Classification of fixed points of Potts–Bethe Mapping of degree four on Q5

• Main Authors: Mohd Ali Khameini Ahmad, Alp, Murat, Mohammad Azim Mohd Azahari, Ahmad Fadillah Embong
• Format: Article
• Language: English
• Published: Penerbit Universiti Kebangsaan Malaysia 2024
• Online Access: http://journalarticle.ukm.my/24107/1/105_110%20Paper_8.pdf; http://journalarticle.ukm.my/24107/; http://www.ukm.my/jqma
• Institution: Universiti Kebangsaan Malaysia

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 considered over the field Q5 of 5-adic numbers. In some regimes (a condition appear in the study of p-adic Potts model...