Research Seminar: Integrability and Beyond

Spring 2025

Time & Location: All talks are on Wednesday in different places,  at 3:00 PM .
Organizer: Katerina Gkogkou and Ken McLaughlin

Archives

 

 

January 27, 

Topic:  Random Matrices: Fredholm determinant representations for (a) spectral gaps, (b) largest eigenvalues, and (c) number statistics.
Ken McLaughlin - Tulane University

Abstract:  How to compute interesting statistical quantities in random matrices: Fredholm determinant representations for (a) spectral gaps, (b) largest eigenvalues, and (c) number statistics.

With the assistance of the whole group, this should be very introductory.

Speakers: to be determined, starting with Ken McLaughlin on January 27.

 

Location: Gibson Hall 310
Time: 3:00 PM

______________

 

February 3, 

Topic:  Random Matrices: Fredholm determinant representations for (a) spectral gaps, (b) largest eigenvalues, and (c) number statistics.
Ken McLaughlin - Tulane University

Abstract:  We will start calculating some basic number statistics for finite sized random matrices using Hermite polynomials, and compare to numerical experiments. In the second half, I will explain the connection between random matrices and Hermite polynomials.
 

Location: Gibson Hall 310
Time: 3:00 PM