Graph covers and ergodicity for zero-dimensional systems

DOI10.1017/etds.2014.72zbMath1355.37008arXiv1506.06515OpenAlexW3102199746MaRDI QIDQ2808043

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Publication date: 26 May 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06515

zbMATH Keywords

combinatoricsergodic measuresBratteli-Vershik systemsgraph coversKakutani-Rohlin refinementszero-dimensional systems

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15) Infinite graphs (05C63)

Related Items (11)

Combinatorial embedding of chain transitive zero-dimensional systems into chaos ⋮ Zero-dimensional almost 1-1 extensions of odometers from graph coverings ⋮ Bratteli-Vershik models and graph covering models ⋮ Graph covers of higher dimensional dynamical systems ⋮ Shifts of finite type as fundamental objects in the theory of shadowing ⋮ Edrei's conjecture revisited ⋮ All minimal Cantor systems are slow ⋮ The isomorphism class of the shift map ⋮ Rank 2 proximal Cantor systems are residually scrambled ⋮ TOPOLOGICAL RANK DOES NOT INCREASE BY NATURAL EXTENSION OF CANTOR MINIMALS ⋮ The construction of a completely scrambled system by graph covers

Cites Work

• Special homeomorphisms and approximation for Cantor systems
• Algebraic topology for minimal Cantor sets
• Cantor aperiodic systems and Bratteli diagrams
• Finite rank Bratteli diagrams: Structure of invariant measures
• Generically there is but one self homeomorphism of the Cantor set
• Construction of almost automorphic symbolic minimal flows
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Bratteli–Vershik models for Cantor minimal systems: applications to Toeplitz flows

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