Showing math.DSShow all
3 papers · 1 filter
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.DS2008
Poisson suspensions and infinite ergodic theory
Emmanuel Roy
We investigate ergodic theory of Poisson suspensions. In the process, we establish close connections between finite and infinite measure preserving ergodic theory. Poisson suspensi…
math.DS2008
Poisson suspensions and entropy for infinite transformations
Elise Janvresse, Tom Meyerovitch, Emmanuel Roy +1
The Poisson entropy of an infinite-measure-preserving transformation is defined as the Kolmogorov entropy of its Poisson suspension. In this article, we relate Poisson entropy with…