Large Deviations in Random Matrix Theory

Project Information

LDRaM

Grant agreement ID: 884584

DOI

10.3030/884584

EC signature date 6 May 2020

Start date 1 September 2020

End date 31 August 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 384 537,50

EU contribution

€ 2 384 537,50

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (29)

On the equilibrium measure for the Lukyanov integral

Author(s): Charlie Dworaczek Guera, Karol K. Kozlowski
Published in: Journal of Mathematical Physics, Issue 66, 2025, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0252653

Large deviations for Gibbs ensembles of the classical Toda chain

Author(s): Alice Guionnet, Ronan Memin
Published in: Electronic Journal of Probability, Issue 27, 2023, ISSN 1083-6489
Publisher: 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

Author(s): Frank Göhmann, Karol K Kozlowski
Published in: Journal of Statistical Mechanics: Theory and Experiment, Issue 2024, 2025, Page(s) 033101, ISSN 1742-5468
Publisher: 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

Author(s): Frank Göhmann, Karol K Kozlowski, Mikhail D Minin
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 56, 2023, Page(s) 475003, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ad058a

Large deviation principles via spherical integrals

Author(s): Serban Belinschi, Alice Guionnet and Jiaoyang Huang
Published in: probability and Mathematical physics, 2022, ISSN 2690-0998
Publisher: msp
DOI: 10.2140/pmp.2022.3.543

Prethermalization for Deformed Wigner Matrices

Author(s): László Erdős, Joscha Henheik, Jana Reker, Volodymyr Riabov
Published in: Annales Henri Poincaré, Issue 26, 2025, Page(s) 1991-2033, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-024-01518-y

Spin conductivity of the XXZ chain in the antiferromagnetic massive regime

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

Low-rank matrix estimation with inhomogeneous noise

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

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

Author(s): Augeri, Fanny and Guionnet, Alice and Husson, Jonathan
Published in: Communication in mathematical physics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04027-9

Asymptotics of rectangular spherical integrals

Author(s): Alice Guionnet, Jiaoyang Huang
Published in: Journal of Functional Analysis, Issue 285, 2024, Page(s) 110144, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2023.110144

Asymptotic normality of pattern counts in conjugacy classes

Author(s): Valentin Féray, Mohamed Slim Kammoun
Published in: Electronic Journal of Probability, Issue 29, 2024, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1113

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

Author(s): Patrik Ferrari, Alessandra Occelli
Published in: The Annals of Applied Probability, Issue 34, 2024, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-aap1974

Asymptotics of $k$ dimensional spherical integrals and Applications

Author(s): Guionnet, Alice; Husson, Jonathan
Published in: ALEA : Latin American Journal of Probability and Mathematical Statistics, Issue 1, 2022, ISSN 1980-0436
Publisher: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.48550/arxiv.2101.01983

Ballistic Particle Transport and Drude Weight in Gases

Author(s): Frank Göhmann, Andreas Klümper, Karol K. Kozlowski
Published in: Physical Review Letters, Issue 135, 2025, ISSN 0031-9007
Publisher: American Physical Society
DOI: 10.1103/395w-v9fq

Hydrodynamics for the ABC model with slow/fast boundary

Author(s): Patricia Gonçalves, Ricardo Misturini, Alessandra Occelli
Published in: Stochastic Processes and their Applications, Issue 161, 2024, Page(s) 350-384, ISSN 0304-4149
Publisher: Elsevier BV
DOI: 10.1016/j.spa.2023.04.002

Fay Identities of Pfaffian Type for Hyperelliptic Curves

Author(s): null null, Gaëtan Borot, null null, null null, Thomas Buc-d'Alché, null null
Published in: Symmetry, Integrability and Geometry: Methods and Applications, 2024, ISSN 1815-0659
Publisher: 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

Author(s): Thomas Buc-d’Alché
Published in: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, Issue 13, 2026, Page(s) 1-79, ISSN 2308-5827
Publisher: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/aihpd/201

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

Author(s): Alex Little
Published in: Symmetry, Integrability and Geometry: Methods and Applications, 2024, ISSN 1815-0659
Publisher: 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

Author(s): Jonathan Husson
Published in: Random Matrices: Theory and Applications, Issue 14, 2025, ISSN 2010-3263
Publisher: World Scientific Pub Co Pte Ltd
DOI: 10.1142/s201032632550008x

Localized Phase for the Erdős–Rényi Graph

Author(s): Johannes Alt, Raphael Ducatez, Antti Knowles
Published in: Communications in Mathematical Physics, Issue 405, 2024, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04918-z

CLT for real β-ensembles at high temperature

Author(s): Charlie Dworaczek Guera, Ronan Memin
Published in: Electronic Journal of Probability, Issue 29, 2024, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1233

On the Six-Vertex Model’s Free Energy

Author(s): Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun, Ioan Manolescu, Tatiana Tikhonovskaia
Published in: Communications in mathematical physics, 2022, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04459-x

Large deviations for the largest eigenvalue of matrices with variance profiles

Author(s): Jonathan Husson
Published in: Electronic Journal of Probability, Issue 27, 2024, ISSN 1083-6489
Publisher: 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

Author(s): Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski
Published in: Probability and Mathematical Physics, Issue 6, 2025, Page(s) 1507-1658, ISSN 2690-1005
Publisher: 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

Author(s): Benoît Collins, Alice Guionnet, Félix Parraud
Published in: Cambridge Journal of Mathematics, Issue 10, 2024, Page(s) 195-260, ISSN 2168-0930
Publisher: 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

Author(s): Mazzuca, G.; Memin, R.
Published in: Ann Henri Poincare, Issue 36, 2025, ISSN 0246-0203
Publisher: Elsevier BV

Multi-point functional central limit theorem for Wigner matrices

Author(s): Jana Reker
Published in: Electronic Journal of Probability, Issue 29, 2024, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1247

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

Author(s): Guido Mazzuca, Ronan Memin
Published in: Electronic Journal of Probability, Issue 28, 2023, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/23-ejp941

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

Author(s): Alice Guionnet, Justin Ko, Florent Krzakala, Lenka Zdeborová
Published in: Communications in Mathematical Physics, Issue 406, 2025, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-024-05179-0

Book chapters (2)

Bernoulli random matrices

Author(s): Alice Guionnet
Published in: European Congress of Mathematics, 2025, Page(s) 45-71
Publisher: EMS Press
DOI: 10.4171/8ecm/34

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

Author(s): Karol Kajetan Kozlowski
Published in: International Congress of Mathematicians, 2024, Page(s) 4096-4118
Publisher: EMS Press
DOI: 10.4171/icm2022/96

Other (6)

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

Author(s): Mazzuca, Guido; Memin, Ronan
Published in: Issue 5, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2304.10323

Spherical Integrals of Sublinear Rank

Author(s): Husson, Jonathan; Ko, Justin
Published in: Issue 4, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2208.03642

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

Author(s): Piccolo, Vanessa
Published in: https://hal.science/hal-04354356, Issue 5, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2312.12323

Matrix models at low temperature

Author(s): Guionnet, Alice; Maurel-Segala, Édouard
Published in: https://hal.science/hal-03865188, Issue 1, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2210.05239

About universality of large deviation principles for conjugacy invariant permutations

Author(s): Guionnet, Alice; Kammoun, Mohamed, Slim
Published in: https://hal.science/hal-04316519, Issue 5, 2023
Publisher: arxiv

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

Author(s): Cook, Nicholas A.; Ducatez, Raphael; Guionnet, Alice
Published in: https://hal.science/hal-04409980, Issue 18, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2302.14823

Non-peer reviewed articles (1)

Small cycle structure for words in conjugation invariant random permutations

Author(s): Mohamed Slim Kammoun, Mylène Maïda
Published in: Random Structures & Algorithms, Issue 64, 2024, Page(s) 918-939, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.21203