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.AP2019
A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
In this paper we are interested in the large time behavior of linear kinetic equations with heavy-tailed local equilibria. Our main contribution concerns the kinetic Lévy-Fokker-Pl…