\(p\)-adic Gibbs measures and Markov random fields on countable graphs

DOI10.1007/s11232-013-0042-0zbMath1286.82013OpenAlexW2081850254MaRDI QIDQ2449473

Utkir A. Rozikov, Otabek Khakimov

Publication date: 8 May 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-013-0042-0

zbMATH Keywords

graphconfiguration\(p\)-adic Gibbs measure\(p\)-adic Markov random field

Mathematics Subject Classification ID

Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Graph theory (05C99)

Related Items (16)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ On periodic Gibbs measures of \(p\)-adic Potts model on a Cayley tree ⋮ A \(p\)-adic hard-core model with three states on a Cayley tree ⋮ On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ The description of generalized translation-invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three ⋮ \(p\)-adic solid-on-solid model on a Cayley tree ⋮ \(p\)-adic Gibbs measures for the hard core model with three states on the Cayley tree ⋮ \(p\)-adic Gibbs quasimeasures for the Vannimenus model on a Cayley tree ⋮ \(p\)-adic boundary laws and Markov chains on trees ⋮ On the strong phase transition for the one-dimensional countable statep-adic Potts model ⋮ Onp-adic Ising–Vannimenus model on an arbitrary order Cayley tree ⋮ Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree ⋮ Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures ⋮ Non Uniqueness of p-adic Gibbs Distribution for the Ising Model on the Lattice Zd ⋮ On descriptions of all translation invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three

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• On Gibbs measures of \(p\)-adic Potts model on the Cayley tree.
• Gibbs States on Countable Sets
• Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree
• ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE

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