71 citations · 303 across the 42 of their papers we have counts for
4 papers · 1 filter
Splitting trees with neutral Poissonian mutations I: Small families
Nicolas Champagnat, Amaury Lambert
We consider a neutral dynamical model of biological diversity, where individuals live and reproduce independently. They have i.i.d. lifetime durations (which are not necessarily ex…
Convergence to equilibrium in competitive Lotka-Volterra equations
Nicolas Champagnat, Pierre-Emmanuel Jabin, Gael Raoul
We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in two previous articles to prove th…
Reconciling alternate methods for the determination of charge distributions: A probabilistic approach to high-dimensional least-squares approximations
Nicolas Champagnat, Christophe Chipot, Erwan Faou
We propose extensions and improvements of the statistical analysis of distributed multipoles (SADM) algorithm put forth by Chipot et al. in [6] for the derivation of distributed at…
The evolutionary limit for models of populations interacting competitively with many resources
Nicolas Champagnat, Pierre-Emmanuel Jabin
We consider a integro-differential nonlinear model that describes the evolution of a population structured by a quantitative trait. The interactions between traits occur from compe…