Expansive actions of countable amenable groups, homoclinic pairs, and the Myhill property

zbMath1366.37072arXiv1508.07553MaRDI QIDQ327397

Michel Coornaert, Tullio G. Ceccherini Silberstein

Publication date: 19 October 2016

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07553

zbMATH Keywords

amenable grouphomoclinic pointexpansivestrongly irreducible subshift

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Symbolic dynamics (37B10) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

On \(C\)*-algebras from homoclinic equivalences on subshifts of finite type ⋮ A garden of Eden theorem for Anosov diffeomorphisms on tori ⋮ Continuous cocycle superrigidity for shifts and groups with one end ⋮ Homoclinically expansive actions and a garden of Eden theorem for harmonic models ⋮ Surjunctivity and topological rigidity of algebraic dynamical systems ⋮ Expansive actions with specification on uniform spaces, topological entropy, and the Myhill property ⋮ Garden of Eden and specification

Cites Work

• The Myhill property for strongly irreducible subshifts over amenable groups
• Gardens of Eden and amenability on cellular automata
• Symbolic dynamics and relatively hyperbolic groups.
• Amenable groups and cellular automata
• Endomorphisms of symbolic algebraic varieties
• The cohomology of higher-dimensional shifts of finite type
• Mean topological dimension
• Homoclinic groups, IE groups, and expansive algebraic actions
• An analogue of Fekete's lemma for subadditive functions on cancellative amenable semigroups
• On the density of periodic configurations in strongly irreducible subshifts
• PERIODIC CONFIGURATIONS OF SUBSHIFTS ON GROUPS
• Finitely presented dynamical systems
• Homoclinic points of algebraic $\mathbb {Z}^d$-actions
• Subshifts of multi-dimensional shifts of finite type