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Mathematics > Metric Geometry

arXiv:1403.0362 (math)
[Submitted on 3 Mar 2014 (v1), last revised 14 Oct 2014 (this version, v3)]

Title:Determining pure discrete spectrum for some self-affine tilings

Authors:Shigeki Akiyama, Franz Gaehler, Jeong-Yup Lee
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Abstract:By the algorithm implemented in the paper [2] by Akiyama-Lee and some of its predecessors, we have examined the pure discreteness of the spectrum for all irreducible Pisot substitutions of trace less than or equal to $2$, and some cases of planar tilings generated by boundary substitutions due to the paper [17] by Kenyon.
Comments: 4 figures
Subjects: Metric Geometry (math.MG)
MSC classes: 52C23
Cite as: arXiv:1403.0362 [math.MG]
  (or arXiv:1403.0362v3 [math.MG] for this version)
  https://doi.org/10.48550/arXiv.1403.0362

Submission history

From: Jeong-Yup Lee [view email]
[v1] Mon, 3 Mar 2014 10:02:34 UTC (971 KB)
[v2] Mon, 16 Jun 2014 07:15:03 UTC (796 KB)
[v3] Tue, 14 Oct 2014 12:21:33 UTC (797 KB)
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