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arXiv · 1009.0189

Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces

Luigi Ambrosio·Alessio Figalli
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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-Uhlembeck semigroup.

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Luigi Ambrosio, Alessio Figalli. 2010-09-01. Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces. https://arxiv.org/abs/1009.0189

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