A strong variational principle for continuous spin systems

DOI10.2307/3212923zbMath0431.60097OpenAlexW2333232602MaRDI QIDQ3868585

Marc Pirlot

Publication date: 1980

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3212923

zbMATH Keywords

variational principleequilibrium statistical mechanicsunbounded spins system

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Thermodynamics and heat transfer (80A99)

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Relative entropy and variational properties of generalized Gibbsian measures. ⋮ One-dimensional DLR invariant measures are regular ⋮ A variational characterization of one-dimensional countable state Gibbs random fields ⋮ Specific characteristics and variational principle for homogeneous random fields ⋮ Thermodynamics and statistical analysis of Gaussian random fields ⋮ Almost sure entropy and the variational principle for random fields with unbounded state space ⋮ Some old and new problems in thermodynamic formalism of infinite state Markov chains

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