112 citations · 220 across the 15 of their papers we have counts for
20 papers
Local semicircle law under fourth moment condition
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov
We consider a random symmetric matrix with upper triangular entries being independent random variables with mean zero and unit variance. Assuming tha…
On Local laws for non-Hermitian random matrices and their products
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov
The aim of this paper is to prove a local version of the circular law for non-Hermitian random matrices and its generalization to the product of non-Hermitian random matrices under…
On the Local Semicircular Law for Wigner Ensembles
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov +1
We consider a random symmetric matrix with upper triangular entries being i.i.d. random variables with mean zero and unit variance. We additionally s…
Optimal bounds for convergence of expected spectral distributions to the semi-circular law for the moment ensemble
F. Götze, A. Tikhomirov
This paper extends a previous bound of order of the authors (arXiv:1405.7820[math.PR]), for the rate of convergence in Kolmogorov distance of the expected spectral dist…
Local semicircle law under moment conditions. Part II: Localization and delocalization
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov
We consider a random symmetric matrix with upper triangular entries being independent identically distributed random variables with mean zero and uni…
Local semicircle law under moment conditions. Part I: The Stieltjes transform
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov
We consider a random symmetric matrix in which the upper triangular entries are independent identically distributed random variables with mean zero a…