The global Markov property for lattice systems

DOI10.1016/0047-259X(81)90100-7zbMath0496.60047OpenAlexW1997710669MaRDI QIDQ1169974

Raphael J. Høegh-Krohn, Sergio A. Albeverio, Gunnar Olsen

Publication date: 1981

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(81)90100-7

zbMATH Keywords

lattice systemsclassical statistical mechanicshomogeneous random fieldsIsing models transfer matrixlocal and global Markov propertyuniqueness of Gibbs states

Mathematics Subject Classification ID

Random fields (60G60) Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

Nonstandard conditions for the global Markov property for lattice fields ⋮ Attractiveness of interactions for binary lattice systems and the global Markov property ⋮ Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions ⋮ Remarks on the global Markov property ⋮ Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions ⋮ Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion ⋮ Unnamed Item ⋮ Local and global Markoff fields ⋮ Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction ⋮ Examples of extremal lattice fields without the global Markov property

Cites Work

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