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arXiv 2011-03-08 0 views

A Wegner estimate for Wigner matrices

Maltsev, Anna · Schlein, Benjamin

Original · EN

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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