@article{2762,
abstract = {We consider N ×N Hermitian Wigner random matrices H where the probabilitydensity for each matrix element is given by the density v(x)=e-U(x). We prove that the eigenvalue statistics in the bulk are given by the Dyson sine kernel provided that U ∈ C 6(R{double-struck}) with at most polynomially growing derivatives and v(x)≤C e-c(x) for x large. The proof is based upon an approximate time reversal of the Dyson Brownian motion combined with the convergence of the eigenvalue density to the Wigner semicircle law on short scales.},
author = {László Erdös and Ramírez, José A and Yau, Horng-Tzer and Péché, Sandrine and Schlein, Benjamin},
journal = {Communications on Pure and Applied Mathematics},
number = {7},
pages = {895 -- 925},
publisher = {Wiley-Blackwell},
title = {{Bulk universality for Wigner matrices}},
doi = {10.1002/cpa.20317},
volume = {63},
year = {2010},
}