Benjamin Fahs: Uniform asymptotics of Toeplitz determinants with Fisher-Hartwig singularities
Tid: Ti 2019-09-17 kl 15.15 - 16.15
Föreläsare: Benjamin Fahs, Imperial College London
Plats: F11, KTH
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.