The Dynamics of The Potts-Bethe Mapping over p : The Case p ≡ 2 (mod 3)

37th International Conference on Quantum Probability and Related Topics

Saburov, Mansoor^1 ; Ahmad, Mohd Ali Khameini^1

Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, Pahang, Kuantan

25200, Malaysia^1

关键词: Cayley trees;    Q-state Potts model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/819/1/012017/pdf
DOI  :  10.1088/1742-6596/819/1/012017

来源: IOP

【 摘 要 】

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.