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Essential connectedness and the rigidity problem for Gaussian symmetrization
journal contribution
posted on 2023-06-08, 18:47 authored by Filippo Cagnetti, Maria Colombo, Guido De Philippis, Francesco MaggiWe 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.
History
Publication status
- Published
File Version
- Accepted version
Journal
Journal of the European Mathematical SocietyISSN
1435-9855Publisher
European Mathematical SocietyExternal DOI
Issue
2Volume
19Page range
395-439Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes