Fisher-Hartwig asymptotics and log-correlated fields in random matrix theory by Forkel, J

“…</p> <p>In Chapter 5, based on joint work with Isao Sauzedde [FS22], we establish convergence in Sobolev spaces, of the logarithm of the characteristic polynomial of unitary Brownian motion to the Gaussian free field on the cylinder, thus proving the dynamical analogue of the classical stationary result by Hughes, Keating and O’Connell [HKO01].…”