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math.AP2024
Scaling limits for a population model with growth, division and cross-diffusion
Marie Doumic, Sophie Hecht, Marc Hoffmann +1
Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting,…
math.AP2024
Mean-field limit of non-exchangeable multi-agent systems over hypergraphs with unbounded rank
Nathalie Ayi, Nastassia Pouradier Duteil, David Poyato
Interacting particle systems are known for their ability to generate large-scale self-organized structures from simple local interaction rules between each agent and its neighbors.…