Topological realizations of families of ergodic automorphisms, multitowers and orbit equivalence

DOI10.1007/BF02773959zbMath1131.37008MaRDI QIDQ2472737

Isaac Kornfeld, Nicholas S. Ormes

Publication date: 22 February 2008

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

zbMATH Keywords

Cantor minimal systemorbit realization theoremfamilies of ergodic measure preserving automorphismsorbit equivalence classes

Mathematics Subject Classification ID

Related Items (8)

Uniform sets for infinite measure-preserving systems ⋮ Universal systems for entropy intervals ⋮ Rank as a function of measure ⋮ Bounded complexity, mean equicontinuity and discrete spectrum ⋮ MultiTowers, conjugacies and codes: Three theorems in Ergodic theory, one variation on Rokhlin’s Lemma ⋮ Zero-dimensional isomorphic dynamical models ⋮ Faces of simplexes of invariant measures ⋮ Minimal models for noninvertible and not uniquely ergodic systems

Cites Work

• The Choquet simplex of invariant measures for minimal flows
• On ergodic flows and the isomorphism of factors
• Strong orbit realization for minimal homeomorphisms
• Multiple Rokhlin tower theorem: A simple proof
• Minimal models for noninvertible and not uniquely ergodic systems
• Fiber entropy and conditional variational principles in compact non-metrizable spaces
• On Groups of Measure Preserving Transformations. I
• Factors of Toeplitz flows and other almost 1-1 extensions over group rotations
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• WEAK ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS
• On Groups of Measure Preserving Transformations. II
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