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A remark on hypercontractivity and the concentration of measure phenomenon in a compact Riemannian manifold

✍ Scribed by M. Ledoux


Book ID
112886893
Publisher
The Hebrew University Magnes Press
Year
1990
Tongue
English
Weight
339 KB
Volume
69
Category
Article
ISSN
0021-2172

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Quasi-Invariance of the Wiener Measure o
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We study a quasi-invariance property of the Wiener measure on the path space over a compact Riemannian manifold which generalizes the well-known CameronMartin theorem for euclidean space. This property is used to prove an integration by parts formula for the gradient operator. We use the integration