Classification of fixed points of Potts-Bethe mapping of degree four on Q5

• Main Authors: Ahmad, Mohd. Ali Khameini, Murat Alp, Murat Alp, Mohd. Azahari, Mohammad Azim, Embong, Ahmad Fadillah
• Format: Article
• Language: English
• Published: Universiti Kebangsaan Malaysia 2024
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/108920/1/AhmadFadillah2024_ClassificationofFixedPointsofPottsBethe.pdf; http://eprints.utm.my/108920/; http://dx.doi.org/10.17576/jqma.2002.2024.08

The Potts–Bethe mapping is a rational function arises in the study of the Potts model on the Cayley tree (or Bethe lattice). In this paper, the Potts–Bethe mapping of degree four is con-sidered over the field Q5 of 5-adic numbers. In some regimes (a condition appear in the study of p-adic Potts mode...