@phdthesis{BJHTUP11_1984__0148__P0_0,
author = {L\'eonard, Christian},
title = {Sur la limite en loi et les fluctuations de certains mod\`eles dynamiques d'interaction},
series = {Th\`eses d'Orsay},
year = {1984},
publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
number = {148},
language = {fr},
url = {https://www.numdam.org/item/BJHTUP11_1984__0148__P0_0/}
}
TY - BOOK AU - Léonard, Christian TI - Sur la limite en loi et les fluctuations de certains modèles dynamiques d'interaction T3 - Thèses d'Orsay PY - 1984 IS - 148 PB - Université de Paris-Sud Centre d'Orsay UR - https://www.numdam.org/item/BJHTUP11_1984__0148__P0_0/ LA - fr ID - BJHTUP11_1984__0148__P0_0 ER -
Léonard, Christian. Sur la limite en loi et les fluctuations de certains modèles dynamiques d'interaction. Thèses d'Orsay, no. 148 (1984), 196 p. https://www.numdam.org/item/BJHTUP11_1984__0148__P0_0/
[Ald] . Exchangeability and related topics. Ecole d'été de Saint-Flour. 1983 (à paraitre dans LNM) | MR | Zbl
[Aze] (1980) Grandes Déviations et Applications Statistiques. Lecture Notes in Math. 774. Springer-Verlag. | MR | Zbl
[Bou] . Intégration. Chapitre 9. Hermann, Paris, 1969. | Zbl
[Bre] . Formule de Chernoff pour les lois empiriques de variables à valeurs dans des espaces généraux. Grandes déviations et applications statistiques. Astérisque 68. | Zbl | Numdam
[Dac] . Formule de Chernoff pour une suite de variables réelles. Grandes déviations et applications statistiques. Astérisque 68. | Numdam | Zbl
[Daw] (1983) Critical dynamics and fluctuations for a mean-field model of cooperative behavior. Journal of statistical physics. Vol. 31, no. 1. | MR | DOI
[Dob] (1968) The problem of uniqueness of a Gibbsian Random Field and the problem of phase transitions. Functional Analysis and its applications. 2 (pp. 302-312). | Zbl | MR | DOI
[Dyn] (1967) Markov Processes I. Springer-Verlag. | MR
[Dzw] & (1978) Statistical mechanics of a nonlinear stochastic model. Journal of statistical physics. Vol. 19, no. 1. | MR | DOI
[EN1] & (1978) Limit theorems for sums of dependent random variables occurring in statistical mechanics. Z.W.v.G. 44, 117-139. | MR | Zbl
[EN2] & (1978) Necessary and sufficient conditions for the G.H.S. inequality with applications to analysis and probability. Transactions of the American Mathematical Society. Vol. 237, March 1978. | MR | Zbl
[Fou] (1983) La convergence en loi pour les processus à valeurs dans un espace nucléaire (à paraitre). | MR | Zbl | Numdam
[Gro] (1980) Thermodynamics, statistical mechanics and random fields. Lecture Notes in Mathematics 929. Springer-Verlag. | MR | Zbl
[GSk] & (1972) Stochastic differential equations. Springer-Verlag. | MR
[HSt] & (1978) Generalized Ornstein-Uhlenbeck processes and infinite particle branching brownian motions. Publ. RIMS, Kyoto Univ. 14, 741-788. | MR | Zbl | DOI
[JoM] & (1984) Weak convergence of sequences of semimartingales with applications to multiple branching processes (à paraitre) | MR | Zbl
[Kac] (1958) Probability and related topics in the physical sciences (New York : Interscience, 1958). | MR
[Kal] (1973) Canonical representations and convergence criteria for processes with interchangeable increments. Z.W.v.G. 27, pp. 23-36. | MR | Zbl
[MKl] (1966) A class of Markov processes associated with nonlinear parabolic equation. Proc. N.A.S. uSA. 56 pp. 1907-1911. | MR | Zbl | DOI
[MK2] (1967) Propagation of chaos for a class of nonlinear parabolic equations. Lecture series in differential equations. Vol. 7, 41-57, Catholic University, Washington D.C. | MR
[Nev] (1957) Théorie des semi-groupes de Markov. Thèse d'état. University of California. Publications in Statistics.
[Oel] (1984) A martingale approach to the law of large numbers for weakly interacting stochastic processes. The Annals of Probability. Vol. 12, no. 2, pp. 458-479. | MR | Zbl | DOI
[Pri] (1973) Processus de diffusion et équations différentielles stochastiques. Lecture Notes in Mathematics. 390. Springer-Verlag. | MR | Zbl
[Roc] (1970) Convex Analysis. Princeton University Press. | MR | Zbl | DOI
[Spi] (1973) INtroduction aux processus de Markov à paramètres dans . Lecture Notes in Mathematics. 390. Springer-Verlag. | MR | Zbl
[Stv] & (1979). Multidimensional diffusion processes. Springer-Verlag. | MR | Zbl
[Szn] (1983) An example of non-linear diffusion process with normal reflecting boundary conditions and some related limit theorems (à paraitre).
[TaH] & (1981) Central limit theorem for a simple diffusion model of interacting particles. Hiroshima Math. Journal. 11, 415-423. | MR | Zbl | DOI
[Tan] (1982) Limit theorems for certain diffusion processes with interaction, preprint. | MR | Zbl
[Yor] (1974) Existence et unicité de diffusions à valeurs dans un espace de Hilbert. Annales de l'IHP, Section B, Vol. X, no. 1, p 55-88. | MR | Zbl | Numdam
[Yos] (1965) Functional Analysis. Springer-Verlag. | MR





