Semicircle law and freeness for random matrices with symmetries or correlations

Schulz-Baldes H, Schenker J (2005)

Publication Type: Journal article

Publication year: 2005

Journal

Mathematical Research Letters International Press

Publisher: International Press

Book Volume: 12

Pages Range: 531-542

URI: http://de.arxiv.org/abs/math-ph/0505003

Abstract

For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.

Authors with CRIS profile

Hermann Schulz-Baldes Professur für Mathematik (Mathematische Physik)

Involved external institutions

Michigan State University US United States (USA) (US)

How to cite

APA:

Schulz-Baldes, H., & Schenker, J. (2005). Semicircle law and freeness for random matrices with symmetries or correlations. Mathematical Research Letters, 12, 531-542.

MLA:

Schulz-Baldes, Hermann, and Jeffrey Schenker. "Semicircle law and freeness for random matrices with symmetries or correlations." Mathematical Research Letters 12 (2005): 531-542.

BibTeX: Download