Quelques problèmes liés aux systèmes infinis de particules et leurs limites
Séminaire de probabilités de Strasbourg, Tome 20 (1986), pp. 426-446.
@article{SPS_1986__20__426_0,
     author = {M\'etivier, Michel},
     title = {Quelques probl\`emes li\'es aux syst\`emes infinis de particules et leurs limites},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     pages = {426--446},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {20},
     year = {1986},
     mrnumber = {942037},
     zbl = {0622.60112},
     language = {fr},
     url = {http://archive.numdam.org/item/SPS_1986__20__426_0/}
}
TY  - JOUR
AU  - Métivier, Michel
TI  - Quelques problèmes liés aux systèmes infinis de particules et leurs limites
JO  - Séminaire de probabilités de Strasbourg
PY  - 1986
SP  - 426
EP  - 446
VL  - 20
PB  - Springer - Lecture Notes in Mathematics
UR  - http://archive.numdam.org/item/SPS_1986__20__426_0/
LA  - fr
ID  - SPS_1986__20__426_0
ER  - 
%0 Journal Article
%A Métivier, Michel
%T Quelques problèmes liés aux systèmes infinis de particules et leurs limites
%J Séminaire de probabilités de Strasbourg
%D 1986
%P 426-446
%V 20
%I Springer - Lecture Notes in Mathematics
%U http://archive.numdam.org/item/SPS_1986__20__426_0/
%G fr
%F SPS_1986__20__426_0
Métivier, Michel. Quelques problèmes liés aux systèmes infinis de particules et leurs limites. Séminaire de probabilités de Strasbourg, Tome 20 (1986), pp. 426-446. http://archive.numdam.org/item/SPS_1986__20__426_0/

[1] A. Aldous.- Exchangeability and related topics.- St-Flour, 1983. | Zbl

[2] D. Dawson.- Critical dynamics and fluctuations for a mean field model of cooperative behaviour. J. of Soc. Physics, 31, 1, 1983. | MR

[3] D. Dawson, G. Ivanoff.- Branching diffusions and random measures. Adv. in Prob., 5, 1978. | Zbl

[4] D. Dawson.- The critical measure diffusion process. Z. Wahr. verw. Gebiete 40, 1977, 135-145. | MR | Zbl

[5] R.L. Dobrushin.- Vlasov equations. Fund. Anal. & Applied, 13-115, 1979. | Zbl

[6] E. Hewitt, L.J. Savage.- Symmetric measures on cartesian products. Trans. Amer. Math. Soc. 80, 1955, 470-501. | MR | Zbl

[7] R.A. Holley, D.W. Stroock.- Generalized Ornstein-Uhlenbeck processes and infinite particle branching brownian motion. Publ. Res. Inst. Math. Sc. Kyoto 14, 1979, 741-788. | MR | Zbl

[8] K. Ito.- Motions of infinite particles. Kyoto University 367, 1979, 1-33.

[9] A. Joffe, M. Metivier.- Weak convergence of sequences of semimartingales with applications to multitype branching processes. Adv. in Applied Proba. 1986. | MR | Zbl

[10] M. Kac.- Foundations of kinetic theory. Proc. of 3rd Berkeley Symposium on Math. Stat. & Prob. 3, 1956, 171-197. | Zbl

[11] Ch. Leonard. Thèse 3e Cycle. Univ. Paris XI, 1984.

[12] P.L. Lions, A.S. Sznitman.- Stochastic differential equations with reflecting boundary conditions. 1982. | Zbl

[13] A. Martin Löf .- Limit theorems for the motions of a Poisson system of independent markovian particles with high density. Z. Wahr. verw. Gebiete 34, 1976, 205-223. | MR | Zbl

[14] H.P. Mckean.- Propagation of chaos for a class of non linear parabolic equations. Lecture series in Diff. Eq. 7. Catholic Univ. 1967, 41-57. | MR

[15] H.P. Mckean.- A class of Markov processes associated with non linear parabolic equations. Proc. Nat. Acad. Sci. 56. | MR | Zbl

[16] H.P. Mckean.- Fluctuations in the kinetic theory of gases. Comm. Pure Appl. Math. 28, 1975, 435-455. | MR

[17] M. Metivier.- Semimartingales. De Gruyter, 1982. | MR | Zbl

[18] P.A. Meyer.- Probabilités et potentiels. Hermann, 1966. | MR | Zbl

[19] S. Roelly-Coppoletta.- Processus de diffusion à valeurs mesures multiplicatifs. Thèse Univ. Paris VI, 1984.

[20] A.S. Sznitman.- An example of non linear diffusion process with normal reflecting boundary conditions and some related limit process. 1983.

[21] A.S. Sznitman.- A propagation of chaos result for Burgers'equation. Preprint, 1984.

[22] A.S. Sznitman, S.R.S. Varadhan.- A multidimensional process involving local time. Preprint, 1984. | MR

[23] R.A. Adams.- Sobolev spaces. Academic Press, 1975. | MR | Zbl

[24] C. Graham. Systèmes de particules en interaction dans un domain à paroi collante et problèmes de martingales avec réflexion. Preprint. Ecole Polytechnique, Palaiseau.