O‘zbekiston matematika jurnali 69-том 3-сан (2025) · 5-14-беттер

p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree

Akhmedov O.U.

Булактан окуу

Аннотация

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.

Cayley tree, configuration, p-adic numbers, p-adic SOS model, p-adic quasi-Gibbs measure, periodic measure

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Цитата алуу

APA 7 
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.
GOST R 7.0.5 
Akhmedov O.U. p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree // O‘zbekiston matematika jurnali. 2025. Т. 69. № 3. С. 5-14.
BibTeX 
@article{o.u.2025,
  author  = {Akhmedov O.U.},
  title   = {p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {3},
  pages   = {5-14}
}
RIS 
TY  - JOUR
AU  - Akhmedov O.U.
TI  - p-adic quasi-Gibbs measures for the three-state SOS model on the binary tree
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 3
SP  - 5
EP  - 14
ER  -