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From the reviews: "This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. [...] This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view." Mathematische Operationsforschung und Statistik
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"... Both the Markov-process approach and the Itô approach ... have been immensely successful in diffusion theory. The Stroock-Varadhan book, developed from the historic 1969 papers by its authors, presents the martingale-problem approach as a more powerful - and, in certain regards, more intrinsic-means of studying the foundations of the subject. [...] ... the authors make the uncompromising decision not "to proselytise by intimidating the reader with myriad examples demonstrating the full scope of the techniques", but rather to persuade the reader "with a careful treatment of just one problem to which they apply". [...] Most of the main tools of stochastic-processes theory are used, ..but it is the formidable combination of probability theory with analysis ... which is the core of the work. [...] I have emphasized the great importance of the Stroock-Varadhan book. It contains a lot more than I have indicated; in particular, its many exercises conain much interesting material.
For immediate confirmation of the subject’s sparkle, virtuosity, and depth, see ... McKean (‘s 1969 book). The Stroock-Varadhan book proceeds on its inexorable way like a massive Bach fugue. ... But old J.S. can e something of knockout if his themes get hold of you. And his influence on what followed was 8you may say) substantial."
David Williams in the Bulletin of the American Mathematical Society
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- PublisherSpringer
- Publication date2014
- ISBN 10 3662222019
- ISBN 13 9783662222010
- BindingPaperback
- Number of pages350
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Multidimensional Diffusion Processes
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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -From the reviews: 'This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. [.] This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view.' Mathematische Operationsforschung und Statistik 356 pp. Englisch. Seller Inventory # 9783662222010
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Book Description Condition: New. pp. 356. Seller Inventory # 26134244602
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Book Description Condition: New. Print on Demand pp. 356 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 142071589
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Multidimensional Diffusion Processes
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. This approach was initiated by Stroock and Varadhan in their famous papers. (.) The proofs and techniques are presented in such a way that an adaptation in other contexts can be easily done. (.) The reader must be familiar with standard probability theory and measure theory which are summarized at the beginning of the book. This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view.' Mathematische Operationsforschung und Statistik, 1981. Seller Inventory # 9783662222010
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Applies martingale theory to the theory of Markov processesPresents proofs and techniques in an easily adaptable styleIntroductory summaries of standard probability theory and measure theory review basic knowledge before launc. Seller Inventory # 5223269
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Book Description Paperback. Condition: Brand New. 2006 edition. 338 pages. 9.00x6.00x0.75 inches. In Stock. Seller Inventory # zk3662222019
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