Geometric realization for substitution tilings

DOI10.1017/etds.2012.142zbMath1296.37006arXiv1111.6641OpenAlexW3104838952MaRDI QIDQ5415937

Jean-Marc Gambaudo, Marcy M. Barge

Publication date: 19 May 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6641

zbMATH Keywords

substitution tilinggeometric realizationPisot substitution conjecturePisot family condition

Mathematics Subject Classification ID

Related Items (2)

The Pisot conjecture for -substitutions ⋮ Factors of Pisot tiling spaces and the Coincidence Rank Conjecture

Cites Work

• Nonperiodicity implies unique composition for self-similar translationally finite tilings
• The construction of self-similar tilings
• On the characterization of expansion maps for self-affine tilings
• Pure point diffractive substitution Delone sets have the Meyer property
• Cohomology in one-dimensional substitution tiling spaces
• Some compact invariant sets for hyperbolic linear automorphisms of torii
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• Two-symbol Pisot substitutions have pure discrete spectrum
• Hyperbolic pseudo-Anosov maps almost everywhere embed into a toral automorphism
• The Equicontinuous Structure Relation for Minimal Abelian Transformation Groups
• The undecidability of the domino problem

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