Probability and Mathematical Physics Seminar

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The maximum of log-correlated Gaussian fields in random environments

Speaker: Florian Schweiger, Weizmann Institute of Science

Location: Warren Weaver Hall 1302

Date: Friday, November 4, 2022, 12:10 p.m.

Synopsis:

In recent years there has been a lot of progress in studying the extrema of logarithmically correlated random fields. In the talk I will review some of the results in the area, and then discuss an extension to log-correlated Gaussian fields in an environment that is itself random. One key example is the two-dimensional Gaussian free field on a supercritical bond percolation cluster. In order to study such models, one needs to combine tools from quantitative stochastic homogenization and classical probabilistic estimates for branching structures.

Based on joint work with Ofer Zeitouni.