Ofer Zeitouni
Title
Random directed polymers: logarithmc and log-log correlated fields
Abstract
directed polymers are a model of statistical mechanics models for random paths. Their partition function can be viewed as a Gaussian multiplicative chaos, indexed by paths. I will introduce the model, focusing on the critical two dimensional case. I will explain how logarithmically correlated fields emerge in the study of polymers' partition functions, and how the techniques introduced in the first two lectures apply here.
