A skew-product which is Bernoulli

DOI10.1007/BF01320207zbMath0388.28026MaRDI QIDQ1250527

Paul C. Shields, Robert M. jun. Burton

Publication date: 1978

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

Full work available at URL: https://eudml.org/doc/177885

Mathematics Subject Classification ID

Entropy and other invariants (28D20)

Related Items (5)

Bernoulli property for certain skew products over hyperbolic systems ⋮ A counterexample to a positive entropy skew product generalization of the Pinsker conjecture ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ On the non-equivalence of the Bernoulli and \(K\) properties in dimension four ⋮ A mixing \(T\) for which \(T-T^{-1}\) is Bernoulli

Cites Work

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• Mixing properties of a class of skew-products
• Skew products of Bernoulli shifts with rotations. II
• Factors of Bernoulli shifts
• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• New \(K\)-automorphisms and a problem of Kakutani
• Weak and very weak Bernoulli partitions
• An application of ergodic theory to probability theory
• Skew products of Bernoulli shifts with rotations
• A K-automorphism with no square root and Pinsker's conjecture
• An uncountable family of K-automorphisms

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