In this article, we propose a general framework for the study of differential inclusions in the
Wasserstein space of probability measures. Based on earlier geometric insights on the …

In this paper, we study a model for opinion dynamics where the influence weights of agents
evolve in time via an equation which is coupled with the opinions' evolution. We explore the …

We study a class of nonlocal partial differential equations presenting a tensor-mobility, in
space, obtained asymptotically from nonlocal dynamics on localising infinite graphs. Our …

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 …

In this paper, we investigate the asymptotic formation of consensus for several classes of
time-dependent cooperative graphon dynamics. After motivating the use of this type of …

In this work we extend the class of Consensus-Based Optimization (CBO) metaheuristic
methods by considering memory effects and a random selection strategy. The proposed …

The mean field limit with time dependent weights for a 1D singular case, given by the
attractive Coulomb interactions, is considered. This extends recent results (Ayi and Duteil …

In models of opinion dynamics, many parameters—either in the form of constants or in the
form of functions—play a critical role in describing, calibrating, and forecasting how opinions …

In this paper, we derive the mean-field limit of a collective dynamics model with time-varying
weights, for weight dynamics that preserve the total mass of the system as well as …

This paper proposes a further development of the mathematical theory of swarms to
behavioral dynamics of social and economic systems, with an application to the modeling of …