Publication

Essential connectedness and the rigidity problem for Gaussian symmetrization

2017
Journal paper

Abstract

We provide a geometric characterization of rigidity of equality cases in Ehrhard ' s symmetrization inequality for Gaussian perimeter. This condition is formulated in terms of a new measure-theoretic notion of connectedness for Borel sets, inspired by Federer ' s definition of indecomposable current, and of possible broader interest.

Official source

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Essential connectedness and the rigidity problem for Gaussian symmetrization

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