1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.PR2009★ 1 cited
Large deviations for singular and degenerate diffusion models in adaptive evolution
Nicolas Champagnat
In the course of Darwinian evolution of a population, punctualism is an important phenomenon whereby long periods of genetic stasis alternate with short periods of rapid evolutiona…
math.PR2006
Evolution of discrete populations and the canonical diffusion of adaptive dynamics
Nicolas Champagnat, Amaury Lambert
The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population,…
math.PR2005
A microscopic interpretation for adaptive dynamics trait substitution sequence models
Nicolas Champagnat
We consider an interacting particle Markov process for Darwinian evolution in an asexual population with non-constant population size, involving a linear birth rate, a density-depe…