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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, Série 6, Tome 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.

Publié le :
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
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Discrete variants of {Brunn{\textendash}Minkowski} type inequalities},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {267--279},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 30},
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     doi = {10.5802/afst.1674},
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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, Série 6, Tome 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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