Weak disjointness of measure preserving dynamical systems

Emmanuel Lesigne (1) , Benoît Rittaud (2) , Thierry de La Rue (3)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 LAGA - Laboratoire Analyse, Géométrie et Applications
3 LMRS - Laboratoire de Mathématiques Raphaël Salem

Two measure preserving dynamical systems are weakly disjoint if some pointwise convergence property is satisfied by ergodic averages on their direct product (a precise definition is given below). Disjointness implies weak disjointness. We start studying this new concept, both by stating some general properties and by giving various examples. The content of the article is summarized in the introduction.

Mots clés: théorie ergodique; disjonction; disjonction faible

Domaines: Systèmes dynamiques [math.DS]

Emmanuel Lesigne, Benoît Rittaud, Thierry de La Rue. Weak disjointness of measure preserving dynamical systems. Ergodic Theory and Dynamical Systems, 2003, 23. ⟨hal-00017086⟩