Duality-based analysis yields fluctuation-scale O(N^{-1/2}) mean-field convergence for L2 interactions and optimal O(N^{-1}) rates plus correlation bounds under higher regularity via iterative dual cumulants.
Uniform in time propagation of chaosforthe2dvortexmodelandothersingularstochasticsystems.Journal of the European Mathematical Society, 27(6):2359–2386
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Quantitative Estimates for Mean-Field Limits and Correlation Functions through a Duality Framework
Duality-based analysis yields fluctuation-scale O(N^{-1/2}) mean-field convergence for L2 interactions and optimal O(N^{-1}) rates plus correlation bounds under higher regularity via iterative dual cumulants.