Edge Universality for Orthogonal Ensembles of Random Matrices

Details Edge Universality for Orthogonal Ensembles of Random Matrices Edge Universality for Orthogonal Ensembles of Random Matrices

2008-12-17

arxiv.org/abs/0812.3228v1

Physics

Mathematical Physics

14 pages

Scientific paper

We prove edge universality of local eigenvalue statistics for orthogonal
invariant matrix models with real analytic potentials and one interval limiting
spectrum. Our starting point is the result of \cite{S:08} on the representation
of the reproducing matrix kernels of orthogonal ensembles in terms of scalar
reproducing kernel of corresponding unitary ensemble.

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