Increasing propagation of chaos for mean field models

G. Ben Arous, O. Zeitouni

Research output: Contribution to journalArticle

Abstract

Let μ(N) denote a mean-field measure with potential F. Asymptotic independence properties of the measure μ(N) are investigated. In particular, with H (·\μ) denoting relative entropy, if there exists a unique non-degenerate minimum of H (·\μ) - 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.

Original languageEnglish (US)
Pages (from-to)85-102
Number of pages18
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume35
Issue number1
StatePublished - Jan 1999

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Propagation of Chaos
Mean-field Model
Asymptotic Independence
Langevin Dynamics
Relative Entropy
Mean Field
Denote
Relative entropy
Chaos
Propagation

Keywords

  • Exchangeability
  • Gibbs potential
  • Large deviations

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

Increasing propagation of chaos for mean field models. / Arous, G. Ben; Zeitouni, O.

In: Annales de l'institut Henri Poincare (B) Probability and Statistics, Vol. 35, No. 1, 01.1999, p. 85-102.

Research output: Contribution to journalArticle

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