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A Danzer set for Axis Parallel Boxes

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JournalProceedings of the American Mathematical Society
DateAccepted/In press - 3 Sep 2014
DateE-pub ahead of print - 21 Oct 2015
DatePublished (current) - 1 Jun 2016
Issue number6
Volume144
Number of pages5
Pages (from-to)2725-2729
Early online date21/10/15
Original languageEnglish

Abstract

We present concrete constructions of discrete sets in $\mathbb{R}^d$ ($d\ge 2$) that intersect every aligned box of volume $1$ in $\mathbb{R}^d$, and which have optimal growth rate $O(T^d)$.

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© 2015 American Mathematical Society. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

    Research areas

  • cs.CG, cs.DM, math.DS

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