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Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups
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UNSPECIFIED (1996) Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 323 (8). pp. 921-926. ISSN 0764-4442
Full text not available from this repository.Abstract
Integration by parts are given for a class of measures on the space of paths of a smooth manifold M determined by the laws of degenerate diffusions. The mother of such formulae, on the path space of diffeomorphism group of M is shown to arise from a quasi-invariance property of measures determined by stochastic flows. From this the other formulae are derived by filtering out redundant noise using an associated Le Jan-Watanabe connection.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE |
| Publisher: | GAUTHIER-VILLARS |
| ISSN: | 0764-4442 |
| Date: | 17 October 1996 |
| Volume: | 323 |
| Number: | 8 |
| Number of Pages: | 6 |
| Page Range: | pp. 921-926 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/18279 |
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