%0 Journal Article
%T Universality in the bulk of the spectrum for complex sample covariance matrices
%A S. P¨¦ch¨¦
%J Mathematics
%D 2009
%I arXiv
%X We consider complex sample covariance matrices $M_N=\frac{1}{N}YY^*$ where $Y$ is a $N \times p$ random matrix with i.i.d. entries $Y_{ij}, 1\leq i\leq N, 1\leq j \leq p$ with distribution $F$. Under some regularity and decay assumption on $F$, we prove universality of some local eigenvalue statistics in the bulk of the spectrum in the limit where $N\to \infty$ and $\lim_{N \to \infty}p/N =\gamma$ for any real number $\gamma \in (0, \infty)$.
%U http://arxiv.org/abs/0912.2493v2