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Diffusion Processes and their Sample Paths (Classics in Mathematics)
 
 
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Diffusion Processes and their Sample Paths (Classics in Mathematics) (Paperback)

by Kiyosi Itô (Author), Henry P. Jr. McKean (Author) "Consider a person walking in the integers according to the following rule: start at time n = 0 at s(0) = 0, 1, 2, ..." (more)
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Editorial Reviews
Review
"The systematic character of the exposision, which makes from the widely ramified subject matter of the extensive literature a clear, masterly arranged whole, is a particularly valuable feature of this monograph." (Publicationes Mathematicae)

Product Description
Since its first publication in 1965 in the series Grundlehren der mathematischen Wissenschaften this book has had a profound and enduring influence on research into the stochastic processes associated with diffusion phenomena. Generations of mathematicians have appreciated the clarity of the descriptions given of one- or more- dimensional diffusion processes and the mathematical insight provided into Brownian motion. Now, with its republication in the Classics in Mathematics it is hoped that a new generation will be able to enjoy the classic text of Itô and McKean.

See all Editorial Reviews

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Inside This Book (learn more)
First Sentence:
Consider a person walking in the integers according to the following rule: start at time n = 0 at s(0) = 0, 1, 2, . . . and flip a true coin; if tails comes up, step at time n = 1 to s(1) = s(0) - 1; if heads comes up, step to s (1) = s(0) + 1. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index |