Towards universality for Gibbsian line ensembles

Abstract: Gibbsian line ensembles are natural objects that arise in statistical mechanics models of random tilings, directed polymers, random plane partitions and avoiding random walks. In this talk I will discuss a general framework for establishing universal KPZ scaling limits for sequences of Gibbsian line ensembles. This framework is still being developed and I will explain some of the recent progress that has been made towards carrying it our for two integrable models of random Hall-Littlewood plane partitions and log-gamma polymers.

mathematical physicsprobability

Audience: researchers in the topic

Probability and the City Seminar

Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.

Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .