3 papers
math.AP2026
Mean-Field limit of the non-exchangeable Cucker-Dong model
Nathalie Ayi, Adrien Cotil, Fanny Delebecque
In this article, we examine the mean-field limit of the non-exchangeable Cucker--Dong model. This model corresponds to a biologically more realistic version of the classic Cucker-S…
math.AP2026
Mean-field limits for interacting particle systems on general adaptive dynamical networks
Nathalie Ayi
We study the large-population limit of interacting particle systems evolving on adaptive dynamical networks, motivated in particular by models of opinion dynamics. In such systems,…
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.…