14 citations · 21 across the 3 of their papers we have counts for
3 papers
math.DS2012★ 14 cited
Prime Poisson suspensions
François Parreau, Emmanuel Roy
We establish a necessary and sufficient condition for a Poisson suspension to be prime. The proof is based on the Fock space structure of the -space of the Poisson suspensio…
math.DS2011
Lifting mixing properties by Rokhlin cocycles
M. Lemanczyk, F. Parreau
We study the problem of lifting various mixing properties from a base automorphism $T\in {\rm Aut}\xbm$ to skew products of the form $\tfs$, where $\va:X\to G$ is a cocycle with va…
math.DS2006★ 7 cited
Eigenvalues of transformations arising from irrational rotations and step functions. (Valeurs propres de transformations liées aux rotations irrationnelles et aux fonctions en escalier)
Melanie Guenais, Francois Parreau
Given an irrational rotation on $\M T$ we settle necessary and sufficient conditions on a step function and $t\in \M T$ for the existence of measurable solutions to the coh…