The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3)

• Main Authors: Saburov, Mansoor, Ahmad, Mohd Ali Khameini
• Format: Conference or Workshop Item
• Language: English; English
• Published: IOP Publishing 2017
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/57121/1/The%20Potts-Bethe%20Mapping%20---%20JOP.pdf; http://irep.iium.edu.my/57121/7/57121_The%20Dynamics%20of%20The%20Potts_SCOPUS.pdf; http://irep.iium.edu.my/57121/; http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012017/pdf
• Institution: Universiti Islam Antarabangsa Malaysia

In this paper, we study the dynamics of the Potts-Bethe mapping associated with the p-adic q-state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case p = 2 (mod 3) with p > 5.