Title: Branching random walks, characteristic polynomials, and zeta: log-correlation, moments, and extrema.
Speaker: Emma Bailey
Speaker Info: University of Bristol
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Abstract:
In this talk I will introduce three log-correlated processes and present results on their moments (and moments of moments), and how these relate to their extremes. This study features connections with integrable systems (in particular Toeplitz and Hankel determinants), RH problems, the Fyodorov-Hiary-Keating conjectures, Painlev\'e equations, Young diagrams and Gelfand-Tsetlin patterns, large deviations and more.Date: Wednesday, April 07, 2021This talk will include work joint with Louis-Pierre Arguin, Theo Assiotis, Jon Keating.