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Schlein, Benjamin (2015). Spectral properties of Wigner matrices. Lecture Notes in Mathematics, 2143:179-205.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Language: | English |
| Date: | 2015 |
| Deposited On: | 03 Feb 2016 08:01 |
| Last Modified: | 14 Aug 2024 01:40 |
| Publisher: | Springer |
| ISSN: | 0075-8434 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/978-3-319-17674-1_5 |
Schlein, Benjamin