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dc.contributor.authorGuionnet, Alice
dc.contributor.authorWood, Philip Matchett
dc.contributor.authorZeitouni, Ofer
dc.date.accessioned2015-01-20T21:15:54Z
dc.date.available2015-01-20T21:15:54Z
dc.date.issued2013-10
dc.date.submitted2012-03
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.urihttp://hdl.handle.net/1721.1/93086
dc.description.abstractWe discuss regularization by noise of the spectrum of large random non-normal matrices. Under suitable conditions, we show that the regularization of a sequence of matrices that converges in *-moments to a regular element a by the addition of a polynomially vanishing Gaussian Ginibre matrix forces the empirical measure of eigenvalues to converge to the Brown measure of a.en_US
dc.description.sponsorshipFrance. Agence nationale de la recherche (Project ANR-08-BLAN-0311-01)en_US
dc.language.isoen_US
dc.publisherAmerican Mathematical Society (AMS)en_US
dc.relation.isversionofhttp://www.ams.org/journals/proc/2014-142-02/S0002-9939-2013-11761-2/en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceAmerican Mathematical Societyen_US
dc.titleConvergence of the spectral measure of non-normal matricesen_US
dc.typeArticleen_US
dc.identifier.citationGuionnet, Alice, Philip Matchett Wood, and Ofer Zeitouni. "Convergence of the spectral measure of non-normal matrices." Proc. Amer. Math. Soc. 142 (2014), 667-679. © 2013 American Mathematical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorGuionnet, Aliceen_US
dc.relation.journalProceedings of the American Mathematical Societyen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/ConferencePaperen_US
eprint.statushttp://purl.org/eprint/status/NonPeerRevieweden_US
dspace.orderedauthorsGuionnet, Alice; Wood, Philip Matchett; Zeitouni, Oferen_US
dc.identifier.orcidhttps://orcid.org/0000-0003-4524-8627
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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