Markov Processes, Gaussian Processes, and Local Times (Hardcover) (ISBN-13: 9780521863001)

Written by two foremost researchers in the field, this book studies the local times of Markov processes by employing isomorphism theorems that relate them to certain associated Gaussian processes. It builds to this material through self-contained but harmonized 'mini-courses' on the relevant ingredients, which assume only knowledge of measure-theoretic probability. The streamlined selection of topics creates an easy entrance for students and for experts in related fields. The book starts by developing the fundamentals of Markov process theory and then of Gaussian process theory, including sample path properties. It then proceeds to more advanced results, bringing the reader to the heart of contemporary research. It presents the remarkable isomorphism theorems of Dynkin and Eisenbaum, then shows how they can be applied to obtain new properties of Markov processes by using well-established techniques in Gaussian process theory. This original, readable book will appeal to both researchers and advanced graduate students.

Author: Michael B. Marcus, Jay Rosen
ISBN-10: 0521863007
ISBN-13: 9780521863001
Publisher: Cambridge University Press
Language: English
Published: 07/24/2006
Pages: 632
Format: Hardcover
Weight: 2.11lbs
Size: 9.10h x 6.32w x 1.52d