Universality Limits for Exponential Weights

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

Percy Deift, T. Kriecherbauer, K. T-R McLaughlin et al. · Communications on Pure and Applied Mathematics · 1999 · 850 citations

Natural Sciences, Mathematics, Physics +13

Semiclassical Asymptotics of Orthogonal Polynomials, Riemann-Hilbert Problem, and Universality in the Matrix Model

Pavel Bleher, Alexander Its · Annals of Mathematics · 1999 · 362 citations

Natural Sciences, Mathematics, Physics +14

Orthogonal polynomials

Paul Nevai · Memoirs of the American Mathematical Society · 1979 · 298 citations

Natural Sciences, Mathematics, Combinatorics +3

Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles

L. А. Pastur, Mariya Shcherbina · Journal of Statistical Physics · 1997 · 194 citations

Natural Sciences, Mathematics, Physics +8

A new approach to universality limits involving orthogonal polynomials

D. S. Lubinsky · Annals of Mathematics · 2009 · 161 citations · Full text

Natural Sciences, Mathematics, Probability Theory +8