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- W2115086988 abstract "Denote by Diff(M) the group of C ∞ diffeomorphisms of a Riemannian manifold M. Define a Brownian flow on M as a Diff(M)-valued process Φt, with independent increments (Φt1, Φt2 ο Φt1 -1, ..., Φt1+1 ο Φti -1 if, t1 < t2 ... < ti). We assume in addition that the increments of the flow are stationary (Φs(law) ~ Φt+s ο Φt -1) and that for any init ial value x ∈ M, the one point process Φt(x) is a Brownian motion on M. An analytical characterization of Brownian flows is given in [1].KeywordsBrownian MotionAsymptotic PropertyDirichlet FormCurvature VectorPart FormulaThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W2115086988 created "2016-06-24" @default.
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- W2115086988 date "1991-01-01" @default.
- W2115086988 modified "2023-09-25" @default.
- W2115086988 title "Asymptotic Properties of Isotropic Brownian Flows" @default.
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- W2115086988 doi "https://doi.org/10.1007/978-1-4612-0451-0_10" @default.
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