Asymptotic orbits of primitive substitutions

DOI10.1016/S0304-3975(02)00889-7zbMath1022.68107OpenAlexW2138306980MaRDI QIDQ1400000

Beverly Diamond, Charles Holton, Marcy M. Barge

Publication date: 30 July 2003

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-3975(02)00889-7

zbMATH Keywords

asymptotic arc components in tiling spacesasymptotic words

Mathematics Subject Classification ID

Combinatorics on words (68R15)

Related Items (10)

Distributional chaos in constant-length substitution systems ⋮ A simple approach to minimal substitution subshifts ⋮ The mapping class group of a minimal subshift ⋮ Beyond primitivity for one-dimensional substitution subshifts and tiling spaces ⋮ Asymptotic structure in substitution tiling spaces ⋮ A graph approach to computing nondeterminacy in substitutional dynamical systems ⋮ Augmented dimension groups and ordered cohomology ⋮ Computing automorphism groups of shifts using atypical equivalence classes ⋮ An overview of unimodal inverse limit spaces ⋮ Asymptotic arc-components of unimodal inverse limit spaces

Cites Work

• Substitution dynamical systems - spectral analysis
• Power of words and recognizability of fixpoints of a substitution
• A characterization of substitutive sequences using return words
• A complete invariant for the topology of one-dimensional substitution tiling spaces
• An Introduction to Symbolic Dynamics and Coding
• Unnamed Item

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