Increasing propagation of chaos for mean field models

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 35, Issue 1, 1999, Pages 85-102

  Arous, G Ben ^a,c   Zeitouni, O ^b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c EPFL   (Switzerland)

Author keywords

Exchangeability; Gibbs potential; Large deviations

Indexed keywords

EID: 0032615649     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0246-0203(99)80006-5     Document Type: Article

References (10)

1. G. Ben Arous and M. Brunaud, Méthode de Laplace: Étude variationnelle des fluctuations de diffusions de type "champ moyen", Stochastics, Vol. 31, 1990, pp. 79-144.
2. G. Ben Arous, Lecture notes, St. Flour, 1995.
3. E. Bolthausen, Laplace approximations for sums of independent random vectors, PTRF, Vol. 72, 1986, pp. 305-318.
4. E. Bolthausen, Laplace approximations for sums of independent random vectors, part II: Degenerate maxima and manifold of maxima, Prob. Theory Rel. Fields, Vol. 76, 1987, pp. 167-206.
5. I. Csiszár, Sanov property, generalized I-projection and a conditional limit theorem, Ann. Probab., Vol. 12, 1984, pp. 768-793.
6. A. Dembo and O. Zeitouni, Refinements of the gibbs conditioning principle, Prob. Theory Rel. Fields, Vol. 104, 1996, pp. 1-14.
7. P. Diaconis and D. Freedman, Finite exchangeable sequences, Ann. Probab., Vol. 8, 1980, pp. 745-764.
8. T. Funaki, A certain class of diffusion processes associated with nonlinear parabolic equations, Z. Wahr. Verw. Geb., Vol. 67, 1984, pp. 331-348.
9. A. Martin-Löf, A Laplace approximation for sums of independent random variables, Z. Wahr. Ver. Gebiete, Vol. 59, 1982, pp. 101-115.
10. F. Papangelou, On the gaussian fluctuations of the critical curie-weiss model in statistical mechanics, Prob. Theory Rel. Fields, Vol. 83, 1989, pp. 265-278.