374 citations
- École Normale Supérieure de LyonFR31 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Mathématiques Appliquées à Paris 5FR5 papers
- Laboratoire de Physique Théorique de la Matière CondenséeFR4 papers
- Université Paris CitéFR4 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR3 papers
- Institut de recherche mathématique de RennesFR3 papers
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- Courant Institute of Mathematical SciencesUS2 papers
- Instituto Nacional de Matemática Pura e AplicadaBR2 papers
- Laboratoire de Mathématiques Blaise PascalFR2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
4 papers · 2 filters
Cugliandolo-Kurchan equations for dynamics of Spin-Glasses
Gerard Ben Arous, Amir Dembo, Alice Guionnet
We study the Langevin dynamics for the family of spherical -spin disordered mean-field models and prove that in the limit of system size approaching infinity, the empirical…
Large deviations and stochastic calculus for large random matrices
Alice Guionnet
Large random matrices appear in different fields of mathematics and physics such as combinatorics, probability theory, statistics, operator theory, number theory, quantum field the…
Invariant Percolation and Harmonic Dirichlet Functions
Damien Gaboriau
The main goal of this paper is to answer question 1.10 and settle conjecture 1.11 of Benjamini-Lyons-Schramm [BLS99] relating harmonic Dirichlet functions on a graph to those of th…
Character expansion method for the first order asymptotics of a matrix integral
Alice Guionnet, Mylene Maida
The estimation of various matrix integrals as the size of the matrices goes to infinity is motivated by theoretical physics, geometry and free probability questions. On a rigorous…