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Une classe de systemes pour lesquels la conjecture de Pinsker est vraie

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Abstract

In this paper it is proved that any factor of a dynamical system which is isomorphic to the direct product of a Bernoulli shift by a zero entropy system splits in the same way.

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Bibliographie

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  2. D. S. Ornstein,A mixing transformation for which Pinsker’s conjecture fails, Advances in Math.10 (1973), 103–123.

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  4. J. P. Thouvenot,Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont l’un est un schéma de Bernoulli, Israel J. Math.20 (1975), 177–207.

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Authors and Affiliations

  1. Laboratoire de Probabilités, Université de Paris vi-tour 56, 4, Place Jussieu, 75230, Paeis Cedex 05, France

    Jean-Paul Thouvenot

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  1. Jean-Paul Thouvenot
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Additional information

Equipe de Recherche no 1 “Processus stochastiques et applications” dépendant de la Section no 1 “Mathématiques, Informatique” associée au C.N.R.S.

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Thouvenot, JP. Une classe de systemes pour lesquels la conjecture de Pinsker est vraie. Israel J. Math. 21, 208–214 (1975). https://doi.org/10.1007/BF02760798

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  • DOI: https://doi.org/10.1007/BF02760798

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