\(p\)-adic Gibbs measures for the hard core model with three states on the Cayley tree

DOI10.1007/s11232-013-0107-0zbMath1303.82012OpenAlexW2112951343MaRDI QIDQ461538

Otabek Khakimov

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-013-0107-0

zbMATH Keywords

configurationCayley treeGibbs measure\(p\)-adic numbertranslation-invariant measurehard core \(G\)-model

Mathematics Subject Classification ID

Trees (05C05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ A \(p\)-adic hard-core model with three states on a Cayley tree ⋮ \(p\)-adic solid-on-solid model on a Cayley tree ⋮ A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree ⋮ Non periodic \(p\)-adic generalized Gibbs measure for Ising model ⋮ On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree

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• On Gibbs measures of \(p\)-adic Potts model on the Cayley tree.
• \(p\)-adic Gibbs measures and Markov random fields on countable graphs
• A Three State Hard-Core Model on a Cayley Tree

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