13 citations · 48 across the 28 of their papers we have counts for
29 papers · 1 filter
Non-linear branching processes and Crump-Mode-Jagers processes with interaction
Félix Foutel-Rodier, Emmanuel Schertzer
We consider a class of Crump-Mode-Jagers processes with interaction, constructed by removing a newly born offspring with a probability that depends on the age structure of the popu…
Moments of density-dependent branching processes and their genealogy
Mathilde André, Félix Foutel-Rodier, Emmanuel Schertzer
A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can…
Structured coalescents, coagulation equations and multi-type branching processes
Fernando Cordero, Sophia-Marie Mellis, Emmanuel Schertzer
Consider a structured population consisting of colonies, with migration rates proportional to a positive parameter . We sample individuals, distributed evenly across t…
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…
Convergence of spatial branching processes to -stable CSBPs: Genealogy of semi-pushed fronts
Félix Foutel-Rodier, Emmanuel Schertzer, Julie Tourniaire
We consider an inhomogeneous branching diffusion on an unbounded domain of and propose a simple condition under which we expect the size process (i.e., the number of…
Spectral analysis and -spine decomposition of inhomogeneous branching Brownian motions. Genealogies in fully pushed fronts
Emmanuel Schertzer, Julie Tourniaire
We consider a system of particles performing a one-dimensional dyadic branching Brownian motion with space-dependent branching rate, negative drift and killed upon reaching $0…