Quasi-invariance of theWiener measure on path spaces: noncompact case

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Abstract

For a geometrically and stochastically complete, noncompact Riemannian manifold, we show that the flows on the path space generated by the Cameron–Martin vector fields exist as a set of random variables. Furthermore, if the Ricci curvature grows at most linearly, then the Wiener measure (the law of Brownian motion on the manifold) is quasi-invariant under these flows.
Original languageEnglish
Pages (from-to)278
JournalJournal of Functional Analysis
Volume193
DOIs
StatePublished - 2002

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