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arXiv:1610.09466 [math.DS]AbstractReferencesReviewsResources

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

Mansoor Saburov, Mohd Ali Khameini Ahmad

Published 2016-10-29Version 1

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 $p\geq5$.

Comments: 15 pages
Categories: math.DS, math-ph, math.MP, nlin.SI
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