In the present paper, we study the existence of periodic p-adic quasi Gibbs measures of p-adic Potts model over the Cayley tree of order two. We first prove that the renormalized dynamical system associated with the model is conjugate to the symbolic shift. As a consequence of this result we obtain the existence of countably many periodic p-adic Gibbs measures for the model.
|Number of pages||11|
|Journal||P-Adic Numbers, Ultrametric Analysis, and Applications|
|Publication status||Published - Jul 1 2016|
- p-adic numbers
- p-adic quasi Gibbs measure
- Potts model
ASJC Scopus subject areas