Aperiodic subshifts of finite type on groups which are not finitely generated

DOI10.1090/proc/16379zbMath1521.37009arXiv2204.02447MaRDI QIDQ6106051

Sebastián Barbieri

Publication date: 27 June 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02447

zbMATH Keywords

subshift of finite typesymbolic dynamicsaperiodicity

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Multidimensional shifts of finite type (37B51)

Cites Work

• The large scale geometry of strongly aperiodic subshifts of finite type
• Periodic points on shifts of finite type and commensurability invariants of groups
• Small cancellations over relatively hyperbolic groups and embedding theorems.
• A small aperiodic set of Wang tiles
• The domino problem on groups of polynomial growth
• Aperiodic SFTs on Baumslag-Solitar groups
• On the domino problem of the Baumslag-Solitar groups
• Strongly aperiodic subshifts on surface groups
• Undecidability and nonperiodicity for tilings of the plane
• Tiling Problems on Baumslag-Solitar groups
• Strongly aperiodic subshifts of finite type on hyperbolic groups
• An Introduction to Symbolic Dynamics and Coding
• An aperiodic set of 11 Wang tiles
• A geometric simulation theorem on direct products of finitely generated groups
• A generalization of the simulation theorem for semidirect products
• The undecidability of the domino problem

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