Title	On the volume of non-central sections of a cube
Creator	Rudelson, Mark
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-02-10T10:42
Description	Let $Q_n$ be the $n$-dimensional cube of side length one centered at the origin, and let $F$ be an affine $(n-d)$-dimensional subspace having distance to the origin less than or equal to $1/2$. We show that the $(n-d)$-dimensional volume of the section $Q_n$ by $F$ is bounded below by a value $c(d)$ depending only on the codimension $d$ but not on the ambient dimension $n$ or a particular subspace $F$. Joint work with Hermann Koenig.
Extent	31.0 minutes
Subject	Mathematics; Convex and discrete geometry; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Michigan, Ann Arbor
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-08-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0392666
URI	http://hdl.handle.net/2429/75395
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos