Spring 2025
Time & Location: All talks are on Wednesday in different places, at 3:00 PM .
Organizer: Katerina Gkogkou and Ken McLaughlin
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
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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