Multidimensional Stochastic Processes As Rough Paths: Theory and Applications

Friz, Peter K./ Victoir, Nicolas B.

ISBN 10: 0521876079 / ISBN 13: 9780521876070

Published by Cambridge Univ Pr, 2010

About this Item

1st edition. 675 pages. 9.25x6.25x1.75 inches. In Stock.

Seller Inventory # x-0521876079

Bibliographic Details

• Title: Multidimensional Stochastic Processes As Rough Paths: Theory and Applications
• Publisher: Cambridge Univ Pr
• Publication Date: 2010
• Language: English
• ISBN 10: 0521876079
• ISBN 13: 9780521876070
• Binding: Hardcover
• Condition: Brand New
• Weight: 1.6 kilograms

About this title

Synopsis

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.

About the Authors

Peter K. Friz is a Reader in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge. He is also a Research Group Leader at the Johann Radon Institute at the Austrian Academy of Sciences, Linz.

Nicolas B. Victoir works in quantitative research at JPMorgan in Hong Kong.