Article

On Some p-adic Quasi-Gibbs Measures for the Three-State SOS Model with External Field on a Binary Tree

M. M. RahmatullaevV.I. Romanovskiy Institute of MathematicsОлимхон АхмедовFerghana State University

Markov Processes And Related Fieldsjournal2025en

ABI

Abstract

We consider a three-state solid-on-solid (SOS) model in the presence of nonzero external field on a Cayley tree. We find all the translation-invariant p-adic quasi Gibbs measures (TIpQGMs) of the model. Using the boundedness of these measures, we establish the occurrence of a phase transition.

Topics

advanced mathematical theories Stochastic processes and statistical mechanics Random Matrices and Applications

Identifiers

DOI: 10.61102/1024-2953-mprf.2025.31.2.002

Citations and references

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