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arXiv:1311.4510 [math.PR]AbstractReferencesReviewsResources

On the quasi-invariance of the Wiener measure on path spaces and the anticipative integrals over a Riemannian manifold

Adnan Aboulalaa

Published 2013-11-18Version 1

Some parts of stochastic analysis on curved spaces are revisted. A concise proof of the quasi-invariance of the Wiener measure on the path spaces over a Riemannian manifold is presented. The shifts are allowed to be in the Cameron-Martin space and random. The second part of the paper presents some remarks on the anticipative integrals on Riemannian manifolds.

Comments: 26 pages
Categories: math.PR
Subjects: 58J65, 60H07, 28C20
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