Divergence theorems in path space III: hypoelliptic diffusions and beyond

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dc.creatorBell, Denis
dc.date2007-02-05
dc.date.accessioned2026-07-07T07:44:48Z
dc.date.available2026-07-07T07:44:48Z
dc.descriptionLet $x$ 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.
dc.identifierhttps://arxiv.org/abs/math/0702092
dc.identifierhttp://arxiv.org/abs/math/0702092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123330
dc.subjectProbability
dc.subjectDifferential Geometry
dc.titleDivergence theorems in path space III: hypoelliptic diffusions and beyond
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