Markov Processes, Brownian Motion, and Time Symmetry

Author:   Kai Lai Chung ,  John B. Walsh
Publisher:   Springer-Verlag New York Inc.
Edition:   Second Edition 2005
Volume:   249
ISBN:  

9781441919601


Pages:   432
Publication Date:   19 November 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Markov Processes, Brownian Motion, and Time Symmetry


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Author:   Kai Lai Chung ,  John B. Walsh
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Second Edition 2005
Volume:   249
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.676kg
ISBN:  

9781441919601


ISBN 10:   1441919600
Pages:   432
Publication Date:   19 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Markov Process.- Basic Properties.- Hunt Process.- Brownian Motion.- Potential Developments.- Generalities.- Markov Chains: a Fireside Chat.- Ray Processes.- Application to Markov Chains.- Time Reversal.- h-Transforms.- Death and Transfiguration: A Fireside Chat.- Processes in Duality.- The Martin Boundary.- The Basis of Duality: A Fireside Chat.

Reviews

Aus den Rezensionen zur 2. Auflage: ... Der erste Teil geht auf Vorlesungsnotizen von Chung ! Hauptziel ! ist eine Darstellung der wichtigsten Aspekte der Theorie der Markovprozesse ! mit besonderem Augenmerk auf die Brownsche Bewegung. ! der zweite Teil ! ist eigentlich ein unabhangiges Buch, welches dem Text von Chung einen allgemeineren Rahmen nachstellt, der neuere Entwicklungen berucksichtigt und die Basis verbreitert. ... Hier ist insbesondere die klare Einfuhrung in die Ray-Prozesse hervorzuheben. ! Hier haben wir also zwei Bucher in einem, die anspruchsvolles Material fur interessierte Leser in hervorragend zuganglicher Weise darstellen. (Wolfgang Woess, in: Internationale Mathematische Nachrichten, 2008, Vol. 62, Issue 209, S. 63 f.)


From the reviews of the First Edition: This excellent book is based on several sets of lecture notes written over a decade and has its origin in a one-semester course given by the author at the ETH, Zurich, in the spring of 1970. The author's aim was to present some of the best features of Markov processes and, in particular, of Brownian motion with a minimum of prerequisites and technicalities. The reader who becomes acquainted with the volume cannot but agree with the reviewer that the author was very successful in accomplishing this goal...The volume is very useful for people who wish to learn Markov processes but it seems to the reviewer that it is also of great interest to specialists in this area who could derive much stimulus from it. One can be convinced that it will receive wide circulation. H.J. Engelbert, MathSciNet From the reviews of the second edition: This monograph is a considerably extended second edition of K.L. Chung's classic 'Lectures from Markov processes to Brownian motion' ... . Adding to Chung's masterpiece is a formidable task; the new chapters by Walsh capture the spirit of the original and give a gentle, inspiring and eminently useful introduction to Ray processes, time reversal and duality. (Rene L. Schilling, Zentralblatt MATH, Vol. 1082, 2006) The volume under review is the union of two distinct, albeit complementary, works. ... there are a number of interesting examples in the more familiar world of Markov chains which the reader can use to gain insight into the new ideas. ... If I were asked to recommend a book to beginners who wished to immerse themselves in the subject and emerge in a fit state to tackle the contemporary literature, then I would choose this volume without hesitation. (David Applebaum, The Mathematical Gazette, Vol. 92 (523), 2008)


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