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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…
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,…