Markov processes, Gaussian processes and local times

	Author(s):	Michael B. Marcus, Jay Rosen
	Collection:	Cambridge Studies in Advanced Mathematics
	Publisher:	Cambridge University Press
	Year:	2006
	Language:	English
	Pages:	629 pages
	Size:	2.58 MB
	Extension:	PDF

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[content title="Description"]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.
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[content title="About the author"]Michael B. Marcus is a mathematician . [/content]

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