13 citations · 43 across the 10 of their papers we have counts for
11 papers
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…
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.
Transposition game
Elise Janvresse, Steve Kalikow, Thierry De La Rue
We introduce a two-player game, in which each player extends a given sequence by picking a free element in a domain D of the real line. The aim of the players is to control the par…
Growth rate for the expected value of a generalized random Fibonacci sequence
Elise Janvresse, Benoît Rittaud, Thierry De La Rue
A random Fibonacci sequence is defined by the relation g_n = | g_{n-1} +/- g_{n-2} |, where the +/- sign is chosen by tossing a balanced coin for each n. We generalize these sequen…