Large Deviations in Random Matrix Theory

Información del proyecto

LDRaM

Identificador del acuerdo de subvención: 884584

DOI

10.3030/884584

Proyecto cerrado

Fecha de la firma de la CE 6 Mayo 2020

Fecha de inicio 1 Septiembre 2020

Fecha de finalización 31 Agosto 2026

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 2 384 537,50

Aportación de la UE

€ 2 384 537,50

Coordinado por

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (34)

On the equilibrium measure for the Lukyanov integral

Autores: Charlie Dworaczek Guera, Karol K. Kozlowski
Publicado en: Journal of Mathematical Physics, Edición 66, 2025, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0252653

Large deviations for Gibbs ensembles of the classical Toda chain

Autores: Alice Guionnet, Ronan Memin
Publicado en: Electronic Journal of Probability, Edición 27, 2023, ISSN 1083-6489
Editor: 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

Autores: Frank Göhmann, Karol K Kozlowski
Publicado en: Journal of Statistical Mechanics: Theory and Experiment, Edición 2024, 2025, Página(s) 033101, ISSN 1742-5468
Editor: Institute of Physics
DOI: 10.1088/1742-5468/ad267c

Asymptotics of the partition function for β-ensembles at high temperature

Autores: Charlie Dworaczek Guera
Publicado en: Electronic Journal of Probability, Edición 31, 2026, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/26-ejp1544

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

Autores: Frank Göhmann, Karol K Kozlowski, Mikhail D Minin
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 56, 2023, Página(s) 475003, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ad058a

Large deviation principles via spherical integrals

Autores: Serban Belinschi, Alice Guionnet and Jiaoyang Huang
Publicado en: probability and Mathematical physics, 2022, ISSN 2690-0998
Editor: msp
DOI: 10.2140/pmp.2022.3.543

Prethermalization for Deformed Wigner Matrices

Autores: László Erdős, Joscha Henheik, Jana Reker, Volodymyr Riabov
Publicado en: Annales Henri Poincaré, Edición 26, 2025, Página(s) 1991-2033, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-024-01518-y

Spin conductivity of the XXZ chain in the antiferromagnetic massive regime

Autores: Frank Göhmann; Karol Kozlowski; Jesko Sirker; Junji Suzuki
Publicado en: "SciPost Phys., 2022, 12 (5), pp.158. ⟨10.21468/SciPostPhys.12.5.158⟩", Edición 2, 2022, ISSN 2542-4653
Editor: SciPost
DOI: 10.48550/arxiv.2202.05304

Low-rank matrix estimation with inhomogeneous noise

Autores: Alice Guionnet, Justin Ko, Florent Krzakala, Lenka Zdeborová
Publicado en: Information and Inference: A Journal of the IMA, Edición 14, 2025, ISSN 2049-8772
Editor: Oxford University Press (OUP)
DOI: 10.1093/imaiai/iaaf010

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

Autores: Augeri, Fanny and Guionnet, Alice and Husson, Jonathan
Publicado en: Communication in mathematical physics, 2021, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04027-9

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Autores: Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo
Publicado en: Communications on Pure and Applied Mathematics, Edición 79, 2026, Página(s) 2291-2369, ISSN 0010-3640
Editor: John Wiley & Sons Inc.
DOI: 10.1002/cpa.70056

Asymptotics of rectangular spherical integrals

Autores: Alice Guionnet, Jiaoyang Huang
Publicado en: Journal of Functional Analysis, Edición 285, 2024, Página(s) 110144, ISSN 0022-1236
Editor: Academic Press
DOI: 10.1016/j.jfa.2023.110144

Asymptotic normality of pattern counts in conjugacy classes

Autores: Valentin Féray, Mohamed Slim Kammoun
Publicado en: Electronic Journal of Probability, Edición 29, 2024, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1113

Asymptotics of Symmetric Polynomials: A Dynamical Point of View

Autores: Alice Guionnet, Jiaoyang Huang
Publicado en: Communications in Mathematical Physics, Edición 407, 2026, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-026-05639-9

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

Autores: Patrik Ferrari, Alessandra Occelli
Publicado en: The Annals of Applied Probability, Edición 34, 2024, ISSN 1050-5164
Editor: Institute of Mathematical Statistics
DOI: 10.1214/23-aap1974

Asymptotics of $k$ dimensional spherical integrals and Applications

Autores: Guionnet, Alice; Husson, Jonathan
Publicado en: ALEA : Latin American Journal of Probability and Mathematical Statistics, Edición 1, 2022, ISSN 1980-0436
Editor: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.48550/arxiv.2101.01983

Ballistic Particle Transport and Drude Weight in Gases

Autores: Frank Göhmann, Andreas Klümper, Karol K. Kozlowski
Publicado en: Physical Review Letters, Edición 135, 2025, ISSN 0031-9007
Editor: American Physical Society
DOI: 10.1103/395w-v9fq

Hydrodynamics for the ABC model with slow/fast boundary

Autores: Patricia Gonçalves, Ricardo Misturini, Alessandra Occelli
Publicado en: Stochastic Processes and their Applications, Edición 161, 2024, Página(s) 350-384, ISSN 0304-4149
Editor: Elsevier BV
DOI: 10.1016/j.spa.2023.04.002

Fay Identities of Pfaffian Type for Hyperelliptic Curves

Autores: null null, Gaëtan Borot, null null, null null, Thomas Buc-d'Alché, null null
Publicado en: Symmetry, Integrability and Geometry: Methods and Applications, 2024, ISSN 1815-0659
Editor: 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

Autores: Thomas Buc-d’Alché
Publicado en: Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, Edición 13, 2026, Página(s) 1-79, ISSN 2308-5827
Editor: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/aihpd/201

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

Autores: Alex Little
Publicado en: Symmetry, Integrability and Geometry: Methods and Applications, 2024, ISSN 1815-0659
Editor: 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

Autores: Jonathan Husson
Publicado en: Random Matrices: Theory and Applications, Edición 14, 2025, ISSN 2010-3263
Editor: World Scientific Pub Co Pte Ltd
DOI: 10.1142/s201032632550008x

Localized Phase for the Erdős–Rényi Graph

Autores: Johannes Alt, Raphael Ducatez, Antti Knowles
Publicado en: Communications in Mathematical Physics, Edición 405, 2024, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-023-04918-z

CLT for real β-ensembles at high temperature

Autores: Charlie Dworaczek Guera, Ronan Memin
Publicado en: Electronic Journal of Probability, Edición 29, 2024, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1233

On the Six-Vertex Model’s Free Energy

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

Large deviations for the largest eigenvalue of matrices with variance profiles

Autores: Jonathan Husson
Publicado en: Electronic Journal of Probability, Edición 27, 2024, ISSN 1083-6489
Editor: 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

Autores: Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski
Publicado en: Probability and Mathematical Physics, Edición 6, 2025, Página(s) 1507-1658, ISSN 2690-1005
Editor: 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

Autores: Benoît Collins, Alice Guionnet, Félix Parraud
Publicado en: Cambridge Journal of Mathematics, Edición 10, 2024, Página(s) 195-260, ISSN 2168-0930
Editor: 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

Autores: Mazzuca, G.; Memin, R.
Publicado en: Ann Henri Poincare, Edición 36, 2025, ISSN 0246-0203
Editor: Elsevier BV

Global law of conjugate kernel random matrices with heavy-tailed weights

Autores: Alice Guionnet, Vanessa Piccolo
Publicado en: Electronic Journal of Probability, Edición 31, 2026, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/25-ejp1464

A multiscale cavity method for sublinear-rank symmetric matrix factorization

Autores: Jean Barbier, Justin Ko, Anas A. Rahman
Publicado en: Mathematical Statistics and Learning, Edición 9, 2026, Página(s) 1-68, ISSN 2520-2316
Editor: European Mathematical Society - EMS - Publishing House GmbH
DOI: 10.4171/msl/57

Multi-point functional central limit theorem for Wigner matrices

Autores: Jana Reker
Publicado en: Electronic Journal of Probability, Edición 29, 2024, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/24-ejp1247

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

Autores: Guido Mazzuca, Ronan Memin
Publicado en: Electronic Journal of Probability, Edición 28, 2023, ISSN 1083-6489
Editor: Institute of Mathematical Statistics
DOI: 10.1214/23-ejp941

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

Autores: Alice Guionnet, Justin Ko, Florent Krzakala, Lenka Zdeborová
Publicado en: Communications in Mathematical Physics, Edición 406, 2025, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-024-05179-0

Book chapters (3)

Bernoulli random matrices

Autores: Alice Guionnet
Publicado en: European Congress of Mathematics, 2025, Página(s) 45-71
Editor: EMS Press
DOI: 10.4171/8ecm/34

Permutation Recovery of Spikes in Noisy High-Dimensional Tensor Estimation

Autores: Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo
Publicado en: Stochastic Analysis and Applications 2025, 2026, Página(s) 425-476
Editor: Springer Nature Switzerland
DOI: 10.1007/978-3-032-03914-9_15

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

Autores: Karol Kajetan Kozlowski
Publicado en: International Congress of Mathematicians, 2024, Página(s) 4096-4118
Editor: EMS Press
DOI: 10.4171/icm2022/96

Other (23)

On multipoint correlation functions in the Sinh-Gordon 1+1 dimensional quantum field theory

Autores: Karol K. Kozlowski, Alex Simon
Publicado en: 2025
Editor: arxiv

Gaussian free field convergence of the six-vertex model with −1≤Δ≤−12

Autores: Hugo Duminil-Copin, Karol Kajetan Kozlowski, Piet Lammers, Ioan Manolescu
Publicado en: 2026
Editor: arxiv

Large deviations of the periodic Toda chain

Autores: Tamara Grava, Alice Guionnet, Karol K. Kozlowski, Alex Little
Publicado en: 2026
Editor: arxiv

Large deviation principle for the largest eigenvalue of random matrices with a variance profile

Autores: Ducatez, Raphaël; Guionnet, Alice; Husson, Jonathan
Publicado en: Edición 5, 2024
Editor: arxiv
DOI: 10.48550/arxiv.2403.05413

LDP for the largest eigenvalue of Kronecker random matrices

Autores: Alice Guionnet, Jonathan Husson, Jana Reker
Publicado en: 2025
Editor: arxiv

Enumeration of maps with the Dumitriu-Edelman model

Autores: Thomas Buc-d'Alché
Publicado en: 2025
Editor: arxiv

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

Autores: Mazzuca, Guido; Memin, Ronan
Publicado en: Edición 5, 2023
Editor: arxiv
DOI: 10.48550/arxiv.2304.10323

About universality of large deviation principles for conjugacy invariant permutations

Autores: Guionnet, Alice; Kammoun, Mohamed
Publicado en: Edición 12, 2023
Editor: arxiv
DOI: 10.48550/arxiv.2312.00402

Spherical Integrals of Sublinear Rank

Autores: Husson, Jonathan; Ko, Justin
Publicado en: Edición 4, 2022
Editor: arxiv
DOI: 10.48550/arxiv.2208.03642

Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA

Autores: Arous, Gérard; Gerbelot, Cédric; Piccolo, Vanessa
Publicado en: Edición 9, 2024
Editor: arxiv
DOI: 10.48550/arxiv.2408.06401

Form factors of field exponentials in the 1+1 dimensional Sine-Gordon model

Autores: K.K. Kozlowski et A. Simon
Publicado en: 2026
Editor: arxiv

Large deviations for the smallest eigenvalue of a deformed GOE with an outlier

Autores: Boursier, Jeanne; Guionnet, Alice
Publicado en: Edición 3, 2024
Editor: arxiv
DOI: 10.48550/arxiv.2408.09256

Wightman axiomatics of the bootstrap construction of the 1+1 dimensional Sinh-Gordon model

Autores: Karol K. Kozlowski, Alex Simon
Publicado en: 2025
Editor: arxiv

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

Autores: Piccolo, Vanessa
Publicado en: https://hal.science/hal-04354356, Edición 5, 2023
Editor: arxiv
DOI: 10.48550/arxiv.2312.12323

Large deviations for macroscopic observables of heavy-tailed matrices

Autores: Bordenave, Charles; Guionnet, Alice; Male, Camille
Publicado en: Edición 3, 2024
Editor: arxiv
DOI: 10.48550/arxiv.2409.14027

Asymptotic expansion of the partition function for $β$-ensembles with complex potentials

Autores: Guionnet, Alice; Kozlowski, Karol; Little, Alex
Publicado en: Edición 5, 2024
Editor: arxiv
DOI: 10.48550/arxiv.2411.10610

Matrix models at low temperature

Autores: Guionnet, Alice; Maurel-Segala, Édouard
Publicado en: https://hal.science/hal-03865188, Edición 1, 2022
Editor: arxiv
DOI: 10.48550/arxiv.2210.05239

One-sided large deviations for the ground-state energy of spin glasses

Autores: Hong-Bin Chen, Alice Guionnet, Justin Ko, Bertrand Lacroix-A-Chez-Toine, Jean-Christophe Mourrat
Publicado en: 2026
Editor: arxiv

Spectral Phase Transitions in Non-Linear Wigner Spiked Models

Autores: Guionnet, Alice; Ko, Justin; Krzakala, Florent; Mergny, Pierre; Zdeborová, Lenka
Publicado en: Edición 5, 2023
Editor: arxiv
DOI: 10.48550/arxiv.2310.14055

About universality of large deviation principles for conjugacy invariant permutations

Autores: Guionnet, Alice; Kammoun, Mohamed, Slim
Publicado en: https://hal.science/hal-04316519, Edición 5, 2023
Editor: arxiv

Macroscopic asymptotics in discrete beta-ensembles and random tilings

Autores: Gaëtan Borot, Vadim Gorin, Alice Guionnet
Publicado en: 2026
Editor: arxiv

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

Autores: Cook, Nicholas A.; Ducatez, Raphael; Guionnet, Alice
Publicado en: https://hal.science/hal-04409980, Edición 18, 2023
Editor: arxiv
DOI: 10.48550/arxiv.2302.14823

Spectral Phase Transition and Optimal PCA in Block-Structured Spiked models

Autores: Mergny, Pierre; Ko, Justin; Krzakala, Florent
Publicado en: Edición 4, 2024
Editor: arxiv
DOI: 10.48550/arxiv.2403.03695

Thesis and dissertations (2)

Some problems in Random Matrix Theory and High-Dimensional Statistics

Autores: Vanessa Piccolo
Publicado en: 2026
Editor: Agence Bibliographique de l'Enseignement Supérieur
DOI: 10.70675/de38f229z7274z413az99e7zd4b27602685c

Analysis of certain integrable models via random matrices

Autores: Ronan Memin
Publicado en: 2026
Editor: Agence Bibliographique de l'Enseignement Supérieur
DOI: 10.70675/cc597f32zecc1z4f9dz8a98z3857c1052400

Conference proceedings (1)

Optimal Algorithms for the Inhomogeneous Spiked Wigner Model

Autores: Justin Ko, Florent Krzakala, Aleksandr Pak
Publicado en: Advances in Neural Information Processing Systems 36, 2026, Página(s) 76409-76424
Editor: Neural Information Processing Systems Foundation, Inc. (NeurIPS)
DOI: 10.52202/075280-3340

Non-peer reviewed articles (1)

Small cycle structure for words in conjugation invariant random permutations

Autores: Mohamed Slim Kammoun, Mylène Maïda
Publicado en: Random Structures & Algorithms, Edición 64, 2024, Página(s) 918-939, ISSN 1042-9832
Editor: John Wiley & Sons Inc.
DOI: 10.1002/rsa.21203