A counterexample to a positive entropy skew product generalization of the Pinsker conjecture

DOI10.1017/S0143385700003023zbMath0594.28016WikidataQ123286189 ScholiaQ123286189MaRDI QIDQ3724611

Jonathan L. King

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Bernoulli shiftpositive entropyskew product transformationsBernoulli baseK-automorphismPinsker conjecture

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Ergodic theory (37A99)

Cites Work

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• A non-Bernoulli skew product which is loosely Bernoulli
• Mixing properties of a class of skew-products
• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• Two nonisomorphic K-automorphisms with isomorphic squares
• A skew-product which is Bernoulli
• A mixing transformation for which Pinsker's conjecture fails
• An uncountable family of K-automorphisms