Edge Universality for Orthogonal Ensembles of Random Matrices |
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Authors: | M Shcherbina |
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Institution: | (1) Institute for Low Temperature Physics, 47 Lenin ave., Kharkov, Ukraine |
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Abstract: | 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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Keywords: | Random matrices Orthogonal ensembles Universality |
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