@article{AIHPB_1998__34_6_727_0, author = {Jourdain, B. and M\'el\'eard, S.}, title = {Propagation of chaos and fluctuations for a moderate model with smooth initial data}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {727--766}, publisher = {Gauthier-Villars}, volume = {34}, number = {6}, year = {1998}, mrnumber = {1653393}, zbl = {0921.60053}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1998__34_6_727_0/} }
TY - JOUR AU - Jourdain, B. AU - Méléard, S. TI - Propagation of chaos and fluctuations for a moderate model with smooth initial data JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1998 SP - 727 EP - 766 VL - 34 IS - 6 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1998__34_6_727_0/ LA - en ID - AIHPB_1998__34_6_727_0 ER -
%0 Journal Article %A Jourdain, B. %A Méléard, S. %T Propagation of chaos and fluctuations for a moderate model with smooth initial data %J Annales de l'I.H.P. Probabilités et statistiques %D 1998 %P 727-766 %V 34 %N 6 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1998__34_6_727_0/ %G en %F AIHPB_1998__34_6_727_0
Jourdain, B.; Méléard, S. Propagation of chaos and fluctuations for a moderate model with smooth initial data. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 6, pp. 727-766. http://archive.numdam.org/item/AIHPB_1998__34_6_727_0/
[1] Sobolev Spaces, Academic Press, 1978.
,[2] A hilbertian approach for fluctuations on the Mckean-Vlasov model, Stochastic Processes and their Applications, 71, 1997 pp. 33-53. | MR | Zbl
and ,[3] Stochastic Differential Equations and Applications, volume 1, Academic Press, 1975. | MR | Zbl
,[4] Stochastic differential equations, Springer-Verlag, 1972. | MR | Zbl
and ,[5] Stochastic differential equations and stochastic flow of diffeomorphisms, In Ecole d'été de probabilités de Saint-Flour XII - 1982, Lect. Notes in Math. 1097. Springer-Verlag, 1984. | MR | Zbl
,[6] Linear and Quasilinear Equations of Parabolic Type, volume 23 of Translations of Mathenzatical Monographs. American Mathematical Society, 1968. | Zbl
, , and ,[7] Une loi des grands nombres pour des systèmes de diffusions avec interaction et à coefficients non bornés, Ann. Inst. Henri Poincaré, 22(2), 1986, pp. 237-262. | EuDML | Numdam | MR | Zbl
,[8] Propagation of chaos for a class of non-linear parabolic equations, In Lecture Series in Differential Equations, 7, 1967, pp. 41-57. | MR
,[9] A propagation of chaos result for a system of particles with moderate interaction, Stochastic Processes and their Applications, 26, 1987, pp. 317-332. | MR | Zbl
and ,[10] Probabilités et Potentiel, Hermann, 1966. | MR | Zbl
,[11] An ∞-dimensional inhomogeneous langevin's equation, Journal of Functional Analysis, 61:, 1985, pp. 342-359. | MR | Zbl
,[12] The Malliavin Calculus and Related Topics. Springer-Verlag, 1995. | MR | Zbl
,[13] A law of large numbers for moderately interacting diffusion processes, Z. Wahrsch. Verw. Geb., 69, 1985, pp. 279-322. | MR | Zbl
,[14] A fluctuation theorem for moderately interacting diffusion processes, Probab. Th. Rel. Fields, 74, 1987, pp. 591-616. | MR | Zbl
,[15] Topics in propagation of chaos, In Ecole d'été de probabilités de Saint-Flour XIX - 1989, Lect. Notes in Math. 1464. Springer-Verlag, 1991. | MR | Zbl
,[16] Functional Analysis, Springer-Verlag, sixth edition, 1980. | MR
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