Existence of the transfer matrix formalism for a class of classical continuous gases

DOI10.1007/BF01042597zbMath0714.60093MaRDI QIDQ751079

Roman Gielerak

Publication date: 1989

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

transfer matrixGibbs measureglobal Markov propertygrand canonical Gibbs ensemble

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Strong interaction, including quantum chromodynamics (81V05) Markov processes (60J99)

Cites Work

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• Examples of extremal lattice fields without the global Markov property
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• 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
• Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics
• Random point processes and DLR equations
• Gibbsian random fields for particles without hard core
• Gibbsian random fields. The general case
• Superstable interactions in classical statistical mechanics
• Free energy density for continuous systems with and without superstability assumptions
• Integral and Differential Characterizations of the GIBBS Process

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