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Weak disjointness of measure-preserving dynamical systems

Published online by Cambridge University Press:  01 August 2003

E. LESIGNE ,
B. RITTAUD  and
T. DE LA RUE
E. LESIGNE
Affiliation:
Laboratoire de Mathématiques et Physique Théorique, UMR CNRS 6083, Université François Rabelais, Parc de Grandmont, 37200 Tours, France (e-mail: lesigne@univ-tours.fr)
B. RITTAUD
Affiliation:
Laboratoire d'Analyse, Géométrie et Applications, UMR CNRS 7539, Institut Galilée, Université Paris 13, 99, av. J.B. Clément, 93430 Villetaneuse, France
T. DE LA RUE
Affiliation:
Laboratoire de Mathématiques Raphaël Salem, UMR CNRS 6085, Université de Rouen, 76821 Mont Saint-Aignan, France
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Abstract

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Two measure-preserving dynamical systems are weakly disjoint if some pointwise convergence property is satisfied by ergodic averages on their direct product. Disjointness implies weak disjointness. We start studying this new concept, both by stating some general properties and by giving various examples.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 4 , August 2003 , pp. 1173 - 1198
Copyright
2003 Cambridge University Press