71 citations · 303 across the 42 of their papers we have counts for
3 papers · 2 filters
Stochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain
Michel Benaïm, Nicolas Champagnat, Denis Villemonais
We study a random process with reinforcement, which evolves following the dynamics of a given diffusion process in a bounded domain and is resampled according to its occupation mea…
Practical criteria for R-positive recurrence of unbounded semigroups
Nicolas Champagnat, Denis Villemonais
The goal of this note is to show how recent results on the theory of quasi-stationary distributions allow to deduce effortlessly general criteria for the geometric convergence of n…
Stochastic analysis of emergence of evolutionary cyclic behavior in population dynamics with transfer
Nicolas Champagnat, Sylvie Méléard, Viet Chi Tran
Horizontal gene transfer consists in exchanging genetic materials between microorganisms during their lives. This is a major mechanism of bacterial evolution and is believed to be…