On free energies of the Potts model on the Cayley tree

U. A. Rozikov, M. M. Rahmatullaev

Published 2014-04-23Version 1

For the Potts model on the Cayley tree, some explicit formulae of the free energies and entropies (according to vector-valued boundary conditions (BCs)) are obtained. They include translation-invariant, periodic, Dobrushin-like BCs, as well as those corresponding to weakly periodic Gibbs measures.