Bulk universality for Wigner Hermitian matrices with subexponential decay

Mathematical Research Letters

Volumn 17, Issue 4, 2010, Pages 667-674

  Erdos, László ^a   Ramírez, José ^b   Schlein, Benjamin ^c   Tao, Terence ^d   Van, Vu ^e   Yau, Horng Tzer ^f  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSIDAD DE COSTA RICA   (Costa Rica)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^d UNIVERSITY OF CALIFORNIA   (United States)

^e RUTGERS UNIVERSITY   (United States)

^f HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956898369     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2010.v17.n4.a7     Document Type: Article

References (7)

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2. L. Erdös, B. Schlein and H-T. Yau, Wegner estimate and level repulsion for Wigner random matrices. Int. Math. Res. Notices. 2010, No.3, 436-479 (2010)
3. L. Erdös, S. Péché, J. Ramírez, B. Schlein and H-T. Yau, Bulk universality for Wigner matrices. Commun. Pure Appl. Math. Volume 63, Issue 7, p 895-925 (2010).
4. K. Johansson, Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices, Comm. Math. Phys. 215 (2001), no.3, 683-705.
5. M.L. Mehta, Random matrices and the statistical theory of energy levels, Academic Press, New York, NY, 1967.
6. L. Pastur, On the spectrum of random matrices, Teoret. Mat. Fiz. 10, 102-112 (1973).
7. T. Tao and V. Vu, Random matrices: Universality of the local eigenvalue statistics, submitted.