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Moments of Characteristic Polynomials and Integrability

[HYBRID WORKSHOP] Connections and Introductory Workshop: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems, Part 1 August 23, 2021 - August 27, 2021

August 24, 2021 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Jon Keating (University of Oxford)
Location: SLMath: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Moments Of Characteristic Polynomials And Integrability

Abstract

I will discuss the moments of characteristic polynomials and their derivatives in the context of integrability. Specifically, I will discuss formulae for the moments of the characteristic polynomials of GUE random matrices, and formulae for the joint moments of the characteristic polynomials of CUE random matrices and their derivatives.

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91592?type=thumb Jon Keating 363 KB application/pdf Download
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Moments Of Characteristic Polynomials And Integrability

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