Multidimensional Stochastic Processes as Rough Paths

Multidimensional Stochastic Processes as Rough Paths pdf epub mobi txt 電子書 下載2025

出版者:Cambridge University Press
作者:Peter K. Friz
出品人:
頁數:670
译者:
出版時間:2010-2-4
價格:GBP 79.99
裝幀:Hardcover
isbn號碼:9780521876070
叢書系列:Cambridge Studies in Advanced Mathematics
圖書標籤:
  • 隨機分析 
  • Stochastics 
  • Probability 
  • Mathematics 
  • Finance 
  •  
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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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到Nilpotent group就看不懂瞭。

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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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