Skew products of Bernoulli shifts with rotations

DOI10.1007/BF02790748zbMath0246.28009OpenAlexW4231162077MaRDI QIDQ2555589

Paul C. Shields, Roy. L. Adler

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf02790748

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (16)

A metric study involving independent sequences ⋮ On some generic classes of ergodic measure preserving transformations ⋮ Skew-product extensions of Markov operators and products of dependent random variables ⋮ An ergodic system is dominant exactly when it has positive entropy ⋮ Propriétés generiques de processus croises ⋮ Parameter estimation in differential equations, using random time transformations ⋮ On the non-equivalence of the Bernoulli and \(K\) properties in dimension four ⋮ A mixing \(T\) for which \(T-T^{-1}\) is Bernoulli ⋮ Mixing properties of a class of skew-products ⋮ Skew products of Bernoulli shifts with rotations. II ⋮ Weak and very weak Bernoulli partitions ⋮ A skew-product which is Bernoulli ⋮ Theory of dynamical systems and general transformation groups with invariant measure ⋮ Periodicity and absolute regularity ⋮ Bernoulliness of when is an irrational rotation: towards an explicit isomorphism ⋮ Higher dimensional expanding maps and toral extensions

Cites Work

• Bernoulli shifts with the same entropy are isomorphic
• On isomorphism of weak Bernoulli transformations
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