Convergence of the spectral measure of non-normal matrices

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 t...

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Bibliographic Details
Main Authors: Guionnet, Alice, Wood, Philip Matchett, Zeitouni, Ofer
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society (AMS) 2015
Online Access:http://hdl.handle.net/1721.1/93086
https://orcid.org/0000-0003-4524-8627