Good measures on Cantor space

DOI10.1090/S0002-9947-04-03524-XzbMath1078.37004OpenAlexW1569462149MaRDI QIDQ4663481

Ethan Akin

Publication date: 31 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03524-x

zbMATH Keywords

Cantor setRohlin propertyunique ergodicitygeneric conjugacy classmeasure on Cantor spaceordered measure spaces

Mathematics Subject Classification ID

Related Items (18)

Infinite measures on Cantor spaces ⋮ Generic properties of homeomorphisms preserving a given dynamical simplex ⋮ AF inverse monoids and the structure of countable MV-algebras ⋮ Orbit equivalent substitution dynamical systems and complexity ⋮ Measures on Cantor sets: The good, the ugly, the bad ⋮ Dynamical simplices and Borel complexity of orbit equivalence ⋮ Dynamical simplices and minimal homeomorphisms ⋮ Generically there is but one self homeomorphism of the Cantor set ⋮ Conjugacy in the Cantor set automorphism group ⋮ Homeomorphic measures on stationary Bratteli diagrams ⋮ Realizing dimension groups, good measures, and Toeplitz factors ⋮ Polish groups and Baire category methods ⋮ Invariant measures on stationary Bratteli diagrams ⋮ A characterization of homeomorphic Bernoulli trial measures ⋮ On homeomorphic Bernoulli measures on the Cantor space ⋮ Classifying invariant $\sigma $-ideals with analytic base on good Cantor measure spaces ⋮ A context in which finite or unique ergodicity is generic ⋮ Full groups of minimal homeomorphisms and Baire category methods

Cites Work

• On the shape of Cantor sets
• The topological Rohlin property and topological entropy
• Dynamics of topologically generic homeomorphisms
• WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS
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