Combinatorial approach to the description of random fields

DOI10.1134/S1995080221100103OpenAlexW3206007009MaRDI QIDQ2242583

L. A. Khachatryan, Boris S. Nahapetian

Publication date: 10 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1995080221100103

zbMATH Keywords

random fieldcorrelation functionsspecificationQ-functionGibbs random fieldP-function

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Description of random fields by systems of conditional distributions

Cites Work

• Description of random fields by means of one-point finite-conditional distributions
• Inclusion-exclusion and point processes
• Gibbsian random fields for lattice systems with pairwise interactions.
• Inclusion-exclusion description of random fields
• Realizability of point processes
• Description of specifications by means of probability distributions in small volumes under condition of very weak positivity
• Gibbs' limit distribution
• On the relationship of energy and probability in models of classical statistical physics
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