9 citations · 10 across the 8 of their papers we have counts for
8 papers
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…
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,…
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.…
Large-population limits of non-exchangeable particle systems
Nathalie Ayi, Nastassia Pouradier Duteil
A particle system is said to be non-exchangeable if two particles cannot be exchanged without modifying the overall dynamics. Because of this property, the classical mean-field app…
On a structure-preserving numerical method for fractional Fokker-Planck equations
Nathalie Ayi, Maxime Herda, Hélène Hivert +1
In this paper, we introduce and analyse numerical schemes for the homogeneous and the kinetic Lévy-Fokker-Planck equation. The discretizations are designed to preserve the main fea…
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…
Analysis of an asymptotic preserving scheme for stochastic linear kinetic equations in the diffusion limit
Nathalie Ayi, Erwan Faou
We present an asymptotic preserving scheme based on a micro-macro decomposition for stochastic linear transport equations in kinetic and diffusive regimes. We perfom a mathematical…
High-Field Limit from a Stochastic BGK Model to a Scalar Conservation Law with Stochastic Forcing
Nathalie Ayi
We study the derivation of a scalar conservation law with stochastic forcing starting from a stochastic BGK model with a high-field scaling. We prove the convergence to a new kinet…