Seminar Event Detail

Integrable Systems and Random Matrix Theory

Date:  Monday, October 25, 2021
Location:  ZOOM ID: 926 6491 9790 Virtual (4:00 PM to 5:00 PM)

Title:  Universality Limits for Orthogonal Polynomials

Abstract:   We will consider the scaling limits of polynomial reproducing kernels for measures on the real line. For many years there has been considerable research to find the weakest assumptions that one can place on a measure that allows one to prove that these rescaled kernels converge to the sinc kernel. Our main result will provide the weakest conditions that have yet been found. In particular, it will demonstrate that one only needs local conditions on the measure. We will also settle a conjecture of Avila, Last, and Simon by showing that convergence holds at almost every point in the essential support of the absolutely continuous part of the measure.

A recording of the talk can be found here.


Speaker:  Brian Simanek
Institution:  Baylor University

Event Organizer:   Ahmad Barhoumi


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