Geodesic
Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 112-132 
M. A. Rasulova; M. M. Rahmatullaev. Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree. Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 112-132. http://geodesic.mathdoc.fr/item/MT_2015_18_2_a6/
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     title = {Periodic and weakly periodic ground states for the {Potts} model with competing interactions on the {Cayley} tree},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the Potts model with competing interactions on the Cayley tree of order $k$ with $k\geq 2$. We describe the sets of periodic and weakly periodic ground states corresponding to normal subgroups of the group representation of the Cayley tree of index $4$.

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