Propagation of chaos for first-order mean-field systems with non-attractive moderately singular interaction

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Authors: Richard M. Höfer, Richard Schubert
Cited by: 0

Abstract

We consider particle systems that evolve by inertialess binary interaction through general non-attractive kernels of singularity |x|^{-\alpha} with \alpha . We prove a quantitative mean-field limit in terms of Wasserstein distances under certain conditions on the initial configuration while maintaining control of the particle configuration in the form of the minimal distance and certain singular sums of the particle distances. As a corollary, we show propagation of chaos for \alpha

Fields of Study & Subjects

Statistical Mechanics and Entropy Stochastic processes and statistical mechanics Material Dynamics and Properties

Publication details

Journal / source
Annales de l Institut Henri Poincaré C Analyse Non Linéaire
Publication date
30 July 2026
Language
EN