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Edge Universality for Orthogonal Ensembles of Random Matrices

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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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  1. Institute for Low Temperature Physics, 47 Lenin ave., Kharkov, Ukraine

    M. Shcherbina

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  1. M. Shcherbina
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Correspondence to M. Shcherbina.

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Shcherbina, M. Edge Universality for Orthogonal Ensembles of Random Matrices. J Stat Phys 136, 35–50 (2009). https://doi.org/10.1007/s10955-009-9766-5

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  • DOI: https://doi.org/10.1007/s10955-009-9766-5

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