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...

Full description

Bibliographic Details
Main Authors: Guionnet, Alice (Contributor), Wood, Philip Matchett (Author), Zeitouni, Ofer (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Mathematical Society (AMS), 2015-01-20T21:15:54Z.
Subjects:
Online Access:Get fulltext

Similar Items