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