Quasi-invariance for the pinned Brownian motion on a Lie group

Abstract

We give a new proof of the well-known fact that the pinned Wiener measure on a Lie group is quasi-invariant under right multiplication by 1nite energy paths. The main technique we use is the time reversal. This approach is di3erent from what B. Driver used to prove quasi-invariance for the pinned Brownian motion on a compact Riemannian manifold. c © 2002… (More)

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