## Ofer Zeitouni

**Abstract: **

For a symmetric random matrix X of dimension N, and a test function
f, let f_N denote the trace of f(X_N). For matrices with independent
entries of variance of order 1/N (not necessarily identical variance),
I will present central limit theorems for f_N - Ef_N. These are valid for
Lipshitz f if the entries of the matrix are regular enough.