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Multidimensional Stochastic Processes as Rough Paths

Theory and Applications

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Multidimensional Stochastic Processes as Rough Paths Peter K Friz
Libristo kod: 04379057
Nakladnici Cambridge University Press, veljača 2010
Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differentia... Cijeli opis
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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.

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Informacije o knjizi

Puni naziv Multidimensional Stochastic Processes as Rough Paths
Autor Peter K Friz
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 2010
Broj stranica 670
EAN 9780521876070
ISBN 0521876079
Libristo kod 04379057
Težina 1062
Dimenzije 235 x 160 x 39
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