English

Random matrices: The Four Moment Theorem for Wigner ensembles

Probability 2011-12-12 v1

Abstract

We survey some recent progress on rigorously establishing the universality of various spectral statistics of Wigner random matrix ensembles, focusing in particular on the Four Moment Theorem and its applications.

Keywords

Cite

@article{arxiv.1112.1976,
  title  = {Random matrices: The Four Moment Theorem for Wigner ensembles},
  author = {Terence Tao and Van Vu},
  journal= {arXiv preprint arXiv:1112.1976},
  year   = {2011}
}

Comments

17 pages, no figures, submitted, MSRI book series

R2 v1 2026-06-21T19:48:36.717Z