A characterization of subshifts with bounded powers

DOI10.1016/j.disc.2013.08.026zbMath1344.68179arXiv1111.1609OpenAlexW2108048537MaRDI QIDQ394287

Daniel H. Lenz, Jean Savinien, Johannes Kellendonk

Publication date: 27 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1609

zbMATH Keywords

noncommutative geometrysubshiftscombinatorics on wordsbounded powers

Mathematics Subject Classification ID

Combinatorics on words (68R15) Noncommutative differential geometry (46L87) Symbolic dynamics (37B10) Noncommutative geometry (à la Connes) (58B34)

Related Items (13)

Regularity of aperiodic minimal subshifts ⋮ Closed, palindromic, rich, privileged, trapezoidal, and balanced words in automatic sequences ⋮ Remarks on Privileged Words ⋮ Introducing privileged words: privileged complexity of Sturmian words ⋮ On palindromic factorization of words ⋮ Spectral triples for subshifts ⋮ Fractal spectral triples on Kellendonk's \(C^\ast\)-algebra of a substitution tiling ⋮ Upper bound for the number of closed and privileged words ⋮ A metric characterisation of repulsive tilings ⋮ A classification of aperiodic order via spectral metrics and Jarník sets ⋮ Improved estimates for the number of privileged words ⋮ Upper bound for the number of privileged words ⋮ Privileged factors in the Thue-Morse word -- a comparison of privileged words and palindromes

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