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Markov property of extremal local fields. (English) Zbl 0406.60062


MSC:

60J05 Discrete-time Markov processes on general state spaces
60J25 Continuous-time Markov processes on general state spaces
60K35 Interacting random processes; statistical mechanics type models; percolation theory
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[1] N. Dang Ngoc and M. Yor, Champs markoviens et mesures de Gibbs sur \?, Ann. Sci. École Norm. Sup. (4) 11 (1978), no. 1, 29 – 69 (French, with English summary). · Zbl 0391.60013
[2] H. Föllmer, Phase transition and Martin boundary, Séminaire Probabilités Strasbourg IX, Lecture Notes in Math., Springer-Verlag, Berlin and New York, 1976.
[3] Jacques Neveu, Bases mathématiques du calcul des probabilités, Préface de R. Fortet. Deuxième édition, revue et corrigée, Masson et Cie, Éditeurs, Paris, 1970 (French). · Zbl 0137.11203
[4] G. Royer and M. Yor, Représentation intégrale de certaines mesures quasi-invariantes sur \cal\?(\?); mesures extrémales et propriété de Markov, Ann. Inst. Fourier (Grenoble) 26 (1976), no. 2, ix, 7 – 24 (French, with English summary). · Zbl 0295.28025
[5] Frank Spitzer, Phase transition in one-dimensional nearest-neighbor systems, J. Functional Analysis 20 (1975), no. 3, 240 – 255. · Zbl 0333.60063
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