On the Density of Sets Avoiding Parallelohedron Distance 1

The maximal density of a measurable subset of R n avoiding Euclidean distance 1 is unknown except in the trivial case of dimension 1. In this paper, we consider the case of a distance associated to a polytope that tiles space, where it is likely that the sets avoiding distance 1 are of maximal densi...

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Veröffentlicht in:	Discrete & computational geometry 2019-10, Vol.62 (3), p.497-524
Hauptverfasser:	Bachoc, Christine, Bellitto, Thomas, Moustrou, Philippe, Pêcher, Arnaud
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computational Mathematics and Numerical Analysis Density Euclidean geometry Humanities and Social Sciences Lattices Library and information sciences Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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