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Multidimensional Stochastic Processes as Rough Paths: Theory and Applications

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Multidimensional Stochastic Processes as Rough Paths: Theory and Applications - Friz, Peter K., and Victoir, Nicolas B.
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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 ...

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Multidimensional Stochastic Processes as Rough Paths: Theory and Applications 2010, Cambridge University Press, Cambridge

ISBN-13: 9780521876070

Hardcover