Fluctuations of mean-field interacting particle systems converge uniformly in time to a Gaussian limit at rate N^{-1/2} in the Wasserstein metric.
G\"artner, On the McKean--Vlasov limit for interacting diffusions, Math
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Uniform-in-time quantitative fluctuations of large scale interacting particle systems
Fluctuations of mean-field interacting particle systems converge uniformly in time to a Gaussian limit at rate N^{-1/2} in the Wasserstein metric.