Joint moments of the characteristic polynomial of a random unitary matrix

Theodoros Assiotis (University of Oxford)

05-Jun-2020, 13:30-14:30 (6 years ago)

Abstract: I will speak about the joint moments of the characteristic polynomial of a random unitary matrix and its derivative. In joint work with Jon Keating and Jon Warren, by developing a connection with the Hua-Pickrell measures and using a probabilistic approach, we establish these asymptotics for general real values of the exponents which proves a conjecture from the thesis of Hughes from 2001.

mathematical physicsprobability

Audience: researchers in the topic


Séminaire MEGA

Series comments: Description: Monthly seminar on random matrices and random graphs

Organizers: Guillaume Barraquand*, Laure Dumaz
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