Decay of correlations under Dobrushin's uniqueness condition and its applications

DOI10.1007/BF01208568zbMath0495.60097OpenAlexW2091200622MaRDI QIDQ1169764

Hans R. Künsch

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01208568

zbMATH Keywords

central limit theoremGibbs random fieldsdecay of correlationDobrushin's uniqueness conditionderivatives of pressure

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

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Cites Work

• Normal fluctuations and the FKG inequalities
• A remark on Dobrushin's uniqueness theorem
• Decay of correlations in classical lattice models at high temperature
• Random fields
• The central limit theorem and the problem of equivalence of ensembles
• The Berry-Esseen theorem for functionals of discrete Markov chains
• Prescribing a System of Random Variables by Conditional Distributions
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