285 citations · 285 across the 5 of their papers we have counts for
4 papers · 1 filter
Marcus-Lushnikov processes, Smoluchowski's and Flory's models
Nicolas Fournier, Philippe Laurencot
The Marcus-Lushnikov process is a finite stochastic particle system in which each particle is entirely characterized by its mass. Each pair of particles with masses and mer…
Smoothness of the law of some one-dimensional jumping S.D.E.s with non-constant rate of jump
Nicolas Fournier
We consider a one-dimensional jumping Markov process , solving a Poisson-driven stochastic differential equation. We prove that the law of admits a sm…
On the invariant distribution of a one-dimensional avalanche process
Xavier Bressaud, Nicolas Fournier
We consider an interacting particle system with values in , in which each vacant site becomes occupied with rate 1, while each connected com…
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Nicolas Fournier, Sylvie Meleard
We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann,…