CLT for spectra of submatrices of Wigner random matrices

We prove a CLT for spectra of submatrices of real symmetric and Hermitian Wigner matrices. We show that if in the standard normalization the fourth moment of the off-diagonal entries is GOE/GUE-like then the limiting Gaussian process can be viewed as a collection of simply yet nontrivially correlate...

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Bibliographic Details
Main Author: Borodin, Alexei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Independent University of Moscow 2015
Online Access:http://hdl.handle.net/1721.1/92817
https://orcid.org/0000-0002-2913-5238