This article is cited in 1 paper

On the Gaussian Random Matrix Ensembles with Additional Symmetry Conditions

Vladimir Vasilchuk

B. Verkin Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., Kharkiv, 61103 Ukraine

Abstract: The Gaussian unitary random matrix ensembles satisfying some additional symmetry conditions are considered. The effect of these conditions on the limiting normalized counting measures and correlation functions is studied.

Keywords: random matrices; Gaussian unitary ensemble.

MSC: 15A52; 60A10; 82B41

Received: October 31, 2005; in final form January 6, 2006; Published online January 21, 2006

Language: English

DOI: 10.3842/SIGMA.2006.007

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ArXiv: math-ph/0601042