Poisson Statistics for Beta Ensembles on the Real Line at High Temperature

Large deviations for empirical measures of mean-field Gibbs measures

(2019) Wei Liu et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

The High Temperature Crossover for General 2D Coulomb Gases

(2019) Gernot Akemann et al.   JOURNAL OF STATISTICAL PHYSICS

Generalized Gibbs Ensembles of the Classical Toda Chain

(2019) Herbert Spohn   JOURNAL OF STATISTICAL PHYSICS

A large deviation principle for empirical measures on Polish spaces: Application to singular Gibbs measures on manifolds

(2019) David García-Zelada   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Gaussian Beta Ensembles at High Temperature: Eigenvalue Fluctuations and Bulk Statistics

(2018) Fumihiko Nakano et al.   JOURNAL OF STATISTICAL PHYSICS

Global Spectrum Fluctuations for Gaussian Beta Ensembles: A Martingale Approach

(2017) Khanh Duy Trinh   JOURNAL OF THEORETICAL PROBABILITY

Poisson Statistics for Matrix Ensembles at Large Temperature

(2015) Florent Benaych-Georges et al.   JOURNAL OF STATISTICAL PHYSICS

First-order global asymptotics for confined particles with singular pair repulsion

(2014) Djalil Chafaï et al.   ANNALS OF APPLIED PROBABILITY

Edge Universality of Beta Ensembles

(2014) Paul Bourgade et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Universality of general $\beta$ -ensembles

(2014) Paul Bourgade et al.   DUKE MATHEMATICAL JOURNAL

Bulk universality of general β-ensembles with non-convex potential

(2012) Paul Bourgade et al.   JOURNAL OF MATHEMATICAL PHYSICS

Invariant Beta Ensembles and the Gauss-Wigner Crossover

(2012) Romain Allez et al.   PHYSICAL REVIEW LETTERS

Beta ensembles, stochastic Airy spectrum, and a diffusion

(2011) José A. Ramírez et al.   JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

Continuum limits of random matrices and the Brownian carousel

(2009) Benedek Valkó et al.   INVENTIONES MATHEMATICAE