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).

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 2020-03, Vol.148 (3), p.1271-1278
Hauptverfasser: Nayar, Piotr, Tkocz, Tomasz
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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).
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14777