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math.AP2021
Mean-field limit of collective dynamics with time-varying weights
Nastassia Pouradier Duteil
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 in…
math.AP2020
Control of collective dynamics with time-varying weights
Nastassia Duteil, Benedetto Piccoli
This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective i…
math.AP2020
Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
Nastassia Duteil, Francesco Salvarani
This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently w…