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math.AP2025
Stability of non-conservative cross diffusion model and approximation by stochastic particle systems
Vincent Bansaye, Alexandre Bertolino, Ayman Moussa
We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become loc…
math.PR2025
Strong law of large numbers and L log L condition for supercritical branching processes
Vincent Bansaye, Tresnia Berah, Bertrand Cloez
We consider branching processes for structured populations: each individual is characterized by a type or trait which belongs to a general measurable state space. We focus on the s…