On a class of infinite systems of linear equations originating in statistical physics

DOI10.1134/S1995080219080146zbMath1448.60188OpenAlexW2972167205WikidataQ127307953 ScholiaQ127307953MaRDI QIDQ2010162

L. A. Khachatryan, Boris S. Nahapetian

Publication date: 3 December 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219080146

zbMATH Keywords

specificationGibbs random fieldinfinite system of linear equationstransition energy field

Mathematics Subject Classification ID

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

Related Items (1)

Description of random fields by systems of conditional distributions

Cites Work

• Gibbsian random fields for lattice systems with pairwise interactions.
• Gibbs measures and phase transitions
• Description of specifications by means of probability distributions in small volumes under condition of very weak positivity
• Thermodynamic Formalism
• Prescribing a System of Random Variables by Conditional Distributions
• Observables at infinity and states with short range correlations in statistical mechanics
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