The Myhill property for strongly irreducible subshifts over amenable groups

DOI10.1007/s00605-010-0256-2zbMath1283.37022arXiv1004.2422OpenAlexW2041697650MaRDI QIDQ662409

Michel Coornaert, Tullio G. Ceccherini Silberstein

Publication date: 22 February 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2422

zbMATH Keywords

entropyshiftamenable groupcellular automatonsubshiftMyhill propertystrongly irreducible subshiftGarden of Edentopologically mixing subshift

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Symbolic dynamics (37B10) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (12)

On \(C\)*-algebras from homoclinic equivalences on subshifts of finite type ⋮ Expansive actions of countable amenable groups, homoclinic pairs, and the Myhill property ⋮ Sensitivity and Devaney's chaos in uniform spaces ⋮ Cellular automata between sofic tree shifts ⋮ Garden of Eden and weakly periodic points for certain expansive actions of groups ⋮ Expansive actions with specification of sofic groups, strong topological Markov property, and surjunctivity ⋮ Unnamed Item ⋮ Symbolic dynamics on amenable groups: the entropy of generic shifts ⋮ Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property ⋮ Garden of Eden and specification ⋮ Verification of mixing properties in two-dimensional shifts of finite type ⋮ On dual surjunctivity and applications

Cites Work

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• Amenable groups and cellular automata
• Endomorphisms of symbolic algebraic varieties
• Cellular automata and strongly irreducible shifts of finite type.
• The Garden of Eden theorem for linear cellular automata
• Induction and restriction of cellular automata
• An Introduction to Symbolic Dynamics and Coding
• Shorter Note: The Converse of Moore's Garden-of-Eden Theorem
• Endomorphisms and automorphisms of the shift dynamical system

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