Lazarovici, DPickl, P2018-06-042018-06-042017-090003-95271432-0673https://hdl.handle.net/10161/17108© 2017, Springer-Verlag Berlin Heidelberg. We present a probabilistic proof of the mean field limit and propagation of chaos N-particle systems in three dimensions with positive (Coulomb) or negative (Newton) 1/r potentials scaling like 1/N and an N-dependent cut-off which scales like N - 1 / 3 + ϵ . In particular, for typical initial data, we show convergence of the empirical distributions to solutions of the Vlasov–Poisson system with either repulsive electrical or attractive gravitational interactions.math-phmath-phmath.APmath.MPJournal article2018-06-04