A mixing \(T\) for which \(T-T^{-1}\) is Bernoulli

DOI10.1007/BF01323652zbMath0498.28016MaRDI QIDQ1171162

Paul C. Shields, Robert M. jun. Burton

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178110

zbMATH Keywords

Bernoulli shiftskew productequiprobable product measuremixing entropy zero transformation

Mathematics Subject Classification ID

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

Related Items (2)

Bernoulli property for certain skew products over hyperbolic systems ⋮ On the non-equivalence of the Bernoulli and \(K\) properties in dimension four

Cites Work

• \(T,T^{-1}\) transformation is not loosely 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
• Skew products of Bernoulli shifts with rotations
• A K-automorphism with no square root and Pinsker's conjecture

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