191 citations · 256 across the 29 of their papers we have counts for
4 papers · 2 filters
General criteria for the study of quasi-stationarity
Nicolas Champagnat, Denis Villemonais
For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in total variation norm to a quasi-stationary d…
Lower bound for the coarse Ricci curvature of continuous-time pure jump processes
Denis Villemonais
We obtain a lower bound for the coarse Ricci curvature of continuous time pure jump Markov processes, with an emphasis on interacting particle systems. Applications to several mode…
Perpetual integrals convergence and extinctions in population dynamics
Camille Coron, Sylvie Méléard, Denis Villemonais
In this article we use a criterion for the integrability of paths of one-dimensional diffusion processes from which we derive new insights on allelic fixation in several situations…
Lyapunov criteria for uniform convergence of conditional distributions of absorbed Markov processes
Nicolas Champagnat, Denis Villemonais
We study the quasi-stationary behavior of multidimensional processes absorbed when one of the coordinates vanishes. Our results cover competitive or weakly cooperative Lotka-Volter…