Random characteristics for Wigner matrices
Probability
2019-12-13 v2 Mathematical Physics
math.MP
Abstract
We extend the random characteristics approach to Wigner matrices whose entries are not required to have a normal distribution. As an application, we give a simple and fully dynamical proof of the weak local semicircle law in the bulk.
Cite
@article{arxiv.1906.10677,
title = {Random characteristics for Wigner matrices},
author = {Per von Soosten and Simone Warzel},
journal= {arXiv preprint arXiv:1906.10677},
year = {2019}
}