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Integrability of Invariant Metrics on the Diffeomorphism Group of the Circle

✍ Scribed by A. Constantin; B. Kolev


Publisher
Springer
Year
2005
Tongue
English
Weight
218 KB
Volume
16
Category
Article
ISSN
0938-8974

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Canonical Brownian Motion on the Diffeom
✍ Shizan Fang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 174 KB

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