Edge Universality for Orthogonal Ensembles of Random Matrices
classification
🧮 math-ph
math.MP
keywords
orthogonaledgeensemblesmatrixreproducinguniversalityanalyticcite
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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 \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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