1D log gases and the renormalized energy: crystallization at vanishing temperature

Universality of general $\beta$ -ensembles

(2014) Paul Bourgade et al.   DUKE MATHEMATICAL JOURNAL

Renormalized Energy Concentration in Random Matrices

(2013) Alexei Borodin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Fluctuations of Linear Eigenvalue Statistics of β Matrix Models in the Multi-cut Regime

(2013) M. Shcherbina   JOURNAL OF STATISTICAL PHYSICS

From the Ginzburg-Landau Model to Vortex Lattice Problems

(2012) Etienne Sandier et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

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

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

Orthogonal and Symplectic Matrix Models: Universality and Other Properties

(2011) M. Shcherbina   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Variational problems with free boundaries for the fractional Laplacian

(2010) Luis Caffarelli et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum

(2010) Artur Avila et al.   Analysis & PDE

Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices

(2009) László Erdős et al.   ANNALS OF PROBABILITY

Continuum limits of random matrices and the Brownian carousel

(2009) Benedek Valkó et al.   INVENTIONES MATHEMATICAE