Universality Limits for Random Matrices and orthogonal Polynomials

Series
Research Horizons Seminar
Time
Wednesday, September 1, 2010 - 12:00pm for 1 hour (actually 50 minutes)
Location
Skiles 114
Speaker
Doron Lubinsky – School of Mathematics - Georgia Tech – http://people.math.gatech.edu/~lubinsky/
Organizer
Ricardo Restrepo
Orthogonal Polynomials play a key role in analysis of random matrices. We discuss universality limits in the so-called unitary case, showing how the universality limit reduces to an asymptotic involving reproducing kernels associated with orthogonal polynomials. As a consequence, we show that universality holds in measure for any compactly supported measure.