Speaker: Mo Dick Wong

Title: Tail universality of critical Gaussian multiplicative chaos

Abstract: Gaussian multiplicative chaos (GMC) is a one-parameter family of random measures formally defined as the exponentiation of log-correlated Gaussian fields, and it has attracted a lot of attention in recent years due to its appearance in e.g. Liouville conformal field theory and random matrix theory. Motivated by the study of extremal process of log-correlated fields in the discrete literature, we consider GMC measures at criticality and establish an asymptotic power law profile for the (right) tail probability under mild assumptions. The leading order coefficient of the tail asymptotics is fully explicit and does not depend on any local variation of the underlying field, demonstrating a new universality phenomenon.