Restricted orbit equivalence

DOI10.1090/memo/0323zbMath0601.28013OpenAlexW1978060094MaRDI QIDQ3736000

Daniel J. Rudolph

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1090/memo/0323

zbMATH Keywords

Ornstein's isomorphism theoremDye's orbit equivalence theoremKakutani's equivalence theoremrestricted orbit equivalence of ergodic transformations of a measure spacesize of a permutation of an orbit

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20)

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Entropy, products, and bounded orbit equivalence, Entropy and isomorphism theorems for actions of amenable groups, Strong orbit realization for minimal homeomorphisms, The complexity threshold for the emergence of Kakutani inequivalence, Dyadic equivalence to completely positive entropy, Statistical properties of chaotic systems, Behaviour of entropy under bounded and integrable orbit equivalence