Random walk intersections
Subtitle: large deviations and related topics
By: Xia Chen
Series: Mathematical surveys and monographs -- v. 157; Mathematical surveys and monographs -- no. 157.
Publisher: American Mathematical Society
Published: 2010
Place of publication: Providence, R.I
Language: eng
Number of pages: 332
ISBN-13: 9780821848203
Description: "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 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 R[superscript 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."--Jacket.
Notes: Includes bibliographical references and index.