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Byron Schmuland - Rademacher's theorem on configuration space

BYRON SCHMULAND, University of Alberta, Edmonton, Alberta  T6G 2G1, Canada
Rademacher's theorem on configuration space

Rademacher's theorem says that a Lipschitz function on Rd is differentiable almost everywhere. Recently, Röckner and Schied have proved a version of this result for functions on the configuration space $\Gamma_{R^d}$ of locally finite subsets of Rd. In this talk, we will explain how this result can be used in the construction and quasi-sure analysis of a diffusion process living on $\Gamma_{R^d}$.


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