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The global Markov property for lattice systems |
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| Authors: | S Albeverio R Hegh-Krohn G Olsen |
| Institution: | 1. Fakultät für Mathematik, Universität Bielefeld, Germany;2. Matematisk Institutt, Universitetet i Oslo Norway |
| Abstract: | We prove the global Markov property for lattice systems of classical statistical mechanics, with bounded spins and finite range interactions. The method uses the one developed by two of us to prove the global Markov property of Euclidean generalized random fields. The result shows that the systems considered have a transition matrix, which together with a distribution on a hyperplane, describes completely the system. |
| Keywords: | Local and global Markov property homogeneous random fields uniqueness of Gibbs states lattice systems Ising models transfer matrix classical statistical mechanics |
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