Some invariants of Kakutani equivalence

DOI10.1007/BF02760808zbMath0482.28031MaRDI QIDQ1162617

No author found.

Publication date: 1981

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

zbMATH Keywords

Kakutani equivalencehorocycle flowloosely Bernoullif metricinvariant of a measure preserving flowzero entropy ergodic measure preserving flow

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Ergodic theorems, spectral theory, Markov operators (37A30) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (9)

Measure-theoretic complexity of ergodic systems ⋮ Slow entropy of some combinatorial constructions ⋮ An uncountable family of pairwise non-Kakutani equivalent smooth diffeomorphisms ⋮ Time change for unipotent flows and rigidity ⋮ Time change invariants for measure preserving flows ⋮ Kakutani equivalence of unipotent flows ⋮ Slow entropy of some parabolic flows ⋮ Scaling entropy and automorphisms with pure point spectrum ⋮ Kakutani equivalence for products of some special flows over rotations

Cites Work

• Unnamed Item
• The Cartesian square of the horocycle flow is not loosely Bernoulli
• r-entropy, equipartition, and Ornstein's isomorphism theorem in \(\mathbb{R}^n\)
• New \(K\)-automorphisms and a problem of Kakutani
• Reparametrization of n-Flows of Zero Entropy

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