On a convexity property of sections of the cross-polytope
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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).References
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Additional Information
- Piotr Nayar
- Affiliation: Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
- MR Author ID: 890939
- Email: nayar@mimuw.edu.pl
- Tomasz Tkocz
- Affiliation: Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
- MR Author ID: 926927
- Email: ttkocz@math.cmu.edu
- Received by editor(s): February 27, 2019
- Received by editor(s) in revised form: July 16, 2019
- Published electronically: September 23, 2019
- Communicated by: Deane Yang
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1271-1278
- MSC (2010): Primary 52A40; Secondary 52A20
- DOI: https://doi.org/10.1090/proc/14777
- MathSciNet review: 4055953