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• W1000873334 abstract "This is a survey of some topics where global and stochastic analysis play a role. An introduction to analysis on Banach spaces with Gaussian measure leads to an analysis of the geometry of stochastic differential equations, stochastic flows, and their associated connections, with reference to some related topological vanishing theorems. Following that, there is a description of the construction of Sobolev calculi over path and loop spaces with diffusion measures, and also of a possible L 2 de Rham and Hodge-Kodaira theory on path spaces. Diffeomorphism groups and diffusion measures on their path spaces are central to much of the discussion. Knowledge of stochastic analysis is not assumed." @default.
• W1000873334 created "2016-06-24" @default.
• W1000873334 creator A5058207707 @default.
• W1000873334 date "2007-04-22" @default.
• W1000873334 modified "2023-09-27" @default.
• W1000873334 title "Aspects of Stochastic Global Analysis" @default.
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• W1000873334 doi "https://doi.org/10.1007/978-0-8176-4530-4_1" @default.
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