On the edge universality of the local eigenvalue statistics of matrix models

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dc.creatorPastur, L.
dc.creatorShcherbina, M.
dc.date2003-11-29
dc.date.accessioned2026-07-07T04:30:46Z
dc.date.available2026-07-07T04:30:46Z
dc.descriptionBasing on our recent results on the $1/n$-expansion in unitary invariant random matrix ensembles, known as matrix models, we prove that the local eigenvalue statistic, arising in a certain neighborhood of the edges of the support of the Density of States, is independent of the form of the potential, determining the matrix model. Our proof is applicable to the case of real analytic potentials and of supports, consisting of one or two disjoint intervals.
dc.description19 pages, Latex
dc.identifierhttps://arxiv.org/abs/math-ph/0312001
dc.identifierhttp://arxiv.org/abs/math-ph/0312001
dc.identifierMat.Fiz.Anal.Geom. 10 (2003) 335-365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57582
dc.subjectMathematical Physics
dc.titleOn the edge universality of the local eigenvalue statistics of matrix models
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