Large deviations for the empirical field of curie-weiss models∗

DOI10.1080/17442508808833529zbMath0657.60040OpenAlexW2017271296MaRDI QIDQ3805544

Steven Orey

Publication date: 1988

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508808833529

zbMATH Keywords

large deviationstatistical mechanicsCurie-Weiss modelspecific relative entropymulti-spin models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (6)

Generalized Curie-Weiss Model and Quadratic Pressure in Ergodic Theory ⋮ An overview of the theory of large deviations and applications to statistical mechanics ⋮ Limit theorems for the empirical vector of the Curie-Weiss-Potts model ⋮ Limit theorems for maximum likelihood estimators in the Curie-Weiss-Potts model ⋮ Weak ergodicity and products of random matrices ⋮ Maximum entropy principles for disordered spins

Cites Work

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• Laplace approximations for sums of independent random vectors. II: Degenerate maxima and manifolds of maxima
• Large deviations for the empirical field of a Gibbs measure
• Random fields
• Asymptotic evaluation of certain markov process expectations for large time. IV
• On entropy and information gain in random fields
• Laplace approximations for sums of independent random vectors
• Large deviations for Gibbs random fields

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