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Structure de certains produits semi directs

Published online by Cambridge University Press:  19 September 2008

A. Lamotte
A. Lamotte
Affiliation:
Laboratoire de Probabilités, Associé au CNRS, n° 224, 4, Place Jussieu, Tour 56–66, 3ème étage, 75005 Paris, France
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Abstract

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We consider the skew product of a dynamical system with a Bernoulli flow and we prove that under additional conditions this skew product is isomorphic to a direct product. We use this result to show that the minimal diffeomorphism with strictly positive entropy (constructed by M. R. Herman) is isomorphic to a direct product of a 0-entropy dynamical system with a Bernoulli shift.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 4 , December 1983 , pp. 559 - 566
Copyright
Copyright © Cambridge University Press 1983

References

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