In this paper, we study $p$-adic quasi-Gibbs measures forthe three-state SOS model on a Cayley tree of order two. The existence ofnew translation-invariant $p$-adic quasi-Gibbs measures have been found.Moreover, the boundedness of the found translation-invariant $p$-adic quasi-Gibbs measures is proven.Furthermore, we show if $\left(\frac{\theta_s}{p}\right)=1$, $s$ is even and $p\equiv 1 (\operatorname{mod}6)$,then a phase transition occurs.
| Mualliflar | Akhmedov O.U. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2025-09-06 |
| Jild | 69 |
| Son | 3 |
| Betlar | 5-14 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2025-3-1 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2025-3-1 · Maqolaning asl sahifasi
Cayley tree, configuration, p-adic numbers, p-adic SOS model, p-adic quasi-Gibbs measure, periodic measure
| APA | Akhmedov O.U. (2025). p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree. O‘zbekiston matematika jurnali, 69(3), 5-14. https://doi.org/10.29229/uzmj.2025-3-1 |
|---|---|
| GOST (OAK) | Akhmedov O.U. p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 3. – P. 5-14. – DOI: 10.29229/uzmj.2025-3-1. |
| MLA | Akhmedov O.U. “p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree.” O‘zbekiston matematika jurnali, 69(3), 5-14, 2025. https://doi.org/10.29229/uzmj.2025-3-1 |
| Chicago | Akhmedov O.U. “p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree.” O‘zbekiston matematika jurnali, 69(3), 5-14 (2025). https://doi.org/10.29229/uzmj.2025-3-1 |
| Harvard | Akhmedov O.U (2025) ‘p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree’, O‘zbekiston matematika jurnali, 69(3), 5-14. https://doi.org/10.29229/uzmj.2025-3-1 |
| BibTeX | @article{akhmedovou2025,
title = {p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree},
author = {Akhmedov O.U.},
journal = {O‘zbekiston matematika jurnali},
year = {2025},
volume = {69},
number = {3},
pages = {5-14},
doi = {10.29229/uzmj.2025-3-1},
url = {https://doi.org/10.29229/uzmj.2025-3-1}
} |
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