Multidimensional Stochastic Processes as Rough Paths

Language: English

Published by Cambridge University Press, GB, 2010

0521876079 / 9780521876070

Series: Book 54 of 151 - Cambridge Studies in Advanced Mathematics

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Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differential equations. Key theorems of modern stochastic analysis (existence and limit theorems for stochastic flows, Freidlin-Wentzell theory, the Stroock-Varadhan support description) can be obtained with dramatic simplifications. Classical approximation results and their limitations (Wong-Zakai, McShane's counterexample) receive 'obvious' rough path explanations. Evidence is building that rough paths will play an important role in the future analysis of stochastic partial differential equations and the authors include some first results in this direction. They also emphasize interactions with other parts of mathematics, including Caratheodory geometry, Dirichlet forms and Malliavin calculus. Based on successful courses at the graduate level, this up-to-date introduction presents the theory of rough paths and its applications to stochastic analysis. Examples, explanations and exercises make the book accessible to graduate students and researchers from a variety of fields.…

Seller Inventory # LU-9780521876070

Title
Multidimensional Stochastic Processes as Rough Paths
Author
Peter K. Friz, Nicolas B. Victoir
Publisher
Cambridge University Press, GB
Publication year
2010
Condition
New
Binding
Hardback
Language
English
ISBN 10
0521876079
ISBN 13
9780521876070
Item weight
1,600 grams
Series
Book 54 of 151: Cambridge Studies in Advanced Mathematics

Rarewaves.com USA

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