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arXiv · 1610.09466

The Dynamics of The Potts-Bethe Mapping over $\mathbb{Q}_p:$ The Case $p\equiv 2 \ (mod \ 3) $

Mansoor Saburov·Mohd Ali Khameini Ahmad
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Abstract

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 $p\equiv 2 \ (mod \ 3)$ with $p\geq5$.

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BibTeXRIS

Mansoor Saburov, Mohd Ali Khameini Ahmad. 2016-10-29. The Dynamics of The Potts-Bethe Mapping over $\mathbb{Q}_p:$ The Case $p\equiv 2 \ (mod \ 3) $. https://doi.org/10.1088/1742-6596/819/1/012017

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