Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree
M. M. RakhmatullaevNational University of Uzbekistan, Institute of Mathematics, Tashkent, 100125, UzbekistanM. A. RasulovaNamangan State University, Namangan, 716019, Uzbekistan
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Annotatsiya
We consider the Potts model with competing interactions on the Cayley tree of order k with k ≥ 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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