Increasing propagation of chaos for mean field models

@inproceedings{Arous1999IncreasingPO,
  title={Increasing propagation of chaos for mean field models},
  author={G'erard Ben Arous and Ofer Zeitouni},
  year={1999}
}
- Let /&N) denote a mean-field measure with potential F. Asymptotic independence properties of the measure p(N) are investigated. In particular, with H(.I,u) denoting relative entropy, if there exists a unique non-degenerate minimum of H(. 1~) - F( .), then propagation of chaos holds for blocks of size o(N). Certain degenerate situations are also studied. The results are applied for the Langevin dynamics of a system of interacting particles leading to a McKean-Vlasov limit. 0 Elsevier, Paris 

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