On free energies of the Potts model on the Cayley tree
  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. 
U. A. Rozikov, M.M. Rahmatullaev
math-ph math.MP