PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.

Title:Universality via the Dbar Steepest Descent Method
Seminar:GAP Seminar
Speaker:Peter Miller, University of Michigan
Abstract:
We will discuss a new method of asymptotic analysis of matrix-valued Riemann-Hilbert problems that involves dispensing with analyticity in favor of measured deviation therefrom. This method allows the large-degree analysis of orthogonal polynomials on the real line with respect to varying nonanalytic weights with external fields having two Lipschitz-continuous derivatives, as long as the corresponding equilibrium measure has typical support properties. Universality of local eigenvalue statistics of unitary-invariant ensembles in random matrix theory follows under the same conditions. This is joint work with Ken McLaughlin.

Room Reservation Information

Room Number:MB106
Date:02 / 17 / 2009
Time:02:30pm - 03:30pm