Cagnetti, Filippo, Colombo, Maria, De Philippis, Guido and Maggi, Francesco (2017) Essential connectedness and the rigidity problem for Gaussian symmetrization. Journal of the European Mathematical Society, 19 (2). pp. 395-439. ISSN 1435-9855

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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.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics
Depositing User:	Filippo Cagnetti
Date Deposited:	24 Oct 2014 11:43
Last Modified:	13 Mar 2017 10:42
URI:	http://srodev.sussex.ac.uk/id/eprint/50710

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