Abstract
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.
Original language | English |
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Pages (from-to) | 225-235 |
Number of pages | 11 |
Journal | P-Adic Numbers, Ultrametric Analysis, and Applications |
Volume | 8 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jul 1 2016 |
Externally published | Yes |
Keywords
- p-adic numbers
- p-adic quasi Gibbs measure
- periodic
- Potts model
- shift
ASJC Scopus subject areas
- Mathematics(all)