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arXiv:1002.2887 [math.PR]AbstractReferencesReviewsResources

Analysis on Path Spaces over Riemmannian Manifolds with Boundary

Feng-Yu Wang

Published 2010-02-15Version 1

By using Hsu's multiplicative functional for the Neumann heat equation, a natural damped gradient operator is defined for the reflecting Brownian motion on compact manifolds with boundary. This operator is linked to quasi-invariant flows in terms of a integration by parts formula, which leads to the standard log-Sobolev inequality for the associated Dirichlet form on the path space.

Comments: 14 pages
Categories: math.PR, math.DG
Subjects: 60J60, 58G32
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