A Wegner estimate for Wigner matrices

Details A Wegner estimate for Wigner matrices A Wegner estimate for Wigner matrices

2011-03-08

arxiv.org/abs/1103.1473v1

Physics

Mathematical Physics

15 pages. Contribution to the lecture notes of the 2010 Arizona School of Analysis

Scientific paper

In the first part of these notes, we review some of the recent developments in the study of the spectral properties of Wigner matrices. In the second part, we present a new proof of a Wegner estimate for the eigenvalues of a large class of Wigner matrices. The Wegner estimate gives an upper bound for the probability to find an eigenvalue in an interval $I$, proportional to the size $|I|$ of the interval.

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