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Diffusions, Markov Processes and Martingales. Foundations

D. Williams

Now available in paperback, this celebrated book remains a key systematic guide to a large part of the modern theory of Probability. The authors not only present the subject of Brownian motion as a dry part of mathematical analysis, but convey its real meaning and fascination. The opening, heuristic chapter does just this, and it is followed by a comprehensive and self-contained account of the foundations of theory of stochastic processes. Chapter 3 is a lively presentation of the theory of Markov processes. Together with its companion volume, this book equips graduate students for research into a subject of great intrinsic interest and wide applications.

GenresMarkov processesMartingales (Mathematics)Stochastic processesMartingales

237 pages

English edition · First published 1979 by Wiley · ISBN 9780471997054

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