The canonic diffusion above the diffeomorphism group of the circle;La diffusion canonique au-dessus du groupe des difféomorphismes du cercle

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 329, Issue 4, 1999, Pages 325-329

  Malliavin, Paul ^a  

^a NONE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033177056     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88575-4     Document Type: Article

References (7)

1. Driver B., Integration by parts and quasi-invariance for heat kernel measures on loop grops, J. Funct. Anal. 149 (1997) 470-547.
2. Gelfand I., Fuks D.B., Cohomology of the lie algebra of vector fields on the circle, Funct. Anal. App. 2 (1968) 92-93.
3. 1, Funct. Anal. App. 21 (1987) 35-46.
4. Kunita H., Stochastic Flows, Cambridge University Press, 1988.
5. Malliavin M.P., Malliavin P., Factorisations et théorèmes limites pour la diffusion horizontale au-dessus d'un espace riemannien symmétrique, Lect. Notes in Math. 404, Springer, 1974.
6. Malliavin M.P., Malliavin P., Quasi-invariant measure on the group of diffeomorphisms of the circle, Hashibara Forum on special functions, Okoyama August 1990, M. Kashiwara, T. Miwa (Eds.), ICM-90 Satellite Conferences Proceedings, Springer, 1991.
7. Malliavin P., Stochastic analysis, Grundlehren der Mathematik, Springer, 1997.