| dc.contributor.author | Guionnet, Alice | |
| dc.contributor.author | Wood, Philip Matchett | |
| dc.contributor.author | Zeitouni, Ofer | |
| dc.date.accessioned | 2015-01-20T21:15:54Z | |
| dc.date.available | 2015-01-20T21:15:54Z | |
| dc.date.issued | 2013-10 | |
| dc.date.submitted | 2012-03 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/93086 | |
| dc.description.abstract | We 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.sponsorship | France. Agence nationale de la recherche (Project ANR-08-BLAN-0311-01) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | American Mathematical Society (AMS) | en_US |
| dc.relation.isversionof | http://www.ams.org/journals/proc/2014-142-02/S0002-9939-2013-11761-2/ | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | American Mathematical Society | en_US |
| dc.title | Convergence of the spectral measure of non-normal matrices | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Guionnet, 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 Society | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Guionnet, Alice | en_US |
| dc.relation.journal | Proceedings of the American Mathematical Society | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/ConferencePaper | en_US |
| eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
| dspace.orderedauthors | Guionnet, Alice; Wood, Philip Matchett; Zeitouni, Ofer | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0003-4524-8627 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |