A simple condition for bounded displacement

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12 Scopus citations

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 languageEnglish
Pages (from-to)134-148
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume414
Issue number1
DOIs
StatePublished - 1 Jun 2014
Externally publishedYes

Keywords

  • Separated nets
  • Substitution tiling

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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