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math.AP2025
Structured Continuity Equations in Fibred Wasserstein Spaces
Benoît Bonnet-Weill, Nastassia Pouradier Duteil
In this article, we develop a comprehensive ODE-theory for structured continuity equations in fibred probability spaces, which represent a class of heterogeneous PDEs arising as th…
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.…