Pure point spectrum and regular model sets in substitution tilings on \(\mathbb{R}^d\)

DOI10.1007/978-3-030-62497-2_49zbMath1491.37026OpenAlexW3132431538MaRDI QIDQ2058976

Jeong-Yup Lee

Publication date: 10 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-62497-2_49

zbMATH Keywords

Pisot conjectureregular model set

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Tiling dynamics (37B52)

Cites Work

• Unnamed Item
• A characterization of model multi-colour sets
• The boundaries of self-similar tiles in \(\mathbb{R}^n\)
• On substitution tilings and Delone sets without finite local complexity
• Substitution Delone sets with pure point spectrum are inter-model sets
• Geometric theory of unimodular Pisot substitutions
• Characterization of model sets by dynamical systems
• Weighted Dirac combs with pure point diffraction
• Almost Periodic Pure Point Measures
• On the Pisot Substitution Conjecture
• Generalized $\beta$-expansions, substitution tilings, and local finiteness
• Lattice substitution systems and model sets

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