On the Geometry of Diffusion Operators and Stochastic Flows

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1999

3540667083 / 9783540667087

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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.

Seller Inventory # LU-9783540667087

Title
On the Geometry of Diffusion Operators and Stochastic Flows
Author
K.D. Elworthy, Y. Le Jan, Xue-Mei Li
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
1999
Condition
New
Binding
Paperback
Language
English
ISBN 10
3540667083
ISBN 13
9783540667087
Edition
1999 ed.

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