Increasing propagation of chaos for mean field models

G. Ben Arous; O. Zeitouni

Annales de l'I.H.P. Probabilités et statistiques (1999)

  • Volume: 35, Issue: 1, page 85-102
  • ISSN: 0246-0203

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Ben Arous, G., and Zeitouni, O.. "Increasing propagation of chaos for mean field models." Annales de l'I.H.P. Probabilités et statistiques 35.1 (1999): 85-102. <http://eudml.org/doc/77624>.

@article{BenArous1999,
author = {Ben Arous, G., Zeitouni, O.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {propagation of chaos; entropy; mean field models},
language = {eng},
number = {1},
pages = {85-102},
publisher = {Gauthier-Villars},
title = {Increasing propagation of chaos for mean field models},
url = {http://eudml.org/doc/77624},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Ben Arous, G.
AU - Zeitouni, O.
TI - Increasing propagation of chaos for mean field models
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1999
PB - Gauthier-Villars
VL - 35
IS - 1
SP - 85
EP - 102
LA - eng
KW - propagation of chaos; entropy; mean field models
UR - http://eudml.org/doc/77624
ER -

References

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  1. [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. Zbl0705.60046MR1080535
  2. [2] G. Ben Arous, Lecture notes, St. Flour, 1995. 
  3. [3] E. Bolthausen, Laplace approximations for sums of independent random vectors, PTRF, Vol. 72, 1986, pp. 305-318. Zbl0572.60007MR836280
  4. [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. Zbl0608.60018MR906774
  5. [5] I. Csiszár, Sanov property, generalized I-projection and a conditional limit theorem, Ann. Probab., Vol. 12, 1984, pp. 768-793. Zbl0544.60011MR744233
  6. [6] A. Dembo and O. Zeitouni, Refinements of the Gibbs conditioning principle, Prob. Theory Rel. Fields, Vol. 104, 1996, pp. 1-14. Zbl0838.60025MR1367663
  7. [7] P. Diaconis and D. Freedman, Finite exchangeable sequences, Ann. Probab., Vol. 8, 1980, pp. 745-764. Zbl0434.60034MR577313
  8. [8] T. Funaki, A certain class of diffusion processes associated with nonlinear parabolic equations, Z. Wahr. verw. Geb., Vol. 67, 1984, pp. 331-348. Zbl0546.60081MR762085
  9. [9] A. Martin-Löf, A Laplace approximation for sums of independent random variables, Z. Wahr. ver. Gebiete, Vol. 59, 1982, pp. 101-115. Zbl0473.60036MR643791
  10. [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. Zbl0684.60080MR1012501

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