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arxiv: 1707.03135 · v3 · pith:KWU2YJ7Dnew · submitted 2017-07-11 · 🧮 math.PR · math.DG

Integration by parts and quasi-invariance for the horizontal Wiener measure on a foliated compact manifold

classification 🧮 math.PR math.DG
keywords horizontalmeasurewienerintegrationpartsprovequasi-invariancecompact
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We prove several versions of Driver's integration by parts formula for the horizontal Wiener measure on a totally geodesic Riemannian foliation and prove that the horizontal Wiener measure has a quasi-invariance property with respect to flows generated by suitable tangent processes.

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