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David Belius: Branching in log-correlated random fields

Time: Tue 2015-08-25 15.15

Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

Participating: David Belius, Courant Institute, New York

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This talk will discuss how log-correlated random fields show up in diverse settings, including the study of cover times and random matrix theory. This is explained by the presence of an underlying approximate branching structure in each of the models. I will describe the most basic model of this class, namely Branching Brownian Motion (BBM), where the branching structure is explicit, and explain how to adapt ideas developed in the context of BBM to models where the branching structure is not immediately obvious.