Central limit theorem for linear eigenvalue statistics of orthogonally invariant matrix models

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We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of random matrices with one interval limiting spectrum. We consider ensembles with real analytic potentials and test functions with two bounded derivatives.
19 pages

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Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/141923

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1718
 http://arxiv.org/abs/0711.1718

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arXiv