Realization of aperiodic subshifts and uniform densities in groups

DOI10.4171/GGD/487zbMath1437.37014arXiv1507.03369OpenAlexW3102317602MaRDI QIDQ1733162

Nathalie Aubrun, Sebastián Barbieri, Steéphan Thomassé

Publication date: 21 March 2019

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03369

zbMATH Keywords

symbolic dynamicsSturmian sequencescountable groupsamenable groupsaperiodic subshift

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Free semigroups, generators and relations, word problems (20M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Symbolic dynamics (37B10) Multidimensional shifts of finite type (37B51)

Related Items (7)

Probabilistic constructions in continuous combinatorics and a bridge to distributed algorithms ⋮ Uniformly recurrent subgroups and simple \(C^{\ast}\)-algebras ⋮ Equivariant maps to subshifts whose points have small stabilizers ⋮ A short proof of Bernoulli disjointness via the local lemma ⋮ Building large free subshifts using the Local Lemma ⋮ Realization of big centralizers of minimal aperiodic actions on the Cantor set ⋮ A generalization of the simulation theorem for semidirect products

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