296 citations
- Université Paris NanterreFR84 papers
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9 papers · 1 filter
Universality for one-dimensional hierarchical coalescence processes with double and triple merges
A. Faggionato, C. Roberto, C. Toninelli
We consider one-dimensional hierarchical coalescence processes (in short HCPs) where two or three neighboring domains can merge. An HCP consists of an infinite sequence of stochast…
Three examples of Brownian flows on $\RR$
Yves Le Jan, Olivier Raimond
We show that the only flow solving the stochastic differential equation (SDE) on $\RR$ where and are two indepe…
The limit distribution of the -error of Grenander-type estimators
Cécile Durot, Vladimir N. Kulikov, Hendrik P. Lopuhaä
Let be a nonincreasing function defined on . Under standard regularity conditions, we derive the asymptotic distribution of the supremum norm of the difference between $…
Distances in the highly supercritical percolation cluster
Anne-Laure Basdevant, Nathanaël Enriquez, Lucas Gerin
On the supercritical percolation cluster with parameter p, the distances between two distant points of the axis are asymptotically increased by a factor 1+(1-p)/2+o(1-p) with respe…
Characterization of Talagrand's transport-entropy inequalities in metric spaces
Nathaël Gozlan, Cyril Roberto, Paul-Marie Samson
We give a characterization of transport-entropy inequalities in metric spaces. As an application we deduce that such inequalities are stable under bounded perturbation (Holley-Stro…
On the algebraic numbers computable by some generalized Ehrenfest urns
Marie Albenque, Lucas Gerin
This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white b…