Adic realizations of ergodic actions by homeomorphisms of Markov compacta and ordered Bratteli diagrams

DOI10.1007/BF02355799zbMath0909.28012OpenAlexW2027364347MaRDI QIDQ1375170

Anatoly M. Vershik

Publication date: 3 February 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355799

zbMATH Keywords

Lebesgue spaceergodic transformationBratteli diagramAF-algebraergodic actionsBorel-Markov measureergodic homeomorphismMarkov compact

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Noncommutative dynamical systems (46L55) General groups of measure-preserving transformations (28D15)

Related Items (3)

A temporal central limit theorem for real-valued cocycles over rotations ⋮ Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1 ⋮ Minimality and unique ergodicity for adic transformations

Cites Work

• Unnamed Item
• Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor
• Entropy versus orbit equivalence for minimal homeomorphisms
• Singularities of analytic foliations and characteristic classes
• A theorem on the Markov periodic approximation in ergodic theory
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Constructions of strictly ergodic systems

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