The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three

• المؤلفون الرئيسيون: Alp, M., Pah, Chin Hee, Saburov, M. K.
• التنسيق: مقال
• اللغة: English
• منشور في: Pleiades Publishing 2023
• الموضوعات: QA300 Analysis
• الوصول للمادة أونلاين: http://irep.iium.edu.my/104186/2/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic.pdf; http://irep.iium.edu.my/104186/; https://link.springer.com/article/10.1134/S0040577923030066; https://www.doi.org/10.1134/S0040577923030066

We describe generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three, confirming and extending the related results in the literature. We introduce a cube root function over the p-adic field Qp, which enables us to explicitly prescribe all roots of...