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A counterexample to a positive entropy skew product generalization of the Pinsker conjecture
Published online by Cambridge University Press: 19 September 2008
Abstract
The class of k-automorphisms is not contained in a certain class of skew products over a Bernoulli base. The non-identity fibre transformation in the skew is allowed to have positive or even infinite entropy. A difficulty presented by positive entropy is handled via an apparently new property of independent processes (lemma 7.24).
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- Copyright © Cambridge University Press 1985