Almost sure entropy and the variational principle for random fields with unbounded state space

DOI10.1007/BF00536196zbMath0473.60049MaRDI QIDQ3927985

Hans R. Künsch

Publication date: 1981

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

zbMATH Keywords

energyentropypressureunbounded spin systemsGibbs statesinformation gainGibbs variational principle

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical thermodynamics (82B30)

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Entropic repulsion of the lattice free field, Anisotropic scaling limits of long-range dependent linear random fields on \(\mathbb{Z}^3\), Specific characteristics and variational principle for homogeneous random fields, Renormalizing the renormalization group pathologies, The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma, Anisotropic scaling limits of long-range dependent random fields, Thermodynamics and statistical analysis of Gaussian random fields, Weakly Gibbsian measures for lattice spin systems

Cites Work

• Unnamed Item
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• Random fields
• Superstable interactions in classical statistical mechanics
• A strong variational principle for continuous spin systems
• Ergodic theorems for spatial processes
• On Gaussian Fields with Given Conditional Distributions
• On entropy and information gain in random fields
• Observables at infinity and states with short range correlations in statistical mechanics