Entropy and global Markov properties

DOI10.1007/BF02125696zbMath0691.60093MaRDI QIDQ582726

A. G. Schlijper, Roelof Kuik, Sheldon Goldstein

Publication date: 1990

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

zbMATH Keywords

equilibrium statessymmetry breakingentropy and free energyglobal Markov properties for classical spin systems

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

Expressing the entropy of lattice systems as sums of conditional entropies ⋮ Local entropy and structure in a two-dimensional frustrated system

Cites Work

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• Some examples concerning the global Markov property
• The global Markov property for equilibrium states which are determined by correlations in a strip
• Markov and stability properties of equilibrium states for nearest- neighbor interactions
• Remarks on the global Markov property
• Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
• Commuting measure-preserving transformations