136 citations
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math.PR2013★ 1 cited
Adaptation in a stochastic multi-resources chemostat model
Nicolas Champagnat, Pierre-Emmanuel Jabin, Sylvie Méléard
We are interested in modeling the Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions, in the specific sc…
math.PR2012
On Dirichlet eigenvectors for neutral two-dimensional Markov chains
Nicolas Champagnat, Persi Diaconis, Laurent Miclo
We consider a general class of discrete, two-dimensional Markov chains modeling the dynamics of a population with two types, without mutation or immigration, and neutral in the sen…