This paper deals with the study of the Malliavin calculus of Euclidean motions on Wiener space (i.e. transformations induced by general measure-preserving transformations, called ''rotations'', and H -valued shifts) and the associated flows on abstract Wiener spaces.
Flows Associated to Tangent Processes on the Wiener Space
β Scribed by Fernanda Cipriano; Ana Bela Cruzeiro
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 174 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-1236
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β¦ Synopsis
We prove, under certain regularity assumptions on the coefficients, that tangent processes (namely semimartingales d! { =a dx { +b d{ where a is an antisymmetric matrix) generate flows on the classical Wiener space. Main applications of the result can be found in the study of the geometry of path spaces.
π SIMILAR VOLUMES
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