This is a study of the universality of spectral statistics for large random matrices. Considered
are symmetric, Hermitian, or quaternion self-dual random matrices with independent …

A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York
University This book is a concise and self-contained introduction of recent techniques to …

In this paper, we consider the universality of the local eigenvalue statistics of random
matrices. Our main result shows that these statistics are determined by the first four moments …

We consider the ensemble of adjacency matrices of Erdős–Rényi random graphs, that is,
graphs on N vertices where every edge is chosen independently and with probability …

Consider N× N Hermitian or symmetric random matrices H with independent entries, where
the distribution of the (i, j) matrix element is given by the probability measure νij with zero …

Abstract Consider N× N Hermitian or symmetric random matrices H where the distribution of
the (i, j) matrix element is given by a probability measure ν ij with a subexponential decay …

We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs, ie graphs
on N vertices where every edge is chosen independently and with probability p≡ p (N). We …

We consider a general class of N*N random matrices whose entries h_ij are independent up
to a symmetry constraint, but not necessarily identically distributed. Our main result is a local …

These expository notes are centered around the circular law theorem, which states that the
empirical spectral distribution of an× n random matrix with iid entries of variance 1/n tends to …

This is a continuation of our earlier paper (Tao and Vu, http://arxiv. org/abs/0908.1982 v4
[math. PR], 2010) on the universality of the eigenvalues of Wigner random matrices. The …