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

DOI10.1016/j.na.2009.04.021zbMath1185.46051OpenAlexW2016276123MaRDI QIDQ732565

Andrei Yu. Khrennikov, Farrukh Mukhamedov

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.021

zbMATH Keywords

uniquenessGibbs measure\(p\)-adic numbersPotts model

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

Related Items

Extremality of some Gibbs measures for the Blume–Capel HC-model on a Cayley tree, Chaos in p-adic Statistical Lattice Models: Potts Model, Existence of \(p\)-adic quasi Gibbs measure for countable state Potts model on the Cayley tree, On non-Archimedean recurrence equations and their applications, Parabolic type equations and Markov stochastic processes on adeles, 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, Recurrence equations over trees in a non-Archimedean context

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