Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591908 | Journal of Functional Analysis | 2007 | 22 Pages |
Abstract
Let x denote a diffusion process defined on a closed compact manifold. In an earlier article, the author introduced a new approach to constructing admissible vector fields on the associated space of paths, under the assumption of ellipticity of x. In this article, this method is extended to yield similar results for degenerate diffusion processes. In particular, these results apply to non-elliptic diffusions satisfying Hörmander's condition.
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