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Exact Formulas for Averages of Secular Coefficients

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Date

2021-09-29

Authors

Medjedovic, Andean

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Publisher

University of Waterloo

Abstract

We study averages of secular coefficients that frequently appear in random matrix theory. We obtain exact formulas, identities and new asymptotics for these integrals as well as a technique to deal with singularities that classically occur in the study of these problems.

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Keywords

Number Theory, Random Matrix Theory

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