On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces

Alessio Figalli; Eris Runa; Luigi Ambrosio

arxiv: 1206.6307 · v1 · pith:4FTAFXAXnew · submitted 2012-06-27 · 🧮 math.CA

On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces

Luigi Ambrosio , Alessio Figalli , Eris Runa This is my paper

classification 🧮 math.CA

keywords perimeterfinitesetswieneralmostblows-upboundaryconvergence

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We study sets of finite perimeter in Wiener space, and prove that at almost every point (with respect to the perimeter measure) a set of finite perimeter blows-up to a halfspace.

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On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces

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