Student Probability Seminar
The Gaussian Free Field
Speaker: Oren Louidor
Location: Warren Weaver Hall 202
Date: Friday, October 2, 2009, 3 p.m.
(from Sheffield's paper - GFF for Mathematicians) The d-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless free field, is a d-dimensional-time analog of Brownian motion. Just as Brownian motion is the limit of the simple random walk (when time and space are appropriately scaled), the GFF is the limit of many incrementally varying random functions on d-dimensional grids. We present an overview of the GFF and some of the properties that are useful in light of recent connections between the GFF and the Schramm-Loewner evolution.