Published Paper

Inserted: 1 sep 2010
Last Updated: 12 aug 2024

Journal: Ann. Fac. Sci. Toulouse Math.
Year: 2011

Abstract:

We study points of density $1/2$ of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is concentrated on this class of points. Here density $1/2$ is formulated in terms of the pointwise behaviour of the Ornstein-Uhlenbeck semigroup.

Tags: GeMeThNES

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• bvessbou.pdf