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arxiv: 0812.3228 · v1 · pith:3BLK2G5Anew · submitted 2008-12-17 · 🧮 math-ph · math.MP

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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