On Some p-adic Quasi-Gibbs Measures for the Three-State SOS Model with External Field on a Binary Tree
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.
Authors
- M. M. Rahmatullaev (ORCID: https://orcid.org/0000-0003-2987-7714)
- Олимхон Ахмедов
Institutions
- Ferghana State University (UZ)
- Romodanov Neurosurgery Institute of the National Academy of Medical Sciences of Ukraine (UA)
Publication Details
- Journal
- Markov Processes And Related Fields
- Published
- 2025-11-11
- DOI
- https://doi.org/10.61102/1024-2953-mprf.2025.31.2.002
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00