Date
Mon, 17 Nov 2003
15:45
Location
DH 3rd floor SR
Speaker
Nadia Sidorova
Organisation
Oxford

We construct and study different surface measures on the space of

paths in a compact Riemannian manifold embedded into the Euclidean

space. The idea of the constructions is to force a Brownian particle

in the ambient space to stay in a small neighbourhood of the manifold

and then to pass to the limit. Finally, we compare these surface

measures with the Wiener measure on the space of paths in the

manifold.

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