Probability Seminar

Title: Scaling limit for Glauber dynamics on the discrete Gaussian free field at low temperatures
Speaker: Julian Gold
Speaker Info: UCLA
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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.
Date: Tuesday, May 09, 2017
Time: 3:00PM
Where: Lunt 105
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