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math.PR2025
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…
math.PR2025
The genealogy of nearly critical branching processes in varying environment
Florin Boenkost, Félix Foutel-Rodier, Emmanuel Schertzer
Building on the spinal decomposition technique in Foutel-Rodier and Schertzer (2022) we prove a Yaglom limit law for the rescaled size of a nearly critical branching process in var…
q-bio.PE2025
Genealogical transition in the noisy -Branching Random Walk. How stronger selection may promote genetic diversity
Emmanuel Schertzer, Alejandro H. Wences
We consider an extension of the noisy -Branching Random Walk that models the evolution of a population subject to natural selection. We show the existence of a critical value fo…