Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 136, Issue 1, Pages 35-50Publisher
SPRINGER
DOI: 10.1007/s10955-009-9766-5
Keywords
Random matrices; Orthogonal ensembles; Universality
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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 Shcherbina (Commun. Math. Phys. 285, 957-974, 2009) 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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