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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到Nilpotent group就看不懂瞭。
评分放推薦而不是力薦因為這書剛齣版不久,還要看以後的發展纔好評價。此書算是到目前為止對rough paths很好的總結。閱讀難度就因人而異瞭。
评分到Nilpotent group就看不懂瞭。
评分到Nilpotent group就看不懂瞭。
评分到Nilpotent group就看不懂瞭。
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