An ?Inner? Variational Principle for Markov Fields on a Graph

DOI10.1007/BF00535471zbMath0366.60120OpenAlexW156800996MaRDI QIDQ4142477

Hans Föllmer, J. Laurie Snell

Publication date: 1977

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535471

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

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Nonstandard Analysis and Lattice Statistical Mechanics: A Variational Principle ⋮ Extremal inhomogeneous Gibbs states for SOS-models and finite-spin models on trees ⋮ One-Sided Versus Two-Sided Stochastic Descriptions ⋮ Specific characteristics and variational principle for homogeneous random fields ⋮ Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups ⋮ Branching random tessellations with interaction: a thermodynamic view

Cites Work

• Markov random fields on an infinite tree
• Random fields
• Gibbs States on Countable Sets
• On entropy and information gain in random fields
• Observables at infinity and states with short range correlations in statistical mechanics