Search results for "diffeomorphism group"

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Canonical Brownian Motion on the Diffeomorphism Group of the Circle

2002

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.

Pure mathematicsGroup (mathematics)InfinitesimalMathematical analysisfundamental cocycle.Action (physics)Mathematics::ProbabilityMetric (mathematics)DiffeomorphismBrownian motiondiffeomorphism groupBrownian motionAnalysisMathematicsJournal of Functional Analysis
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