We investigate the mean-field dynamics of stochastic McKean differential equations with
heterogeneous particle interactions described by large network structures. To express a …

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. In …

We extend the theory of probability graphons, continuum representations of edge-decorated
graphs arising in graph limits theory, to the'right convergence'point of view. First of all, we …

We address a system of weakly interacting particles where the heterogenous connections
among the particles are described by a graph sequence and the number of particles grows …

In this paper we propose a framework to investigate the mean field limit (MFL) of interacting
particle systems on directed hypergraphs. We provide a non-trivial measure-theoretic …

Many natural phenomena are effectively described by interacting particle systems, which
can be modeled using either deterministic or stochastic differential equations (SDEs). In this …

In this dissertation, we analyze the behavior of network dynamical systems. First, we
determine conditions for the occurrence of synchrony in chaotic dynamical systems. Then …

-Jusqu'ici je n'ai guère eu le choix.-C'est vrai. Eh bien moi, je vous propose un choix. Vous
connaissez le jeu de Pile ou Face? Je vous laisse choisir: Pile vous allez dans un sens, et …