EVENT DETAILS AND ABSTRACT

Title: Scaling limit for Glauber dynamics on the discrete Gaussian free field at low temperatures
Speaker: Julian Gold
Speaker Info: UCLA
Brief Description:
Special Note:
Abstract:

We study a continuous time random walk on a large two-dimensional torus driven by the discrete Gaussian free field with zero boundary conditions. The walk waits for an exponential amount of time with mean $\exp(\beta h_x)$ at a given vertex $x$, where $\beta$ is an inverse temperature parameter. We show the scaling limit of these processes at low temperatures is a degenerate process called a $K$ process. The degeneracy arises from the walk becoming trapped near local maxima of the field. This is joint work with Aser Cortines and Oren Louidor.