3 papers
math.PR2025
Convergence of weighted branching processes
Denis Villemonais, Nicolas Zalduendo
We study the long-term behavior of weighted multi-type branching processes, focusing on extending classical laws of large numbers and martingale convergence to settings with infini…
q-bio.CB2025
Stochastic branching models for the telomeres dynamics in a model including telomerase activity
Athanase Benetos, Coralie Fritsch, Emma Horton +3
Telomeres are repetitive sequences of nucleotides at the end of chromosomes, whose evolution over time is intrinsically related to biological ageing. In most cells, with each cell…
math.PR2025
Linear and uniform in time bound for the binary branching model with Moran type interactions
A M G Cox, E Horton, D Villemonais
In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve,…