71 citations · 303 across the 42 of their papers we have counts for
6 papers · 1 filter
Exponential convergence to quasi-stationary distribution for absorbed one-dimensional diffusions with killing
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of absorbed one-dimensional diffusion processes with killing on . We obtain criteria for the exponential convergence…
Links between deterministic and stochastic approaches for invasion in growth-fragmentation-death models
Fabien Campillo, Nicolas Champagnat, Coralie Fritsch
We present two approaches to study invasion in growth-fragmentation-death mod- els. The first one is based on a stochastic individual based model, which is a piecewise deterministi…
Moments of the frequency spectrum of a splitting tree with neutral Poissonian mutations
Nicolas Champagnat, Benoît Henry
We consider a branching population where individuals live and reproduce independently. Their lifetimes are i.i.d. and they give birth at a constant rate b. The genealogical tree sp…
Quasi-stationary distribution for multi-dimensional birth and death processes conditioned to survival of all coordinates
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of multidimensional birth and death processes, modeling the interaction between several species, absorbed when one of the coordi…
Uniform convergence of conditional distributions for absorbed one-dimensional diffusions
Nicolas Champagnat, Denis Villemonais
This article studies the quasi-stationary behaviour of absorbed one-dimensional diffusions. We obtain necessary and sufficient conditions for the exponential convergence to a uniqu…
From stochastic, individual-based models to the canonical equation of adaptive dynamics - In one step
Martina Baar, Anton Bovier, Nicolas Champagnat
We consider a model for Darwinian evolution in an asexual population with a large but non-constant populations size characterized by a natural birth rate, a logistic death rate mod…