On a convexity property of sections of the cross-polytope

DOI10.1090/PROC/14777zbMATH Open1447.52013arXiv1810.02038OpenAlexW2962699582WikidataQ127440374 ScholiaQ127440374MaRDI QIDQ5212432

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Publication date: 29 January 2020

Published in: (Search for Journal in Brave)

Abstract: We establish the log-concavity of the volume of central sections of dilations of the cross-polytope (the strong B-inequality for the cross-polytope and Lebesgue measure restricted to an arbitrary subspace).

Full work available at URL: https://arxiv.org/abs/1810.02038

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