|ANALYSIS AND MATHEMATICAL PHYSICS|
|Topic:||A New Approach to Universality Limits Involving Orthogonal Polynomials|
|Affiliation:||Georgia Institute of Technology|
|Date:||Monday, November 20|
|Time/Room:||1:30pm - 2:30pm/S-101|
We present a new approach to some of the universality limits that arise in orthogonal polynomials. For example, we show that if w is a fixed weight positive a.e. in [-1,1], and w satisfies a Dini condition in some subinterval of (-1,1), then there is the uniform universality limit in that subinterval. If we assume no smoothness, but only that w is bounded below in some subinterval, then the universality limit holds in an L1 sense.