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 |
| Nashr sanasi | 2025-09-06 |
| Jild | 69 |
| Son | 3 |
| Betlar | 5-14 |
| DOI | 10.29229/uzmj.2025-3-1 |
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
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