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math.PR2012
Birth and death processes with neutral mutations
Nicolas Champagnat, Amaury Lambert, Mathieu Richard
In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutation…
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…