Canonical Brownian motion on the diffeomorphism group of the circle

摘要

For infinitesimal data given on the group of diffieomorphism 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. (C) 2002 Elsevier Science (USA). [References: 12]