A variational characterization of one-dimensional countable state Gibbs random fields

DOI10.1007/BF00531778zbMath0556.60042MaRDI QIDQ3219549

B. M. Gurevich

Publication date: 1984

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

zbMATH Keywords

entropyPerron-Frobenius theoryGibbs variational principlespecific energy

Mathematics Subject Classification ID

Random fields (60G60) 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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Cites Work

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• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• A Variational Characterization of Finite Markov Chains
• On entropy and information gain in random fields
• Observables at infinity and states with short range correlations in statistical mechanics

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