Quelques problèmes liés aux systèmes infinis de particules et leurs limites

 Access to full text

 Full (PDF)

1. [1] A. Aldous.- Exchangeability and related topics.- St-Flour, 1983. Zbl0562.60042
2. [2] D. Dawson.- Critical dynamics and fluctuations for a mean field model of cooperative behaviour. J. of Soc. Physics, 31, 1, 1983. MR711469
3. [3] D. Dawson, G. Ivanoff.- Branching diffusions and random measures. Adv. in Prob., 5, 1978. Zbl0407.60087
4. [4] D. Dawson.- The critical measure diffusion process. Z. Wahr. verw. Gebiete40, 1977, 135-145. Zbl0343.60001MR478374
5. [5] R.L. Dobrushin.- Vlasov equations. Fund. Anal. & Applied, 13-115, 1979. Zbl0422.35068
6. [6] E. Hewitt, L.J. Savage.- Symmetric measures on cartesian products. Trans. Amer. Math. Soc.80, 1955, 470-501. Zbl0066.29604MR76206
7. [7] R.A. Holley, D.W. Stroock.- Generalized Ornstein-Uhlenbeck processes and infinite particle branching brownian motion. Publ. Res. Inst. Math. Sc. Kyoto14, 1979, 741-788. Zbl0412.60065MR527199
8. [8] K. Ito.- Motions of infinite particles. Kyoto University367, 1979, 1-33. 
9. [9] A. Joffe, M. Metivier.- Weak convergence of sequences of semimartingales with applications to multitype branching processes. Adv. in Applied Proba.1986. Zbl0595.60008MR827331
10. [10] M. Kac.- Foundations of kinetic theory. Proc. of 3rd Berkeley Symposium on Math. Stat. & Prob.3, 1956, 171-197. Zbl0072.42802
11. [11] Ch. Leonard. Thèse 3e Cycle. Univ. Paris XI, 1984. 
12. [12] P.L. Lions, A.S. Sznitman.- Stochastic differential equations with reflecting boundary conditions. 1982. Zbl0598.60060
13. [13] A. Martin Löf .- Limit theorems for the motions of a Poisson system of independent markovian particles with high density. Z. Wahr. verw. Gebiete34, 1976, 205-223. Zbl0332.60038MR402987
14. [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. MR233437
15. [15] H.P. McKean.- A class of Markov processes associated with non linear parabolic equations. Proc. Nat. Acad. Sci.56. Zbl0149.13501MR221595
16. [16] H.P. McKean.- Fluctuations in the kinetic theory of gases. Comm. Pure Appl. Math.28, 1975, 435-455. MR395662
17. [17] M. Metivier.- Semimartingales. De Gruyter, 1982. Zbl0503.60054MR688144
18. [18] P.A. Meyer.- Probabilités et potentiels. Hermann, 1966. Zbl0138.10402MR205287
19. [19] S. Roelly-Coppoletta.- Processus de diffusion à valeurs mesures multiplicatifs. Thèse Univ. Paris VI, 1984. 
20. [20] A.S. Sznitman.- An example of non linear diffusion process with normal reflecting boundary conditions and some related limit process. 1983. 
21. [21] A.S. Sznitman.- A propagation of chaos result for Burgers'equation. Preprint, 1984. 
22. [22] A.S. Sznitman, S.R.S. Varadhan.- A multidimensional process involving local time. Preprint, 1984. Zbl0613.60050MR833269
23. [23] R.A. Adams.- Sobolev spaces. Academic Press, 1975. Zbl0314.46030MR450957
24. [24] C. Graham. Systèmes de particules en interaction dans un domain à paroi collante et problèmes de martingales avec réflexion. Preprint. Ecole Polytechnique, Palaiseau. 

1. Emmanuel Cépa, Dominique Lépingle, Brownian particles with electrostatic repulsion on the circle : Dyson’s model for unitary random matrices revisited
2. Emmanuel Cépa, Dominique Lépingle, Brownian particles with electrostatic repulsion on the circle: Dyson's model for unitary random matrices revisited