|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 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 .