Author: Xia Chen
Author info: Professor of Mathematics
Publication Date: January 2010
Publisher: American Mathematical Society
Synopsis: The material covered in this book involves important and non-trivial results in contemporary probability theory motivated by polymer models, as well as other topics of importance in physics and chemistry. The development carefully provides the basic definitions of mutual intersection and self-intersection local times for Brownian motions and the accompanying large deviation results. The book then proceeds to the analogues of these concepts and results for random walks on lattices of Rd. This includes suitable integrability and large deviation results for these models and some applications.