Convergence of the spectral measure of non-normal matrices
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Guionnet_Convergence of.pdf
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Author(s)
Guionnet, Alice
Wood, Philip Matchett
Zeitouni, Ofer
Date Issued
October 2013
Journal
Proceedings of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
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
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
http://www.ams.org/journals/proc/2014-142-02/S0002-9939-2013-11761-2/
