Concentration of measure for Graphon particle system
Probability
2026-01-14 v1
Abstract
We study heterogeneously interacting diffusive particle systems with mean-field type interaction characterized by an underlying graphon and their finite particle approximations. Under suitable conditions, we obtain exponential concentration estimates over a finite time horizon for both 1 and 2 Wasserstein distances between the empirical measures of the finite particle systems and the averaged law of the graphon system, extending the work of Bayraktar-Wu.
Keywords
Cite
@article{arxiv.2205.04951,
title = {Concentration of measure for Graphon particle system},
author = {Erhan Bayraktar and Donghan Kim},
journal= {arXiv preprint arXiv:2205.04951},
year = {2026}
}