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Processus de diffusion associe aux mesures de Gibbs sur \(\mathbb{R}^{\mathbb{Z}^d}\). (French) Zbl 0384.60076

MSC:
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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[1] Bourbaki: Intégration; chapitre IX, § 5, exercice 10-c.
[2] Doss, H.: Quelques propriétés des processus de diffusion à valeur dans un espace de Hilbert; thèse de 3é cycle, Université de Paris 6. (1975)
[3] Bourbaki: Topologie générale, chapitre IX, § 6, n? 7.
[4] Cassandro, M., Olivieri, E., Pellegrinotti, A., Presutti, E.: Existence and uniqueness of D.L.R measures for unbounded spin systems; preprint, Université dell’Aquila, n? 4-77 (1977)
[5] Holley, R.A., Stroock, D.W.: A martingale approach to infinite systems of interacting processes; Ann Probability 4, 195 (1976) · Zbl 0332.60072 · doi:10.1214/aop/1176996130
[6] Lang, R.: Unendlich-dimensionale Wienerprozesse mit Wechselwirkung (I). Z. Wahrscheinlichkeitstheorie verw. Gebiete 38, 55 (1977) · Zbl 0349.60103 · doi:10.1007/BF00534170
[7] Lebowitz, J.L., Presutti, E.: Statistical mechanics of systems of unbounded spins. Comm. Math. Phys. 50, 195 (1976) · doi:10.1007/BF01609401
[8] McKean, H.P.: Stochastic integrals; New York: Academic press 1969 · Zbl 0191.46603
[9] Priouret, P., Yor, M.: Processus de diffusion à valeurs dans ? et mesures quasi-invariantes sur C(?; ?). Astérisque 22-23 (1975) · Zbl 0316.60051
[10] Ruelle, D.: Probability estimales for continuous spin systems. Comm. Math. Phys. 50, 189 (1976) · doi:10.1007/BF01609400
[11] Royer, G.: Processus de diffusion associé à certains modèles d’Ising à spins continus. Z. Wahrscheinlichkeitstheorie verw. Gebiete [A paraître] · Zbl 0377.60088
[12] Royer, G.: Etude du champ euclidien sur un réseau \(\mathbb{Z}^v \) . J. Math. Pures Appl. 56, 455 (1977)
[13] Föllmer, H.: Phase transition and Martin boundary. Sem. Probabilités Strasbourg IX. Lect. Notes in Math. 465, 305. Berlin-Heidelberg-New York: Springer 1975 · Zbl 0367.60112
[14] Nelson, E.: Probability theory and euclidean field theory. In Constructive field theory. Lect. Notes in Phys. 25, 94. Berlin-Heidelberg-New York: Springer 1973 · Zbl 0367.60108
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