
Preface  Preview Material  Table of Contents  Supplementary Material 
Mathematical Surveys and Monographs 2010; 332 pp; hardcover Volume: 157 ISBN10: 0821848208 ISBN13: 9780821848203 List Price: US$95 Member Price: US$76 Order Code: SURV/157 See also: Large Deviations for Stochastic Processes  Jin Feng and Thomas G Kurtz Large Deviations  Frank den Hollander Stochastic Processes  S R S Varadhan  The material covered in this book involves important and nontrivial 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 selfintersection 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 \(R^d\). This includes suitable integrability and large deviation results for these models and some applications. Moreover, the notes and comments at the end of the chapters provide interesting remarks and references to various related results, as well as a good number of exercises. The author provides a beautiful development of these subtle topics at a level accessible to advanced graduate students. Readership Graduate students and research mathematicians interested in probability and statistical physics. Reviews "[T]he author is a leading expert who has made crucial contributions. ...This book covers a fascinating topic of current interest, collecting in one place and in a systematic way results that are scattered in the literature. Chen attempts to make the text essentially selfcontained, and develops along the way the necessary tools. The book can be rather demanding in places but the motivated reader will draw many benefits from following the development."  Ofer Zeitouni, Mathematical Reviews 


AMS Home 
Comments: webmaster@ams.org © Copyright 2014, American Mathematical Society Privacy Statement 