On a convexity property of sections of the cross-polytope

On a convexity property of sections of the cross-polytope

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).

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Veröffentlicht in:Proceedings of the American Mathematical Society 2020-03, Vol.148 (3), p.1271-1278
Hauptverfasser: Nayar, Piotr, Tkocz, Tomasz
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creator Nayar, Piotr
Tkocz, Tomasz
description 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).
doi_str_mv 10.1090/proc/14777
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title On a convexity property of sections of the cross-polytope
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