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arxiv: 1009.0189 · v1 · pith:K7NAT4YYnew · submitted 2010-09-01 · 🧮 math.CA

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

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keywords densitypointssemigroupspacessurfacebehaviourclassconcentrated
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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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