13 citations · 43 across the 10 of their papers we have counts for
3 papers · 1 filter
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…
Invariant measures for Cartesian powers of Chacon infinite transformation
Elise Janvresse, Emmanuel Roy, Thierry De La Rue
We describe all boundedly finite measures which are invariant by Cartesian powers of an infinite measure preserving version of Chacon transformation. All such ergodic measures are…
Standardness of monotonic Markov filtrations
Elise Janvresse, Stéphane Laurent, Thierry De La Rue
We derive a practical standardness criterion for the filtration generated by a monotonic Markov process. This criterion is applied to show standardness of some adic filtrations.