Книга Multidimensional Stochastic Processes as Rough Paths Peter K Friz

Multidimensional Stochastic Processes as Rough Paths

Theory and Applications

Автор: Peter K Friz
Език: Английски език
Корици: С твърди корици
Издател: Cambridge University Press
Наличност: Външен склад
Изпращаме след 9-15 дни
125.65 245.75 лв
Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differentia...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С твърди корици
Издадена
2010
страници
670
EAN
9780521876070
ISBN
0521876079
Enbook ID
04379057
Теглоt
1062
Размери
235 x 160 x 39

Пълно описание

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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