3 papers
math.DS2011
Disjointness properties for Cartesian products of weakly mixing systems
Joanna Kułaga, François Parreau
For we consider the class JP() of dynamical systems whose every ergodic joining with a Cartesian product of weakly mixing automorphisms () can be represen…
math.DS2009
Joining primeness and disjointness from infinitely divisible systems
Mariusz Lemanczyk, François Parreau, Emmanuel Roy
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 whos…
math.DS2005
A new class of Ornstein transformations with singular spectrum
El Houcein El Abdalaoui, François Parreau, A. A. Prikhod'Ko
It is shown that for any family of probability measures in Ornstein type constructions the corresponding transformation has almost surely a singular spectrum. This is a new general…