Free energies of the Potts model on a Cayley tree
U. A. RozikovInstitute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, UzbekistanM. M. RakhmatullaevInstitute of Mathematics, Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
ABI
Аннотация
For the Potts model on the Cayley tree, we obtain some explicit formulas for the free energies and entropies in the case of vector-valued boundary conditions. These formulas include translation-invariant, periodic, and Dobrushin-like boundary conditions and also those corresponding to weakly periodic Gibbs measures.
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