Overlap coincidence to strong coincidence in substitution tiling dynamics

DOI10.1016/j.ejc.2014.01.009zbMath1348.37027arXiv1403.0377OpenAlexW2025611528MaRDI QIDQ2441963

Shigeki Akiyama, Jeong-Yup Lee

Publication date: 31 March 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0377

zbMATH Keywords

tiling dynamics

Mathematics Subject Classification ID

Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (6)

Symmetric and congruent Rauzy fractals ⋮ Strong coincidence and overlap coincidence ⋮ Decidability Problems for Self-induced Systems Generated by a Substitution ⋮ On arithmetic progressions in non-periodic self-affine tilings ⋮ Introduction to Hierarchical Tiling Dynamical Systems ⋮ A combinatorial approach to products of Pisot substitutions

Cites Work

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• Coincidence for substitutions of Pisot type
• Reprsentation des systmes dynamiques substitutifs non unimodulaires
• Two-symbol Pisot substitutions have pure discrete spectrum
• Pure Discrete Spectrum for One-dimensional Substitution Systems of Pisot Type
• On the Pisot Substitution Conjecture
• Pisot substitutions and Rauzy fractals

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