An Introduction to the Geometry of Stochastic Flows

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Release : 2004
Genre : Mathematics
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Book Rating : 817/5 ( reviews)

An Introduction to the Geometry of Stochastic Flows - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to the Geometry of Stochastic Flows write by Fabrice Baudoin. This book was released on 2004. An Introduction to the Geometry of Stochastic Flows available in PDF, EPUB and Kindle. This book aims to provide a self-contained introduction to the local geometry of the stochastic flows associated with stochastic differential equations. It stresses the view that the local geometry of any stochastic flow is determined very precisely and explicitly by a universal formula referred to as the Chen-Strichartz formula. The natural geometry associated with the Chen-Strichartz formula is the sub-Riemannian geometry whose main tools are introduced throughout the text. By using the connection between stochastic flows and partial differential equations, we apply this point of view of the study of hypoelliptic operators written in Hormander's form.

On the Geometry of Diffusion Operators and Stochastic Flows

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Release : 2007-01-05
Genre : Mathematics
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Book Rating : 220/5 ( reviews)

On the Geometry of Diffusion Operators and Stochastic Flows - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Geometry of Diffusion Operators and Stochastic Flows write by K.D. Elworthy. This book was released on 2007-01-05. On the Geometry of Diffusion Operators and Stochastic Flows available in PDF, EPUB and Kindle. Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. This should be useful to stochastic analysts, especially those with interests in stochastic flows, infinite dimensional analysis, or geometric analysis, and also to researchers in sub-Riemannian geometry. A basic background in differential geometry is assumed, but the construction of the connections is very direct and itself gives an intuitive and concrete introduction. Knowledge of stochastic analysis is also assumed for later chapters.

Measure-valued Processes and Stochastic Flows

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Release : 2023-11-06
Genre : Mathematics
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Book Rating : 515/5 ( reviews)

Measure-valued Processes and Stochastic Flows - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Measure-valued Processes and Stochastic Flows write by Andrey A. Dorogovtsev. This book was released on 2023-11-06. Measure-valued Processes and Stochastic Flows available in PDF, EPUB and Kindle.

Stochastic Differential Geometry at Saint-Flour

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Release : 2012-12-22
Genre : Mathematics
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Book Rating : 700/5 ( reviews)

Stochastic Differential Geometry at Saint-Flour - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Differential Geometry at Saint-Flour write by Alano Ancona. This book was released on 2012-12-22. Stochastic Differential Geometry at Saint-Flour available in PDF, EPUB and Kindle. Kunita, H.:Stochastic differential equations and stochastic flows of diffeomorphisms.-Elworthy, D.: Geometric aspects of diffusions on manifolds.-Ancona, A.:Théorie du potential sur les graphs et les variétiés.-Emery, M.:Continuous martingales in differentiable manifolds. ​

Séminaire de Probabilités XLII

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Release : 2009-06-29
Genre : Mathematics
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Book Rating : 622/5 ( reviews)

Séminaire de Probabilités XLII - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Séminaire de Probabilités XLII write by Catherine Donati-Martin. This book was released on 2009-06-29. Séminaire de Probabilités XLII available in PDF, EPUB and Kindle. The tradition of specialized courses in the Séminaires de Probabilités is continued with A. Lejay's Another introduction to rough paths. Other topics from this 42nd volume range from the interface between analysis and probability to special processes, Lévy processes and Lévy systems, branching, penalization, representation of Gaussian processes, filtrations and quantum probability.