Abstract
We study separated nets Y that arise from primitive substitution tilings of Rd. We show that the question whether Y is a bounded displacement of Zd or not can be reduced, in many cases, to a simple question on the eigenvalues and eigenspaces of the substitution matrix.
Original language | English |
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Pages (from-to) | 134-148 |
Number of pages | 15 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 414 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jun 2014 |
Externally published | Yes |
Keywords
- Separated nets
- Substitution tiling
ASJC Scopus subject areas
- Analysis
- Applied Mathematics