Deterministic coloring of a family of complexes

DOI10.1007/s10958-023-06691-9arXiv2007.02862OpenAlexW4387500332MaRDI QIDQ6184081

Alexei Kanel-Belov, I. A. Ivanov-Pogodaev

Publication date: 24 January 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02862

zbMATH Keywords

substitution systemnilsemigroupdeterminicity

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Discrete geometry (52C99) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

• Unnamed Item
• Matching rules and substitution tilings
• Deterministic aperiodic tile sets
• Local rules and global order, or aperiodic tilings
• Tilings, substitution systems and dynamical systems generated by them
• Tiling with polyominoes and combinatorial group theory
• Cubulating small cancellation groups.
• Undecidability and nonperiodicity for tilings of the plane
• A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication
• Finitely presented nilsemigroups: complexes with the property of uniform ellipticity

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