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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Format: | Article |
Language: | en_US |
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Independent University of Moscow
2015
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Online Access: | http://hdl.handle.net/1721.1/92817 https://orcid.org/0000-0002-2913-5238 |