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no. 2
Discrete variants of Brunn–Minkowski type inequalities
Diana Halikias1; Bo’az Klartag2; Boaz A. Slomka3
1 Department of Mathematics, Yale University, New Haven, CT 06511, USA
2 Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
3 Department of Mathematics, the Open University of Israel, Ra’anana 4353701, Israel
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 30 (2021) no. 2, pp. 267-279.

We present an alternative, short proof of a recent discrete version of the Brunn–Minkowski inequality due to Lehec and the second named author. Our proof also yields the four functions theorem of Ahlswede and Daykin as well as some new variants.

Published online:
DOI: 10.5802/afst.1674

Diana Halikias 1; Bo’az Klartag 2; Boaz A. Slomka 3

1 Department of Mathematics, Yale University, New Haven, CT 06511, USA
2 Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
3 Department of Mathematics, the Open University of Israel, Ra’anana 4353701, Israel
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Diana Halikias; Bo’az Klartag; Boaz A. Slomka. Discrete variants of Brunn–Minkowski type inequalities. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 30 (2021) no. 2, pp. 267-279. doi : 10.5802/afst.1674. https://afst.centre-mersenne.org/articles/10.5802/afst.1674/

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