On the fluctuations about the Vlasov limit for \(N\)-particle systems with mean-field interactions
The intention is to provide a complete simple proof of a general theorem describing the evolution of a given initial fluctuation field for the particle density in phase space and to characterize the most general class of initial symmetric probability measures that lead to the same Gaussian random field (in the infinite-particle limit) when the initial phase space coordinates of the particles are assumed to be random variables (which makes the standard central limit theorem applicable).
scientific article; zbMATH DE number 5625022
scientific article