EVENT DETAILS AND ABSTRACT

Title: Complex Gaussian Fields and (Brownian Motion and Random Walk) Loop Soups I
Speaker: Greg Lawler
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

There has been a lot of work relating Gaussian fields and their squares with random walks and Brownian motion. Among the tools are the Brownian and random walk loop soups. I will give an introduction from the perspective of discrete time loop measures and describe an improvement of a result of Trujillo Ferreras and myself on the convergence of random walk loops to Brownian loops. This is related to the convergence of the square of a discrete Gaussian field to the square of the continuous field. This is joint work with Peter Panov.