Description of all translation-invariant $p$-adic Gibbs measures for the   Potts model on a Cayley tree
  Recently it was proved that usual (real) Potts model on a Cayley tree has up to $2^q-1$ translation-invariant Gibbs measures. This paper is devoted to description of translation- invariant $p$-adic Gibbs measures (TIpGMs) of the $p$-adic Potts model. In particular, for the Cayley tree of order two we give exact number of such measures. Mereover we give criterion of boundedness of TIpGMs. 
U. A. Rozikov, O. N. Khakimov
math-ph math.MP