A Danzer set for axis parallel boxes
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- by David Simmons and Yaar Solomon
- Proc. Amer. Math. Soc. 144 (2016), 2725-2729
- DOI: https://doi.org/10.1090/proc/12911
- Published electronically: October 21, 2015
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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 $O(T^d)$.References
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Bibliographic Information
- David Simmons
- Affiliation: Department of Mathematics, University of York, Heslington, York YO10 5DD, United Kingdom
- MR Author ID: 1005497
- Email: David.Simmons@york.ac.uk
- Yaar Solomon
- Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York
- Email: yaar.solomon@stonybrook.edu
- Received by editor(s): January 21, 2015
- Received by editor(s) in revised form: July 21, 2015
- Published electronically: October 21, 2015
- Communicated by: Nimish Shah
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2725-2729
- MSC (2010): Primary 54H20, 65D18, 68R01
- DOI: https://doi.org/10.1090/proc/12911
- MathSciNet review: 3477090