Large Deviations in Random Matrix Theory

Informazioni relative al progetto

LDRaM

ID dell’accordo di sovvenzione: 884584

DOI

10.3030/884584

Data della firma CE 6 Maggio 2020

Data di avvio 1 Settembre 2020

Data di completamento 31 Agosto 2026

Finanziato da

• EXCELLENT SCIENCE - European Research Council (ERC)

Costo totale

€ 2 384 537,50

Contributo UE

€ 2 384 537,50

Coordinato da

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS fornisce collegamenti ai risultati finali pubblici e alle pubblicazioni dei progetti ORIZZONTE.

I link ai risultati e alle pubblicazioni dei progetti del 7° PQ, così come i link ad alcuni tipi di risultati specifici come dataset e software, sono recuperati dinamicamente da .OpenAIRE .

Pubblicazioni

Peer reviewed articles (29)

On the equilibrium measure for the Lukyanov integral

Autori: Charlie Dworaczek Guera, Karol K. Kozlowski
Pubblicato in: Journal of Mathematical Physics, Numero 66, 2025, ISSN 0022-2488
Editore: American Institute of Physics
DOI: 10.1063/5.0252653

Large deviations for Gibbs ensembles of the classical Toda chain

Autori: Alice Guionnet, Ronan Memin
Pubblicato in: Electronic Journal of Probability, Numero 27, 2023, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp771

Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain

Autori: Frank Göhmann, Karol K Kozlowski
Pubblicato in: Journal of Statistical Mechanics: Theory and Experiment, Numero 2024, 2025, Pagina/e 033101, ISSN 1742-5468
Editore: Institute of Physics
DOI: 10.1088/1742-5468/ad267c

Thermal form-factor expansion of the dynamical two-point functions of local operators in integrable quantum chains

Autori: Frank Göhmann, Karol K Kozlowski, Mikhail D Minin
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 56, 2023, Pagina/e 475003, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ad058a

Large deviation principles via spherical integrals

Autori: Serban Belinschi, Alice Guionnet and Jiaoyang Huang
Pubblicato in: probability and Mathematical physics, 2022, ISSN 2690-0998
Editore: msp
DOI: 10.2140/pmp.2022.3.543

Prethermalization for Deformed Wigner Matrices

Autori: László Erdős, Joscha Henheik, Jana Reker, Volodymyr Riabov
Pubblicato in: Annales Henri Poincaré, Numero 26, 2025, Pagina/e 1991-2033, ISSN 1424-0637
Editore: Birkhauser Verlag
DOI: 10.1007/s00023-024-01518-y

Spin conductivity of the XXZ chain in the antiferromagnetic massive regime

Autori: Frank Göhmann; Karol Kozlowski; Jesko Sirker; Junji Suzuki
Pubblicato in: "SciPost Phys., 2022, 12 (5), pp.158. ⟨10.21468/SciPostPhys.12.5.158⟩", Numero 2, 2022, ISSN 2542-4653
Editore: SciPost
DOI: 10.48550/arxiv.2202.05304

Low-rank matrix estimation with inhomogeneous noise

Autori: Alice Guionnet, Justin Ko, Florent Krzakala, Lenka Zdeborová
Pubblicato in: Information and Inference: A Journal of the IMA, Numero 14, 2025, ISSN 2049-8772
Editore: Oxford University Press (OUP)
DOI: 10.1093/imaiai/iaaf010

Large deviations for the largest eigenvalue of sub-{G}aussian matrices

Autori: Augeri, Fanny and Guionnet, Alice and Husson, Jonathan
Pubblicato in: Communication in mathematical physics, 2021, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-021-04027-9

Asymptotics of rectangular spherical integrals

Autori: Alice Guionnet, Jiaoyang Huang
Pubblicato in: Journal of Functional Analysis, Numero 285, 2024, Pagina/e 110144, ISSN 0022-1236
Editore: Academic Press
DOI: 10.1016/j.jfa.2023.110144

Asymptotic normality of pattern counts in conjugacy classes

Autori: Valentin Féray, Mohamed Slim Kammoun
Pubblicato in: Electronic Journal of Probability, Numero 29, 2024, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1113

Time-time covariance for last passage percolation in half-space

Autori: Patrik Ferrari, Alessandra Occelli
Pubblicato in: The Annals of Applied Probability, Numero 34, 2024, ISSN 1050-5164
Editore: Institute of Mathematical Statistics
DOI: 10.1214/23-aap1974

Asymptotics of $k$ dimensional spherical integrals and Applications

Autori: Guionnet, Alice; Husson, Jonathan
Pubblicato in: ALEA : Latin American Journal of Probability and Mathematical Statistics, Numero 1, 2022, ISSN 1980-0436
Editore: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.48550/arxiv.2101.01983

Ballistic Particle Transport and Drude Weight in Gases

Autori: Frank Göhmann, Andreas Klümper, Karol K. Kozlowski
Pubblicato in: Physical Review Letters, Numero 135, 2025, ISSN 0031-9007
Editore: American Physical Society
DOI: 10.1103/395w-v9fq

Hydrodynamics for the ABC model with slow/fast boundary

Autori: Patricia Gonçalves, Ricardo Misturini, Alessandra Occelli
Pubblicato in: Stochastic Processes and their Applications, Numero 161, 2024, Pagina/e 350-384, ISSN 0304-4149
Editore: Elsevier BV
DOI: 10.1016/j.spa.2023.04.002

Fay Identities of Pfaffian Type for Hyperelliptic Curves

Autori: null null, Gaëtan Borot, null null, null null, Thomas Buc-d'Alché, null null
Pubblicato in: Symmetry, Integrability and Geometry: Methods and Applications, 2024, ISSN 1815-0659
Editore: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2024.054

Topological expansion of unitary integrals and maps

Autori: Thomas Buc-d’Alché
Pubblicato in: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, Numero 13, 2026, Pagina/e 1-79, ISSN 2308-5827
Editore: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/aihpd/201

A Riemann-Hilbert Approach to Skew-Orthogonal Polynomials of Symplectic Type

Autori: Alex Little
Pubblicato in: Symmetry, Integrability and Geometry: Methods and Applications, 2024, ISSN 1815-0659
Editore: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2024.076

Asymptotic behavior of multiplicative spherical integrals and S-transform

Autori: Jonathan Husson
Pubblicato in: Random Matrices: Theory and Applications, Numero 14, 2025, ISSN 2010-3263
Editore: World Scientific Pub Co Pte Ltd
DOI: 10.1142/s201032632550008x

Localized Phase for the Erdős–Rényi Graph

Autori: Johannes Alt, Raphael Ducatez, Antti Knowles
Pubblicato in: Communications in Mathematical Physics, Numero 405, 2024, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-023-04918-z

CLT for real β-ensembles at high temperature

Autori: Charlie Dworaczek Guera, Ronan Memin
Pubblicato in: Electronic Journal of Probability, Numero 29, 2024, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1233

On the Six-Vertex Model’s Free Energy

Autori: Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun, Ioan Manolescu, Tatiana Tikhonovskaia
Pubblicato in: Communications in mathematical physics, 2022, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-022-04459-x

Large deviations for the largest eigenvalue of matrices with variance profiles

Autori: Jonathan Husson
Pubblicato in: Electronic Journal of Probability, Numero 27, 2024, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/22-ejp793

Low-temperature spectrum of the quantum transfer matrix of the XXZ chain in the massless regime

Autori: Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski
Pubblicato in: Probability and Mathematical Physics, Numero 6, 2025, Pagina/e 1507-1658, ISSN 2690-1005
Editore: Mathematical Sciences Publishers
DOI: 10.2140/pmp.2025.6.1507

On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices

Autori: Benoît Collins, Alice Guionnet, Félix Parraud
Pubblicato in: Cambridge Journal of Mathematics, Numero 10, 2024, Pagina/e 195-260, ISSN 2168-0930
Editore: International Press
DOI: 10.4310/cjm.2022.v10.n1.a3

CLT for [Formula: see text] -Ensembles at High Temperature and for Integrable Systems: A Transfer Operator Approach

Autori: Mazzuca, G.; Memin, R.
Pubblicato in: Ann Henri Poincare, Numero 36, 2025, ISSN 0246-0203
Editore: Elsevier BV

Multi-point functional central limit theorem for Wigner matrices

Autori: Jana Reker
Pubblicato in: Electronic Journal of Probability, Numero 29, 2024, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1247

Large deviations for Ablowitz-Ladik lattice, and the Schur flow

Autori: Guido Mazzuca, Ronan Memin
Pubblicato in: Electronic Journal of Probability, Numero 28, 2023, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/23-ejp941

Estimating Rank-One Matrices with Mismatched Prior and Noise: Universality and Large Deviations

Autori: Alice Guionnet, Justin Ko, Florent Krzakala, Lenka Zdeborová
Pubblicato in: Communications in Mathematical Physics, Numero 406, 2025, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-024-05179-0

Book chapters (2)

Bernoulli random matrices

Autori: Alice Guionnet
Pubblicato in: European Congress of Mathematics, 2025, Pagina/e 45-71
Editore: EMS Press
DOI: 10.4171/8ecm/34

Bootstrap approach to 1+1-dimensional integrable quantum field theories: the case of the Sinh-Gordon model

Autori: Karol Kajetan Kozlowski
Pubblicato in: International Congress of Mathematicians, 2024, Pagina/e 4096-4118
Editore: EMS Press
DOI: 10.4171/icm2022/96

Other (6)

CLT for $β$ ensembles at high-temperature, and for integrable systems: a transfer operator approach

Autori: Mazzuca, Guido; Memin, Ronan
Pubblicato in: Numero 5, 2023
Editore: arxiv
DOI: 10.48550/arxiv.2304.10323

Spherical Integrals of Sublinear Rank

Autori: Husson, Jonathan; Ko, Justin
Pubblicato in: Numero 4, 2022
Editore: arxiv
DOI: 10.48550/arxiv.2208.03642

Topological complexity of spiked random polynomials and finite-rank spherical integrals

Autori: Piccolo, Vanessa
Pubblicato in: https://hal.science/hal-04354356, Numero 5, 2023
Editore: arxiv
DOI: 10.48550/arxiv.2312.12323

Matrix models at low temperature

Autori: Guionnet, Alice; Maurel-Segala, Édouard
Pubblicato in: https://hal.science/hal-03865188, Numero 1, 2022
Editore: arxiv
DOI: 10.48550/arxiv.2210.05239

About universality of large deviation principles for conjugacy invariant permutations

Autori: Guionnet, Alice; Kammoun, Mohamed, Slim
Pubblicato in: https://hal.science/hal-04316519, Numero 5, 2023
Editore: arxiv

Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices

Autori: Cook, Nicholas A.; Ducatez, Raphael; Guionnet, Alice
Pubblicato in: https://hal.science/hal-04409980, Numero 18, 2023
Editore: arxiv
DOI: 10.48550/arxiv.2302.14823

Non-peer reviewed articles (1)

Small cycle structure for words in conjugation invariant random permutations

Autori: Mohamed Slim Kammoun, Mylène Maïda
Pubblicato in: Random Structures & Algorithms, Numero 64, 2024, Pagina/e 918-939, ISSN 1042-9832
Editore: John Wiley & Sons Inc.
DOI: 10.1002/rsa.21203