Seminar

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