Geodesic
On ground states for the SOS model with competing interactions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 2, pp. 162-175

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We study periodic and weakly periodic ground states for the SOS model with competing interactions on the Cayley tree of order two and three. Further, we study non periodic ground states for the SOS model with competing interactions on the Cayley tree of order two.
Keywords: Cayley tree, SOS model, periodic and weakly periodic ground states. 
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     title = {On ground states for the {SOS} model with competing interactions},
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Muzaffar M. Rahmatullaev; Bunyod U. Abraev. On ground states for the SOS model with competing interactions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 2, pp. 162-175. http://geodesic.mathdoc.fr/item/JSFU_2022_15_2_a2/