59 citations · 83 across the 11 of their papers we have counts for
14 papers
Poisson-Orlicz norm and infinite Ergodic Theory
Emmanuel Roy
Urbanik's theorem for a Poisson process on an infinite measure space (X, A, ) relates integrability of stochastic integrals to a particular Orlicz function space L () on w…
Generic nonsingular Poisson suspension is of type
Alexandre I. Danilenko, Zemer Kosloff, Emmanuel Roy
It is shown that for a dense -subset of the subgroup of nonsingular transformations (of a standard infinite -finite measure space) whose Poisson suspensions are nonsingular…
Nonsingular Poisson Suspensions
Alexandre I. Danilenko, Zemer Kosloff, Emmanuel Roy
The classical Poisson functor associates to every infinite measure preserving dynamical system a probability preserving dynamical system called the Poisso…
Ergodic Poisson Splittings
Elise Janvresse, Emmanuel Roy, Thierry De La Rue
In this paper we study splittings of a Poisson point process which are equivariant under a conservative transformation. We show that, if the Cartesian powers of this transformation…
Nearly finite Chacon Transformation
Élise Janvresse, Emmanuel Roy, Thierry De La Rue
We construct an infinite-measure preserving version of Chacon transformation, and prove that it has a property similar to Minimal Self-Joinings in finite measure: its Cartesian pow…
Poisson suspensions and Sushis
Elise Janvresse, Emmanuel Roy, Thierry De La Rue
In this paper, we prove that ergodic point processes with moments of all orders, driven by particular infinite measure preserving transformations, have to be a superposition of shi…