195 citations
- École Normale Supérieure de LyonFR5 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Centre de Recherche en Mathématiques de la DécisionFR1 paper
- Courant Institute of Mathematical SciencesUS1 paper
- McMaster UniversityCA1 paper
- Stanford UniversityUS1 paper
- Université Paris Dauphine-PSLFR1 paper
- Université Paris NanterreFR1 paper
- University of FlorenceIT1 paper
- University of MichiganUS1 paper
4 papers · 1 filter
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…