01'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1912.12509
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Reviews in Mathematical Physics
publication_identifier:
eissn:
- 1793-6659
issn:
- 0129-055X
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The polaron at strong coupling
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 33
year: '2021'
...
---
_id: '9121'
abstract:
- lang: eng
text: "We show that the energy gap for the BCS gap equation is\r\nΞ=μ(8e−2+o(1))exp(π2μ−−√a)\r\nin
the low density limit μ→0. Together with the similar result for the critical temperature
by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in
the low density limit, the ratio of the energy gap and critical temperature is
a universal constant independent of the interaction potential V. The results hold
for a class of potentials with negative scattering length a and no bound states."
acknowledgement: "Most of this work was done as part of the author’s master’s thesis.
The author would like to thank Jan Philip Solovej for his supervision of this process.\r\nOpen
Access funding provided by Institute of Science and Technology (IST Austria)"
article_number: '20'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. The BCS energy gap at low density. Letters in Mathematical
Physics. 2021;111. doi:10.1007/s11005-021-01358-5
apa: Lauritsen, A. B. (2021). The BCS energy gap at low density. Letters in Mathematical
Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01358-5
chicago: Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” Letters
in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-021-01358-5.
ieee: A. B. Lauritsen, “The BCS energy gap at low density,” Letters in Mathematical
Physics, vol. 111. Springer Nature, 2021.
ista: Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical
Physics. 111, 20.
mla: Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” Letters
in Mathematical Physics, vol. 111, 20, Springer Nature, 2021, doi:10.1007/s11005-021-01358-5.
short: A.B. Lauritsen, Letters in Mathematical Physics 111 (2021).
date_created: 2021-02-15T09:27:14Z
date_published: 2021-02-12T00:00:00Z
date_updated: 2023-09-05T15:17:16Z
day: '12'
ddc:
- '510'
department:
- _id: GradSch
doi: 10.1007/s11005-021-01358-5
external_id:
isi:
- '000617531900001'
file:
- access_level: open_access
checksum: eaf1b3ff5026f120f0929a5c417dc842
content_type: application/pdf
creator: dernst
date_created: 2021-02-15T09:31:07Z
date_updated: 2021-02-15T09:31:07Z
file_id: '9122'
file_name: 2021_LettersMathPhysics_Lauritsen.pdf
file_size: 329332
relation: main_file
success: 1
file_date_updated: 2021-02-15T09:31:07Z
has_accepted_license: '1'
intvolume: ' 111'
isi: 1
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: The BCS energy gap at low density
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 111
year: '2021'
...
---
_id: '9285'
abstract:
- lang: eng
text: We first review the problem of a rigorous justification of Kubo’s formula
for transport coefficients in gapped extended Hamiltonian quantum systems at zero
temperature. In particular, the theoretical understanding of the quantum Hall
effect rests on the validity of Kubo’s formula for such systems, a connection
that we review briefly as well. We then highlight an approach to linear response
theory based on non-equilibrium almost-stationary states (NEASS) and on a corresponding
adiabatic theorem for such systems that was recently proposed and worked out by
one of us in [51] for interacting fermionic systems on finite lattices. In the
second part of our paper, we show how to lift the results of [51] to infinite
systems by taking a thermodynamic limit.
article_number: '2060004'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Stefan
full_name: Teufel, Stefan
last_name: Teufel
citation:
ama: 'Henheik SJ, Teufel S. Justifying Kubo’s formula for gapped systems at zero
temperature: A brief review and some new results. Reviews in Mathematical Physics.
2021;33(01). doi:10.1142/s0129055x20600041'
apa: 'Henheik, S. J., & Teufel, S. (2021). Justifying Kubo’s formula for gapped
systems at zero temperature: A brief review and some new results. Reviews in
Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600041'
chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Justifying Kubo’s Formula for
Gapped Systems at Zero Temperature: A Brief Review and Some New Results.” Reviews
in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600041.'
ieee: 'S. J. Henheik and S. Teufel, “Justifying Kubo’s formula for gapped systems
at zero temperature: A brief review and some new results,” Reviews in Mathematical
Physics, vol. 33, no. 01. World Scientific Publishing, 2021.'
ista: 'Henheik SJ, Teufel S. 2021. Justifying Kubo’s formula for gapped systems
at zero temperature: A brief review and some new results. Reviews in Mathematical
Physics. 33(01), 2060004.'
mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Justifying Kubo’s Formula for Gapped
Systems at Zero Temperature: A Brief Review and Some New Results.” Reviews
in Mathematical Physics, vol. 33, no. 01, 2060004, World Scientific Publishing,
2021, doi:10.1142/s0129055x20600041.'
short: S.J. Henheik, S. Teufel, Reviews in Mathematical Physics 33 (2021).
date_created: 2021-03-26T11:29:46Z
date_published: 2021-02-01T00:00:00Z
date_updated: 2023-02-23T13:53:59Z
day: '01'
ddc:
- '500'
doi: 10.1142/s0129055x20600041
extern: '1'
external_id:
arxiv:
- '2002.08669'
has_accepted_license: '1'
intvolume: ' 33'
issue: '01'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2002.08669
month: '02'
oa: 1
oa_version: Preprint
publication: Reviews in Mathematical Physics
publication_identifier:
issn:
- 0129-055X
- 1793-6659
publication_status: published
publisher: World Scientific Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Justifying Kubo’s formula for gapped systems at zero temperature: A brief
review and some new results'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2021'
...
---
_id: '9891'
abstract:
- lang: eng
text: 'Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127
(2019)], we present a modified “floating crystal” trial state for jellium (also
known as the classical homogeneous electron gas) with density equal to a characteristic
function. This allows us to show that three definitions of the jellium energy
coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache
[“Equality of the Jellium and uniform electron gas next-order asymptotic terms
for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb,
and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide
in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized
energy” studied in a series of papers by Serfaty and others, and thus, by the
work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate
the jellium energy to the order n term in the logarithmic energy of n points on
the unit 2-sphere. We improve upon known lower bounds for this renormalized energy.
Additionally, we derive formulas for the jellium energy of periodic configurations.'
acknowledgement: The author would like to thank Robert Seiringer for guidance and
many helpful comments on this project. The author would also like to thank Mathieu
Lewin for his comments on the manuscript and Lorenzo Portinale for providing his
lecture notes for the course “Mathematics of quantum many-body systems” in spring
2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these
lecture notes.
article_number: '083305'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Asbjørn Bækgaard
full_name: Lauritsen, Asbjørn Bækgaard
id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1
last_name: Lauritsen
orcid: 0000-0003-4476-2288
citation:
ama: Lauritsen AB. Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. 2021;62(8). doi:10.1063/5.0053494
apa: Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0053494
chicago: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
Configurations.” Journal of Mathematical Physics. AIP Publishing, 2021.
https://doi.org/10.1063/5.0053494.
ieee: A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,”
Journal of Mathematical Physics, vol. 62, no. 8. AIP Publishing, 2021.
ista: Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations.
Journal of Mathematical Physics. 62(8), 083305.
mla: Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium
Configurations.” Journal of Mathematical Physics, vol. 62, no. 8, 083305,
AIP Publishing, 2021, doi:10.1063/5.0053494.
short: A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).
date_created: 2021-08-12T07:08:36Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2023-08-11T10:29:48Z
day: '01'
ddc:
- '530'
department:
- _id: GradSch
- _id: RoSe
doi: 10.1063/5.0053494
external_id:
arxiv:
- '2103.07975'
isi:
- '000683960800003'
file:
- access_level: open_access
checksum: d035be2b894c4d50d90ac5ce252e27cd
content_type: application/pdf
creator: cziletti
date_created: 2021-10-27T12:57:06Z
date_updated: 2021-10-27T12:57:06Z
file_id: '10188'
file_name: 2021_JMathPhy_Lauritsen.pdf
file_size: 4352640
relation: main_file
success: 1
file_date_updated: 2021-10-27T12:57:06Z
has_accepted_license: '1'
intvolume: ' 62'
isi: 1
issue: '8'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication: Journal of Mathematical Physics
publication_identifier:
eissn:
- 1089-7658
issn:
- 0022-2488
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Floating Wigner crystal and periodic jellium configurations
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: 62
year: '2021'
...