A danzer set for axis parallel boxes

David Simmons; Yaar Solomon

doi:10.1090/proc/12911

A danzer set for axis parallel boxes

David Simmons
, Yaar Solomon

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	2725-2729
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	6
DOIs	https://doi.org/10.1090/proc/12911
State	Published - 1 Jun 2016
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/12911

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title = "A danzer set for axis parallel boxes",

abstract = "We present concrete constructions of discrete sets in ℝd (d ≥ 2) that intersect every aligned box of volume 1 in ℝd, and which have optimal growth rate O(Td).",

author = "David Simmons and Yaar Solomon",

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

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doi = "10.1090/proc/12911",

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AU - Solomon, Yaar

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AB - We present concrete constructions of discrete sets in ℝd (d ≥ 2) that intersect every aligned box of volume 1 in ℝd, and which have optimal growth rate O(Td).

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DO - 10.1090/proc/12911

M3 - Article

AN - SCOPUS:84961674986

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

A danzer set for axis parallel boxes

Abstract

ASJC Scopus subject areas

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