Random matrices: The Universality phenomenon for Wigner ensembles
Probability
2012-02-02 v1
Abstract
In this paper, we survey some recent progress on rigorously establishing the universality of various spectral statistics of Wigner Hermitian random matrix ensembles, focusing on the Four Moment Theorem and its refinements and applications, including the universality of the sine kernel and the Central limit theorem of several spectral parameters. We also take the opportunity here to issue some errata for some of our previous papers in this area.
Keywords
Cite
@article{arxiv.1202.0068,
title = {Random matrices: The Universality phenomenon for Wigner ensembles},
author = {Terence Tao and Van Vu},
journal= {arXiv preprint arXiv:1202.0068},
year = {2012}
}
Comments
58 pages