Une loi des grands nombres pour des systèmes de diffusions avec interaction et à coefficients non bornés

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1. [Ald] D.J. Aldous, Exchangeability and related topics. École d'été de Saint-Flour, 1983. LNM1117 (Springer-Verlag). Zbl0562.60042MR883646
2. [Bou] N. Bourbaki, Intégration. Chapitre 9. Hermann, Paris, 1969. MR276436
3. [Daw] D.A. Dawson, Critical Dynamics and Fluctuations for a Mean-Field Model of Cooperative Behavior. Journal of Statistical Physics, t. 31, no. 1, 1983. MR711469
4. [GSk] I.I. Gihmann and A.V. Skorohod, Stochastic differential equations. Springer-Verlag, 1972. Zbl0242.60003MR346904
5. [JoM] A. Joffe and M. Métivier, Weak convergence of séquences of semimartingales with applications to multiple branching processes. Advances in Applied Probability (à paraître), 1985. Zbl0595.60008
6. [Kac] M. Kac, Probability and related topics in the physical sciences, New York: Interscience, 1958. Zbl0087.33003MR102849
7. [Leo] C. Léonard, Thèse de 3e cycle. Université d'Orsay (France), 1984. 
8. [McK] H.P. McKean, Jr.Propagation of chaos for a class of non-linear parabolic equations. Catholic University (Washington D. C.). Lecture Series in Differential equations, t. 7, 1967. Zbl0181.44401MR233437
9. [Oel] K. Oeschläger, A martingale approach to the law of large numbers for weakly interacting stochastic processes. The Annals of Probability, t. 12, no. 2, 1984, p. 458-479. Zbl0544.60097MR735849
10. [Szn] A.S. Sznitman, Nonlinear Reflecting Diffusion Process, and the Propagation of Chaos and Fluctuations Associated. Journal of Functional Analysis, t. 56, 1984, p. 311-336. Zbl0547.60080MR743844

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