Nucleation for a long range magnetic model
Annales de l'I.H.P. Probabilités et statistiques, Volume 23 (1987) no. 2, pp. 135-178.
@article{AIHPB_1987__23_2_135_0,
     author = {Comets, Francis},
     title = {Nucleation for a long range magnetic model},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {135--178},
     publisher = {Gauthier-Villars},
     volume = {23},
     number = {2},
     year = {1987},
     mrnumber = {891708},
     zbl = {0633.60110},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1987__23_2_135_0/}
}
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Comets, Francis. Nucleation for a long range magnetic model. Annales de l'I.H.P. Probabilités et statistiques, Volume 23 (1987) no. 2, pp. 135-178. http://archive.numdam.org/item/AIHPB_1987__23_2_135_0/

[1] R. Azencott, Cours à Saint-Flour. Lect. Notes in Math., 1978, p. 774. | Zbl

[2] R. Azencott, R. Ruget, Mélanges d'équations différentielles et grands écarts à la loi des grands nombres. Z. Wahr. th. verw. Geb., t. 38, 1977, p. 1. | Zbl

[3] J. Bretagnolle, in Séminaire d'Orsay : Grandes déviations et applications statistiques. Astérisque, n° 68, 1978.

[4] M. Cassandro, A. Galves, E. Olivieri, M.E. Vares, Metastable behavior of stochastic dynamics: a pathwise approach. Prep. I. M. P. A., Rio de Janeiro, série BO13/83, 1983. | MR

[5] F. Comets, Thèse de 3e cycle. Étude d'un modèle d'Ising de champ moyen, à l'aide de technique de Grandes déviations. Nucléation, n° 3696, Orsay, 1984.

[6] F. Comets, T. Eisele, M. Schatzman, On secondary bifurcations for some non-linear convolution equation. Trans. Amer. Math. Soc., t. 296, n° 2, 1986, p. 661. | MR | Zbl

[7] D. Dacunha-Castelle, M. Duflo, Probabilités et Statistiques, t. 2, Masson, 1983. | MR | Zbl

[8] D. Dawson, J. Gartner, Large deviations from the McKean-Vaslov limit for weakly interacting diffusions, 1984, to appear in Stochastics. | MR | Zbl

[9] C. Dellacherie, P.A. Meyer, Probabilités et Potentiel. Hermann, 1975. | MR | Zbl

[10] N. Dunford, J. Schwartz, Linear operators. Wiley, 1963.

[11] T. Eisele, R.S. Ellis, Symmetry breaking and random waves for magnetic systems on a circle. Z. Wahr. th. verw. Geb., t. 63, 1983, p. 297. | MR | Zbl

[12] R.S. Ellis, C.M. Newman, Limit theorems for sums of dependent random variables occuring in statistical mechanics. Z. Wahr. th. verw. Geb., t. 44, 1978, 1978, p. 117. | MR | Zbl

[13] R.S. Ellis, C.M. Newman, J.S. Rosen, Limit theorems for sum of dependent random variables occuring in statistical mechanics II. Z. Wahr. th. verw. Geb., t. 51, 1980, p. 153. | MR | Zbl

[14] W. Faris, G. Jona-Lasinio, Large fluctuations for a nonlinear heat equation with noise. J. Phys. A., Math. Gen., t. 15, 1982. | MR | Zbl

[15] M.I. Freidlin, A.D. Wentzell, Random perturbations of dynamical systems. Springer Verlag, 1983. | MR | Zbl

[16] J. Gartner, On large deviations from the invariant measure. Th. of Proba. and Applic., t. 22, 1977, p. 42. | MR | Zbl

[17] R. Glauber, Tim dependent statistics of the Ising model. J. Math. Physics, t. 4, n° 2, 1963, p. 294. | MR | Zbl

[18] R.B. Griffiths, C. Weng, J.S. Langer, Relaxation times for metastable states in the mean-field model of a ferromagnet. Phys. Rev., t. 149, n° 1, 1966.

[19] R.A. Holley, D.W. Stroock, A martingale approach to infinite systems of interacting processes. Ann. Proba., t. 4, n° 2, 1976, p. 195. | MR | Zbl

[20] J. Jacod, Multivariate point processes: predictable projection. Radon Nikodym derivatives representation of martingales. Z. Wahr. th. verw. Geb., t. 31, 1975. | MR | Zbl

[21] G.J.O. Jameson, Topology and normed spaces. London, Chapman and Hall, 1974. | MR | Zbl

[22] C. Kipnis, Processus de champ moyen : existence, unicité, mesures invariantes et limites thermodynamiques. Stochastics, t. 5, 1981, p. 93. | MR | Zbl

[23] O. Penrose, Kinetics of phase transition. Proc. in Sitges. Lect. Notes in Phys., t. 84, 1978. | MR

[24] G. Ruget, Sur la nucléation. Exposé à Clermont-Ferrand, 1982.

[25] F. Spitzer, Cours à Saint-Flour. Lect. Notes in Math., t. 390, 1973. | Zbl

[26] C. Thompson, Mathemâtical statistical mechanics. New York, Macmillan, 1972. | MR | Zbl

[27] A.D. Ventsel, Rough limit theorems on large deviations for Markov stochastic processes. Th. of Proba. and Appl., t. 21, n° II, 1976, p. 227 et n° III, p. 499. | Zbl