The Dynamics of The Potts-Bethe Mapping over $\mathbb{Q}_p:$ The Case $p\equiv 2 \ (mod \ 3) $
Dynamical Systems
2017-04-26 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper, we study the dynamics of the Potts-Bethe mapping associated with the adic state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case with .
Cite
@article{arxiv.1610.09466,
title = {The Dynamics of The Potts-Bethe Mapping over $\mathbb{Q}_p:$ The Case $p\equiv 2 \ (mod \ 3) $},
author = {Mansoor Saburov and Mohd Ali Khameini Ahmad},
journal= {arXiv preprint arXiv:1610.09466},
year = {2017}
}
Comments
15 pages