Local Semicircle Law and Complete Delocalization for Wigner Random Matrices-Reference-Cited by-同舟云学术

Local Semicircle Law and Complete Delocalization for Wigner Random Matrices

Published:2008-09-24 Issue:2 Volume:287 Page:641-655
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Erdős László,Schlein Benjamin,Yau Horng-Tzer

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-008-0636-9.pdf

Reference10 articles.

1. Anderson, G.W., Guionnet, A., Zeitouni, O.: Lecture notes on random matrices. Book in preparation

2. Bai Z.D., Miao B., Tsay J.: Convergence rates of the spectral distributions of large Wigner matrices. Int. Math. J. 1(1), 65–90 (2002)

3. Bobkov S.G., Götze F.: Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Funct. Anal. 163(1), 1–28 (1999)

4. Deift, P.: Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Courant Lecture Notes in Mathematics 3, Providence, RI: American Mathematical Society, 1999

5. Erdős, L., Schlein, B., Yau, H.-T.: Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. http://arxiv.org/abs/0711.1730 , 2007

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