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

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

2007-11-12

arxiv.org/abs/0711.1718v1

Physics

Mathematical Physics

19 pages

Scientific paper

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.

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