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Existence theorems for infinite particle systems. (English) Zbl 0239.60072

MSC:
60J35 Transition functions, generators and resolvents
60J25 Continuous-time Markov processes on general state spaces
47D03 Groups and semigroups of linear operators
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[1] R. M. Blumenthal and R. K. Getoor, Markov processes and potential theory, Pure and Applied Mathematics, Vol. 29, Academic Press, New York-London, 1968. · Zbl 0169.49204
[2] R. L. Dobrushin, I. I. Pjatetskii-Shapiro and N. B. Vasilev, Markov processes in an infinite product of discrete spaces, Soviet-Japanese Symposium in Probability Theory, Khabarovsk, U.S.S.R., 1969.
[3] T. E. Harris, Nearest-neighbor Markov interaction processes on multidimensional lattices, Advances in Math. 9 (1972), 66 – 89. · Zbl 0267.60107 · doi:10.1016/0001-8708(72)90030-8 · doi.org
[4] Richard Holley, A class of interactions in an infinite particle system, Advances in Math. 5 (1970), 291 – 309 (1970). · Zbl 0219.60054 · doi:10.1016/0001-8708(70)90035-6 · doi.org
[5] -, Free energy in a Markovian model of a lattice spin system (to appear).
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