Universality Limits for Random Matrices and de Branges Spaces of Entire Functions

Analysis Seminar
Monday, April 13, 2009 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 255
Doron Lubinsky – School of Mathematics, Georgia Tech
Plamen Iliev
It turns out that the sinc kernel is not the only kernel that arises as a universality limit coming from random matrices associated with measures with compact support. Any reproducing kernel for a de Branges space that is equivalent to a Paley-Winer space may arise. We discuss this and some other results involving de Branges spaces, universality, and orthogonal polynomials.