On the volume of hyperplane sections of a d-CUBE

Aliev, Iskander 2020. On the volume of hyperplane sections of a d-CUBE. Acta Mathematica Hungarica 10.1007/s10474-020-01057-y Item availability restricted.

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Abstract

We obtain an optimal upper bound for the normalised volume of a hyper-plane section of an origin-symmetric d-dimensional cube. This confirms a conjecture posed by Imre Barany and Peter Frankl.

Item Type:	Article
Date Type:	Published Online
Status:	In Press
Schools:	Mathematics
Publisher:	Akadémiai Kiadó / Springer Verlag (Germany)
ISSN:	0236-5294
Date of First Compliant Deposit:	2 November 2020
Date of Acceptance:	24 April 2020
Last Modified:	20 Jan 2021 23:03
URI:	http://orca.cf.ac.uk/id/eprint/136065

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