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Spectral properties of Wigner matrices


Schlein, Benjamin (2015). Spectral properties of Wigner matrices. Lecture Notes in Mathematics, 2143:179-205.

Abstract

We review some recent results on the statistical properties of the spectrum of Wigner matrices. In particular, we discuss the local convergence of the density of states towards Wigner’s semicircle law, the rigidity of the eigenvalues of Wigner matrices and the universality of the local eigenvalue correlations.

Abstract

We review some recent results on the statistical properties of the spectrum of Wigner matrices. In particular, we discuss the local convergence of the density of states towards Wigner’s semicircle law, the rigidity of the eigenvalues of Wigner matrices and the universality of the local eigenvalue correlations.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2015
Deposited On:03 Feb 2016 08:01
Last Modified:05 Apr 2016 19:51
Publisher:Springer
ISSN:0075-8434
Publisher DOI:https://doi.org/10.1007/978-3-319-17674-1_5
Related URLs:http://www.recherche-portal.ch/primo_library/libweb/action/search.do?cs=frb&ct=frb&frbg=147009363&fctN=facet_frbrgroupid&fctV=147009363&doc=ebi01_prod010479104&lastPag=&lastPagIndx=1&rfnGrp=frbr&frbrSrt=date&dscnt=0&vl%28213214094UI0%29=any&scp.scps=scope (Library Catalogue)

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