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.
Gaussian fluctuations for interact- ing particle systems with singular kernels.Archive for Rational Mechanics and Analysis, 247(5):101
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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.