238 citations · 1.5k across the 41 of their papers we have counts for
Showing 2016 · math.PRShow all
3 papers · 2 filters
math.PR2016★ 2 cited
Isotropic self-consistent equations for mean-field random matrices
Yukun He, Antti Knowles, Ron Rosenthal
We present a simple and versatile method for deriving (an)isotropic local laws for general random matrices constructed from independent random variables. Our method is applicable t…
math.PR2016★ 3 cited
Mesoscopic eigenvalue statistics of Wigner matrices
Yukun He, Antti Knowles
We prove that the linear statistics of the eigenvalues of a Wigner matrix converge to a universal Gaussian process on all mesoscopic spectral scales, i.e. scales larger than the ty…
math.PR2016★ 71 cited
Lectures on the local semicircle law for Wigner matrices
Florent Benaych-Georges, Antti Knowles
These notes provide an introduction to the local semicircle law from random matrix theory, as well as some of its applications. We focus on Wigner matrices, Hermitian random matric…