Benjamin Fahs: Uniform asymptotics of Toeplitz determinants with Fisher-Hartwig singularities

Time: Tue 2019-09-17 15.15 - 16.15

Lecturer: Benjamin Fahs, Imperial College London

Location: F11, KTH

Abstract

We discuss asymptotics of Toeplitz determinants with Fisher-Hartwig singularities, with emphasis on asymptotics which are uniform with respect to the location of the singularities. These are used to prove a conjecture by Fyodorov and Keating concerning the asymptotics of moments of certain averages of the characteristic polynomial of the CUE.

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Last changed: Sep 12, 2019