Canonical Brownian Motion on the Diffeomorphism Group of the Circle |
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Authors: | Shizan Fang |
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Affiliation: | Laboratoire de Topologie, Université de Bourgogne, 9, Avenue Alain Savary, BP 47870, 21078, Dijon, Francef1fang@u-bourgogne.frf1 |
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Abstract: | For infinitesimal data given on the group of diffeomorphism of the circle with respect to the metric H3/2, the associated Brownian motion has been constructed by Malliavin (C.R. Acad. Sci. Parist.329 (1999), 325-329). In this work, we shall give another approach and prove the invariance of heat measures under the adjoint action of S1. |
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Keywords: | diffeomorphism group Brownian motion fundamental cocycle. |
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