The global Markov property for equilibrium states which are determined by correlations in a strip

DOI10.1007/BF01466768zbMath0639.60107MaRDI QIDQ1099899

Roelof Kuik

Publication date: 1988

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

variational principleglobal Markov propertynearest-neighbor and next-nearest-neighbor pair interactions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Markov processes (60J99)

Related Items (2)

Markov and stability properties of equilibrium states for nearest- neighbor interactions ⋮ Entropy and global Markov properties

Cites Work

• Unnamed Item
• Some examples concerning the global Markov property
• Remarks on the global Markov property
• A remark on Dobrushin's uniqueness theorem
• Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions
• Compactness and the maximal Gibbs state for random Gibbs fields on a lattice

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