The global Markov property for lattice systems

S. Albeverio, R. Høegh-Krohn and G. Olsen

Journal of Multivariate Analysis, 1981, vol. 11, issue 4, 599-607

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 (search for similar items in EconPapers)
Date: 1981
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