Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree
M. M. RahmatullaevRomanovskii Institute of Mathematics of the Academy of Sciences of Uzbekistan, Tashkent, 100174, UzbekistanM. A. RasulovaNamangan State University, Namangan, 160119, Uzbekistan
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Annotatsiya
For the Potts model with external field and a countable set of spin values on the Cayley tree of order $$k\ge2$$ , the set of periodic ground states corresponding to normal divisors of indices 2 and 4 of the group presentation of the Cayley tree is described and the set of nonperiodic ground states is studied.
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