60 citations · 98 across the 21 of their papers we have counts for
8 papers · 1 filter
A central limit theorem for the variation of the sum of digits
Yohan Hosten, Élise Janvresse, Thierry de la Rue
We prove a Central Limit Theorem for probability measures defined via the variation of the sum-of-digits function, in base . For and , we conside…
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…
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.
Around King's Rank-One theorems: Flows and Z^n-actions
Élise Janvresse, Thierry De La Rue, Valery Ryzhikov
We study the generalizations of Jonathan King's rank-one theorems (Weak-Closure Theorem and rigidity of factors) to the case of rank-one R-actions (flows) and rank-one Z^n-actions.…
Averaging along Uniform Random Integers
Élise Janvresse, Thierry De La Rue
Motivated by giving a meaning to "The probability that a random integer has initial digit d", we define a URI-set as a random set E of natural integers such that each n>0 belongs t…
Zero Krengel Entropy does not kill Poisson Entropy
Élise Janvresse, Thierry De La Rue
We prove that the notions of Krengel entropy and Poisson entropy for infinite-measure-preserving transformations do not always coincide: We construct a conservative infinite-measur…
Almost-sure Growth Rate of Generalized Random Fibonacci sequences
Elise Janvresse, Benoît Rittaud, Thierry De La Rue
We study the generalized random Fibonacci sequences defined by their first nonnegative terms and for , (linear case) and $\widetilde F_{n+2}…
Pinning by a sparse potential
Élise Janvresse, Thierry De La Rue, Yvan Velenik
We consider a directed polymer interacting with a diluted pinning potential restricted to a line. We characterize explicitely the set of disorder configurations that give rise to l…