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OverviewFull Product DetailsAuthor: Daniel Revuz , Marc YorPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of hardcover 3rd ed. 1999 Volume: 293 Dimensions: Width: 15.50cm , Height: 3.10cm , Length: 23.50cm Weight: 0.943kg ISBN: 9783642084003ISBN 10: 3642084001 Pages: 602 Publication Date: 01 December 2010 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of Contents0. Preliminaries.- I. Introduction.- II. Martingales.- III. Markov Processes.- IV. Stochastic Integration.- V. Representation of Martingales.- VI. Local Times.- VII. Generators and Time Reversal.- VIII. Girsanov’s Theorem and First Applications.- IX. Stochastic Differential Equations.- X. Additive Functionals of Brownian Motion.- XI. Bessel Processes and Ray-Knight Theorems.- XII. Excursions.- XIII. Limit Theorems in Distribution.- §1. Gronwall’s Lemma.- §2. Distributions.- §3. Convex Functions.- §4. Hausdorff Measures and Dimension.- §5. Ergodic Theory.- §6. Probabilities on Function Spaces.- §7. Bessel Functions.- §8. Sturm-Liouville Equation.- Index of Notation.- Index of Terms.- Catalogue.ReviewsDieses Buch kann mit Recht als eines der zentralen Referenzwerke auf dem Gebiet der Brown'schen Bewegung und Fragestellungen, die damit in Zusammenhang stehen, gelten. Der Ruf der Autoren allein burgt schon dafur, und das Buch selbst besticht durch eine klare und konzise Darstellung, die von klassischen Resultaten im Stil von Paul Levy zu modernen Betrachtungsweisen fuhrt. Besondere Erwahnung verdienen die eingestreuten Aubungsaufgaben, die in idealer Weise die Prasentation der allgemeinen Theorie erganzen. Internationale Mathematische Nachrichten, Nr. 184, August 2000 Dieses Buch kann mit Recht als eines der zentralen Referenzwerke auf dem Gebiet der Brown'schen Bewegung und Fragestellungen, die damit in Zusammenhang stehen, gelten. Der Ruf der Autoren allein burgt schon dafur, und das Buch selbst besticht durch eine klare und konzise Darstellung, die von klassischen Resultaten im Stil von Paul Levy zu modernen Betrachtungsweisen fuhrt. Besondere Erwahnung verdienen die eingestreuten Aubungsaufgaben, die in idealer Weise die Prasentation der allgemeinen Theorie erganzen. Internationale Mathematische Nachrichten, Nr. 184, August 2000 "This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..."" Bull.L.M.S. 24, 4 (1992) From the reviews of the third edition: ""The authors have revised the second edition of their fundamental and impressive monograph on Brownian motion and continuous martingales … . The presentation of this book is unique in the sense that a concise and well-written text is complemented by a long series of detailed exercises. … This third edition contains some additional exercises related to recent advances in the subject. … is a valuable update of this basic reference book, which has been very helpful for researchers and students … ."" (David Nualart, Zentralblatt MATH, Vol. 1087, 2006)" Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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