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Ground states for the Potts model with competing interactions and a countable set of spin values on a Cayley tree

G. I. BotirovRomanovskiy Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, UzbekistanUmidjon Usmonaliyevich Qayumov
ABI

Abstract

We construct some finitely periodic ground states for the Potts model with competing interactions and a countable set of spin values on the Cayley tree of order four.

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