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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.
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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 | ||||
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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 | ||||
Official Date: | 17 October 1996 | ||||
Dates: |
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Volume: | 323 | ||||
Number: | 8 | ||||
Number of Pages: | 6 | ||||
Page Range: | pp. 921-926 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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