# Mathematical Sciences Research Institute

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# Seminar

Support Convergence in the Single Ring Theorem October 27, 2010 (03:30 PM PDT - 04:30 PM PDT)
Parent Program: -- MSRI: Baker Board Room
Speaker(s) Ofer Zeitouni (University of Minnesota Twin Cities)
Description

Abstract: In recent work with A. Guionnet and M. Krishnapur, we showed how one can prove the Feinberg-Zee single ring theorem''  concerning the convergence of the empirical measure of eigenvalues for certain random (non-normal) matrices, to a measure supported on a single ring. In this talk, I will describe a strengthening of this result, in which we prove (under additional assumptions) the convergence of the support of the empirical measure to the support of the limit (that is, ruling the possibility of stray'' random variables).
Joint work with A. Guionnet

Video