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Mathematics

D-Index
44
Citations
8471
World Ranking
1579
National Ranking
94

Research.com Recognitions

  • 2018 - Member of the European Academy of Sciences
  • 2017 - Academie des sciences, France
  • 2017 - Member of Academia Europaea

Overview

Alice Guionnet is affiliated with the École Normale Supérieure de Lyon in France. Their research predominantly falls within the field of Mathematics, with a focus on specialized subfields including Statistics and Probability, Mathematical Physics, Discrete Mathematics and Combinatorics, Geometry and Topology, and Signal Processing.

Their recent publications demonstrate a strong involvement in topics related to random matrices and their applications. Key topics of research include Random Matrices and Applications, Advanced Combinatorial Mathematics, Advanced Algebra and Geometry, Stochastic Processes and Statistical Mechanics, Spectral Theory in Mathematical Physics, Markov Chains and Monte Carlo Methods, and Blind Source Separation Techniques.

Their notable recent papers include the following:

  • "Large deviations for the largest eigenvalue of Rademacher matrices" (2020, The Annals of Probability)
  • "On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices" (2022, Cambridge Journal of Mathematics)
  • "Large deviations for the largest eigenvalue of the sum of two random matrices" (2020, Electronic Journal of Probability)
  • "Asymptotic expansion of matrix models in the multi-cut regime" (2024, Forum of Mathematics Sigma)
  • "Large deviations for the largest eigenvalues and eigenvectors of spiked Gaussian random matrices" (2020, Electronic Communications in Probability)

The frequent co-authors associated with this researcher include Jonathan Husson, Justin Ko, Florent Krząkała, Lenka Zdeborová, and Jiaoyang Huang.

Guionnet's contributions have been published multiple times in venues such as arXiv (Cornell University), Communications in Mathematical Physics, Electronic Journal of Probability, The Annals of Probability, and Forum of Mathematics Sigma.

Their professional recognition includes membership in several academies: Member of the European Academy of Sciences since 2018, Member of Academia Europaea since 2017, and membership in the Académie des sciences, France, since 2017.

Best Publications

  • An Introduction to Random Matrices

    Greg W. Anderson;Alice Guionnet;Ofer Zeitouni

  • Large deviations for Wigner's law and Voiculescu's non-commutative entropy

    G. Ben Arous;A. Guionnet

  • Lectures on Logarithmic Sobolev Inequalities

    A. Guionnet;B. Zegarlinski

  • On the stability of interacting processes with applications to filtering and genetic algorithms

    Pierre Del Moral;Alice Guionnet

  • Aging of spherical spin glasses

    G. Ben Arous;A. Dembo;A. Guionnet

  • CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES

    Alice Guionnet;Ofer Zeitouni

  • Asymptotic Expansion of β Matrix Models in the One-cut Regime

    G. Borot;A. Guionnet

  • Asymptotic expansion of beta matrix models in the one-cut regime

    Gaëtan Borot;Alice Guionnet

  • The single ring theorem

    Alice Guionnet;Manjunath Krishnapur;Ofer Zeitouni

  • Fluctuations of the Extreme Eigenvalues of Finite Rank Deformations of Random Matrices

    Florent Benaych-Georges;Alice Guionnet;Mylène Maida

  • Central limit theorem for nonlinear filtering and interacting particle systems

    P. Del Moral;A. Guionnet

  • Large Deviations Asymptotics for Spherical Integrals

    Alice Guionnet;Ofer Zeitouni

  • The Spectrum of Heavy Tailed Random Matrices

    Gérard Ben Arous;Gérard Ben Arous;Alice Guionnet

  • A Fourier view on the R-transform and related asymptotics of spherical integrals

    A. Guionnet;M. Maı¨da

  • Random matrices, free probability, planar algebras and subfactors

    A. Guionnet;V. F. R. Jones;D. Shlyakhtenko

  • Asymptotic expansion of beta matrix models in the multi-cut regime

    Gaëtan Borot;Alice Guionnet

  • Large deviations upper bounds and central limit theorems for non-commutative functionals of Gaussian large random matrices

    Alice Guionnet

  • Large deviations for Langevin spin glass dynamics

    G. Ben Arous;A. Guionnet

  • Large Random Matrices: Lectures on Macroscopic Asymptotics

    Alice Guionnet

  • First Order Asymptotics of Matrix Integrals; A Rigorous Approach Towards the Understanding of Matrix Models

    Alice Guionnet

Frequent Co-Authors

Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Amir Dembo
Amir Dembo Stanford University
Benoît Collins
Benoît Collins Kyoto University
Vaughan F. R. Jones
Vaughan F. R. Jones Vanderbilt University
Martin Hairer
Martin Hairer Imperial College London
Charles Bordenave
Charles Bordenave Aix-Marseille University
Paul Zinn-Justin
Paul Zinn-Justin University of Melbourne

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