Mathematical Sciences Research Institute

Home » "Support Convergence in the Single Ring Theorem"


"Support Convergence in the Single Ring Theorem" October 27, 2010 (03:30 PM PDT - 04:30 PM PDT)
Parent Program: --
Location: MSRI: Baker Board Room
Speaker(s) Ofer Zeitouni (Weizmann Institute of Science)
Description Location: Bakerboard Room
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 our the possibility of ``stray'' random variables).
No Video Uploaded
Abstract/Media No Abstract No Notes/Supplements Uploaded No Video Files Uploaded