Joining primeness and disjointness from infinitely divisible systems

Mariusz Lemanczyk (1) , François Parreau (2) , Emmanuel Roy (2)

1 Faculty of Mathematics and Computer Science
2 LAGA - Laboratoire Analyse, Géométrie et Applications

We show that ergodic dynamical systems generated by infinitely divisible stationary processes are disjoint in the sense of Furstenberg with distally simple systems and systems whose maximal spectral type is singular with respect to the convolution of any two continuous measures.

Mots clés: Joinings; disjointness; infinite divisibility; distal simplicity; spectral singularity and convolutions

Domaines: Systèmes dynamiques [math.DS]

Mariusz Lemanczyk, François Parreau, Emmanuel Roy. Joining primeness and disjointness from infinitely divisible systems. Proceedings of the American Mathematical Society, 2011, 139 (1), pp.185-199. ⟨hal-00428519⟩