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Bulk eigenvalue statistics for random regular graphs

dc.creatorBauerschmidt, Roland
dc.creatorHuang, Jiaoyang
dc.creatorKnowles, Antti
dc.creatorYau, Horng-Tzer
dc.date.accessioned2016-08-26
dc.date.accessioned2018-11-24T23:26:56Z
dc.date.available2016-10-20T12:28:03Z
dc.date.available2018-11-24T23:26:56Z
dc.date.issued2016
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/260846
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3915
dc.description.abstractWe consider the uniform random d-regular graph on N vertices, with d ∈ [N$^{\alpha}$,N$^{2/3−\alpha}$] for arbitrary α > 0. We prove that in the bulk of the spectrum the local eigenvalue correlation functions and the distribution of the gaps between consecutive eigenvalues coincide with those of the Gaussian Orthogonal Ensemble.
dc.languageen
dc.publisherInstitute of Mathematical Statistics
dc.publisherAnnals of Probability
dc.titleBulk eigenvalue statistics for random regular graphs
dc.typeArticle


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