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• #### Bulk universality for Wigner matrices ﻿

(Wiley-Blackwell, 2010)
We consider N × N Hermitian Wigner random matrices H where the probability density for each matrix element is given by the density ν(x) = e−U(x). We prove that the eigenvalue statistics in the bulk are given by the Dyson ...
• #### Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation ﻿

(Institute of Mathematical Statistics, 2010)
We consider N×N Hermitian random matrices with independent identically distributed entries (Wigner matrices). We assume that the distribution of the entries have a Gaussian component with variance N−3/4+βN−3/4+β for some ...