Characterizing entropy dimensions of minimal mutidimensional subshifts of finite type

DOI10.3934/dcds.2021143zbMath1495.37016OpenAlexW3207715050MaRDI QIDQ2070889

Silvère Gangloff

Publication date: 24 January 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021143

zbMATH Keywords

symbolic dynamicssubshifts of finite typecomputabilityentropy dimension

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45) Relations between ergodic theory and number theory (37A44) Multidimensional shifts of finite type (37B51)

Cites Work

• Growth-type invariants for \(\mathbb Z^{d}\) subshifts of finite type and arithmetical classes of real numbers
• A characterization of the entropies of multidimensional shifts of finite type
• On the dynamics and recursive properties of multidimensional symbolic systems
• Tilings, substitution systems and dynamical systems generated by them
• Entropies realizable by block gluing \(\mathbb{Z}^{d}\) shifts of finite type
• Turing degree spectra of minimal subshifts
• Undecidability and nonperiodicity for tilings of the plane
• Complex tilings
• On the Expressive Power of Quasiperiodic SFT.
• Characterizations of periods of multi-dimensional shifts
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