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Canonical Brownian Motion on the Diffeomorphism Group of the Circle

✍ Scribed by Shizan Fang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
174 KB
Volume
196
Category
Article
ISSN
0022-1236

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✦ Synopsis

For infinitesimal data given on the group of diffeomorphism of the circle with respect to the metric H 3=2 , the associated Brownian motion has been constructed by Malliavin (C.R. Acad. Sci. Paris t. 329 (1999), 325-329). In this work, we shall give another approach and prove the invariance of heat measures under the adjoint action of S 1 .

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