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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

BULK UNIVERSALITY FOR DEFORMED WIGNER MATRICES

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dc.contributor.authorLee, JiOonko
dc.contributor.authorSchnelli, Kevinko
dc.contributor.authorStetler, Benko
dc.contributor.authorYau, Horng-Tzerko
dc.date.accessioned2016-07-06T04:20:27Z-
dc.date.available2016-07-06T04:20:27Z-
dc.date.created2016-06-13-
dc.date.created2016-06-13-
dc.date.issued2016-05-
dc.identifier.citationANNALS OF PROBABILITY, v.44, no.3, pp.2349 - 2425-
dc.identifier.issn0091-1798-
dc.identifier.urihttp://hdl.handle.net/10203/209493-
dc.description.abstractWe consider N x N random matrices of the form H = W + V where W is a real symmetric or complex Hermitian Wigner matrix and V is a random or deterministic, real, diagonal matrix whose entries are independent of W. We assume subexponential decay for the matrix entries of W, and we choose V so that the eigenvalues of W and V are typically of the same order. For a large class of diagonal matrices V, we show that the local statistics in the bulk of the spectrum are universal in the limit of large N-
dc.languageEnglish-
dc.publisherINST MATHEMATICAL STATISTICS-
dc.subjectGAUSSIAN RANDOM MATRICES-
dc.subjectLARGE-N LIMIT-
dc.subjectLOCAL EIGENVALUE STATISTICS-
dc.subjectDENSITY-OF-STATES-
dc.subjectEXTERNAL SOURCE-
dc.subjectORTHOGONAL POLYNOMIALS-
dc.subjectSEMICIRCLE LAW-
dc.subjectEXPONENTIAL WEIGHTS-
dc.subjectFREE PROBABILITY-
dc.subjectBETA-ENSEMBLES-
dc.titleBULK UNIVERSALITY FOR DEFORMED WIGNER MATRICES-
dc.typeArticle-
dc.identifier.wosid000376180700016-
dc.identifier.scopusid2-s2.0-84971329259-
dc.type.rimsART-
dc.citation.volume44-
dc.citation.issue3-
dc.citation.beginningpage2349-
dc.citation.endingpage2425-
dc.citation.publicationnameANNALS OF PROBABILITY-
dc.identifier.doi10.1214/15-AOP1023-
dc.contributor.localauthorLee, JiOon-
dc.contributor.nonIdAuthorSchnelli, Kevin-
dc.contributor.nonIdAuthorStetler, Ben-
dc.contributor.nonIdAuthorYau, Horng-Tzer-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorRandom matrix-
dc.subject.keywordAuthorlocal semicircle law-
dc.subject.keywordAuthoruniversality-
dc.subject.keywordPlusGAUSSIAN RANDOM MATRICES-
dc.subject.keywordPlusLARGE-N LIMIT-
dc.subject.keywordPlusLOCAL EIGENVALUE STATISTICS-
dc.subject.keywordPlusDENSITY-OF-STATES-
dc.subject.keywordPlusEXTERNAL SOURCE-
dc.subject.keywordPlusORTHOGONAL POLYNOMIALS-
dc.subject.keywordPlusSEMICIRCLE LAW-
dc.subject.keywordPlusEXPONENTIAL WEIGHTS-
dc.subject.keywordPlusFREE PROBABILITY-
dc.subject.keywordPlusBETA-ENSEMBLES-
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