A class of processes on the path space over a compact Riemannian manifold with unbounded diffusion

Löbus, Jörg-Uwe

doi:10.1090/S0002-9947-04-03439-7

A class of processes on the path space over a compact Riemannian manifold with unbounded diffusion
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Trans. Amer. Math. Soc. 356 (2004), 3751-3767 Request permission

Abstract:

A class of diffusion processes on the path space over a compact Riemannian manifold is constructed. The diffusion of such a process is governed by an unbounded operator. A representation of the associated generator is derived and the existence of a certain local second moment is shown.

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