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math.PR2026
The gene's-eye view of quantitative genetics
Philibert Courau, Amaury Lambert, Emmanuel Schertzer
Modelling the evolution of a continuous trait in a biological population is one of the oldest problems in evolutionary biology, which led to the birth of quantitative genetics. Wit…
math.PR2025
Evolution of a trait distributed over a large fragmented population: Propagation of chaos meets adaptive dynamics
Amaury Lambert, Hélène Leman, Hélène Morlon +1
We consider a metapopulation made up of demes, each containing individuals bearing a heritable quantitative trait. Demes are connected by migration and undergo independent…