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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

Jonathan King
Jonathan King
Affiliation:
Department of Mathematics, SUNY at Albany, Albany, NY 12222, USA
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Abstract

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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).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 3 , September 1985 , pp. 379 - 407
Copyright
Copyright © Cambridge University Press 1985

References

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