Potential theory and certain aspects of probability theory are intimately related, perhaps most obviously in that the transition function determining a Markov process can be used to define the Green function of a potential theory. Thus it is possible to define and develop many potential theoretic concepts probabilistically, a procedure potential theorists observe withjaun diced eyes in view of the fact that now as in the past their subject provides the motivation for much of Markov process theory. However that may be it is ...
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Potential theory and certain aspects of probability theory are intimately related, perhaps most obviously in that the transition function determining a Markov process can be used to define the Green function of a potential theory. Thus it is possible to define and develop many potential theoretic concepts probabilistically, a procedure potential theorists observe withjaun diced eyes in view of the fact that now as in the past their subject provides the motivation for much of Markov process theory. However that may be it is clear that certain concepts in potential theory correspond closely to concepts in probability theory, specifically to concepts in martingale theory. For example, superharmonic functions correspond to supermartingales. More specifically: the Fatou type boundary limit theorems in potential theory correspond to supermartingale convergence theorems; the limit properties of monotone sequences of superharmonic functions correspond surprisingly closely to limit properties of monotone sequences of super martingales; certain positive superharmonic functions [supermartingales] are called "potentials," have associated measures in their respective theories and are subject to domination principles (inequalities) involving the supports of those measures; in each theory there is a reduction operation whose properties are the same in the two theories and these reductions induce sweeping (balayage) of the measures associated with potentials, and so on."
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Add this copy of Classical Potential Theory and Its Probabilistic to cart. $51.97, very good condition, Sold by ThriftBooks-Dallas rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2001 by Springer.
Add this copy of Classical Potential Theory and Its Probabilistic to cart. $52.00, very good condition, Sold by Lavendier Books rated 5.0 out of 5 stars, ships from Foster, RI, UNITED STATES, published 2001 by Springer.
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Very Good. Size: 6x1x9; Springer Verlag; Berlin, 2001. Trade paperback. Reprint of the 1984 Edition. A Very Good, binding sturdy and intact, some handling/scuff marks to covers, bit of cover edge/corner wear, few scuff and smudge marks to text block edges, soiled spot top title page and top frontispiece crease top corner page 223/224, a nice, overall clean and unmarked copy in wraps. 8vo[octavo or approx. 6 x 9], 846pp., bibliography, indexed. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.
Add this copy of Classical Potential Theory and Its Probabilistic to cart. $52.37, good condition, Sold by Phatpocket Limited rated 4.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 2001 by Springer.
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Good. Name stamped on fore edge part of book. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Shows some signs of wear but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Add this copy of Classical Potential Theory and It Probabilistic to cart. $54.00, very good condition, Sold by Windows Booksellers rated 4.0 out of 5 stars, ships from Eugene, OR, UNITED STATES, published 2001 by Springer.
Add this copy of Classical Potential Theory and Its Probabilistic to cart. $56.97, new condition, Sold by Aideo Textbook rated 4.0 out of 5 stars, ships from Arcadia, CA, UNITED STATES, published 1984 by Springer.
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New in new dust jacket. Glued binding. Cloth over boards. 846 p. Contains: Illustrations. Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover), 262. Audience: General/trade. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
