On periodic Gibbs measures for Potts-SOS model on the Cayley tree

Abstract

In this paper we give a description of periodic Gibbs measures for Potts-SOS model on the Cayley tree of order $k\ge 1$ , i.e. a characterization of such measures with respect to any normal subgroup of finite index of the group representation of a Cayley tree.

arXiv commentarXiv admin note: substantial text overlap with arXiv:math/0409047, arXiv:0812.4644 by other authors