Transport Maps for $${\beta}$$ β -Matrix Models and Universality

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

Change of variables as a method to study general β-models: Bulk universality

(2014) M. Shcherbina   JOURNAL OF MATHEMATICAL PHYSICS

Free monotone transport

(2013) A. Guionnet et al.   INVENTIONES MATHEMATICAE

Local circular law for random matrices

(2013) Paul Bourgade et al.   PROBABILITY THEORY AND RELATED FIELDS

The local circular law II: the edge case

(2013) Paul Bourgade et al.   PROBABILITY THEORY AND RELATED FIELDS

Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices

(2013) Mylène Maïda et al.   PROBABILITY THEORY AND RELATED FIELDS

The local relaxation flow approach to universality of the local statistics for random matrices

(2012) László Erdős et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

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

(2012) G. Borot et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

Universality limits in the bulk for varying measures

(2008) Eli Levin et al.   ADVANCES IN MATHEMATICS

On Universality for Orthogonal Ensembles of Random Matrices

(2008) M. Shcherbina   COMMUNICATIONS IN MATHEMATICAL PHYSICS