Accepted Paper
Inserted: 16 apr 2013
Last Updated: 30 oct 2017
Journal: J. Eur. Math. Soc.
Year: 2013
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.
Keywords: Geometric measure theory, Gauss space, Symmetrization
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