Talk
Extremes for the two dimensional Liouville model
- Ofer Zeitouni (Weizmann Institute of Science)
Abstract
We establish a strong coupling between the Liouville model and the Gaussian free field on the two dimensional torus, which bounds the difference of the two fields uniformly by a random constant. As an application we show that the maximum of the Liouville field converges in distribution to a randomly shifted Gumbel distribution.
Joint work with Michael Hofstteter