Periodic and weakly periodic ground states for the Potts model with competing interactions on the Cayley tree |
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| Authors: | M M Rakhmatullaev M A Rasulova |
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| Institution: | 1.National University of Uzbekistan,Institute of Mathematics,Tashkent,Uzbekistan;2.Namangan State University,Namangan,Uzbekistan |
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| Abstract: | 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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