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.
N-particles approximation of the vlasov equa- tions with singular potential.Archive for rational mechanics and analysis, 183(3):489–524
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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.