6533b872fe1ef96bd12d39ac
RESEARCH PRODUCT
Canonical Brownian Motion on the Diffeomorphism Group of the Circle
Shizan Fangsubject
Pure mathematicsGroup (mathematics)InfinitesimalMathematical analysisfundamental cocycle.Action (physics)Mathematics::ProbabilityMetric (mathematics)DiffeomorphismBrownian motiondiffeomorphism groupBrownian motionAnalysisMathematicsdescription
AbstractFor 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-12-01 | Journal of Functional Analysis |