Uniqueness of Gibbs measures and absorption probabilities

DOI10.1214/AOP/1176991162zbMath0692.60086OpenAlexW2014968335MaRDI QIDQ583746

Henry Berbee

Publication date: 1989

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991162

zbMATH Keywords

dualityIsing modelMarkov operatorpositive operatorabsorbing stateUniqueness of Gibbs measures

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) Applications of operator algebras to the sciences (47L90) Phase transitions (general) in equilibrium statistical mechanics (82B26) Probabilistic measure theory (60A10)

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Unique Bernoulli \(g\)-measures ⋮ Phase transitions in long-range Ising models and an optimal condition for factors of -measures

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