Universality Limits for Random Matrices and orthogonal Polynomials

Series: 
Research Horizons Seminar
Wednesday, September 1, 2010 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 114
,  
School of Mathematics - Georgia Tech
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.