  In this paper, we consider graphon particle systems with heterogeneous
mean-field type interactions and the associated finite particle approximations.
Under suitable growth (resp. convexity) assumptions, we obtain uniform-in-time
concentration estimates, over finite (resp. infinite) time horizon, for the
Wasserstein distance between the empirical measure and its limit, extending the
work of Bolley--Guillin--Villani.

Probability