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Multidimensional Stochastic Processes as Rough Paths

Name: Multidimensional Stochastic Processes as Rough Paths
Brand: Cambridge University Press
SKU: 04379057
Price: 123.63 EUR
Availability: InStock
Author: Peter K Friz
ISBN: 9780521876070

Theory and Applications

Peter K Friz

Jazyk

Angličtina

Kniha Pevná

Libristo kód: 04379057

Nakladateľstvo Cambridge University Press, február 2010

Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differentia... Celý popis

Libristo kód: 04379057

299 b

123.63 €

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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.