Existence of \(p\)-adic quasi Gibbs measure for countable state Potts model on the Cayley tree

DOI10.1186/1029-242X-2012-104zbMath1281.46062arXiv1204.2603WikidataQ59289662 ScholiaQ59289662MaRDI QIDQ371944

Farrukh Mukhamedov

Publication date: 11 October 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2603

zbMATH Keywords

uniquenessGibbs measure\(p\)-adic numbersPotts modelcountable states

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Formally (p)-adic fields (12J12)

Related Items (8)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ p$$ p $$‐Adic phase transitions for countable state Potts model ⋮ The \(p\)-adic Potts model on the Cayley tree of order three ⋮ Phase transitions forp-adic Potts model on the Cayley tree of order three ⋮ On the strong phase transition for the one-dimensional countable statep-adic Potts model ⋮ A \(p\)-adic generalized Gibbs measure for the Ising model on a Cayley tree ⋮ On a generalized \(p\)-adic Gibbs measure for Ising model on trees ⋮ Non periodic \(p\)-adic generalized Gibbs measure for Ising model

Cites Work

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• ULTRAMETRIC RANDOM FIELD
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• Limit behaviour of sums of independent random variables with respect to the uniform \(p\)-adic distribution

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