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A non-Bernoulli skew product which is loosely Bernoulli

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Publication:1141248
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DOI10.1007/BF02760659zbMath0437.28008MaRDI QIDQ1141248

Robert M. jun. Burton

Publication date: 1980

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


zbMATH Keywords

loosely BernoulliBernoulli two shiftK-automorphismmeasure preserving bijectionnon-Bernoulli skew product


Mathematics Subject Classification ID

Measure-preserving transformations (28D05)


Related Items

A counterexample to a positive entropy skew product generalization of the Pinsker conjecture, On the non-equivalence of the Bernoulli and \(K\) properties in dimension four, Entropy and dyadic equivalence of random walks on a random scenery, A dyadic endomorphism which is Bernoulli but not standard



Cites Work

  • Mixing properties of a class of skew-products
  • New \(K\)-automorphisms and a problem of Kakutani
  • A class of extreme convex set functions with finite carrier
  • Cutting and independent stacking of intervals
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