On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble
نویسنده
چکیده
We consider the deformed Gaussian Ensemble Hn = Mn + H (0) n in which H (0) n is a diagonal Hermitian matrix and Mn is the Gaussian Unitary Ensemble (GUE) random matrix. Assuming that the Normalized Counting Measure of H (0) n (both non-random and random) converges weakly to a measure N (0) with a bounded support we prove universality of the local eigenvalue statistics in the bulk of the limiting spectrum of Hn.
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تاریخ انتشار 2008