Decomposition of a symbolic element over a countable amenable group into blocks approximating ergodic measures

DOI10.4171/GGD/679MaRDI QIDQ2102723

Tomasz Downarowicz, Mateusz Więcek

Publication date: 29 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02946

zbMATH Keywords

tilingsergodic decompositionamenable group actioninfinite concatenationsymbolic systems

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15) Tiling dynamics (37B52) Multidimensional shifts of finite type (37B51)

Cites Work

• The Choquet simplex of invariant measures for minimal flows
• Pointwise theorems for amenable groups.
• Tilings of amenable groups
• Folner's Conditions for Amenable Semi-Groups.
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