On periodic Gibbs measures of p-adic Potts model on a Cayley Tree

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 obtai...

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Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Khakimov, Otabek
Format: Article
Language:English
English
Published: Pleiades Publishing, Ltd 2016
Subjects:
Online Access:http://irep.iium.edu.my/51622/1/mfko-p-adicNUA%282016%29.pdf
http://irep.iium.edu.my/51622/4/51622-On%20periodic%20Gibbs%20measures%20of%20p-adic%20Potts%20model%20on%20a%20Cayley%20tree_SCOPUS.pdf
http://irep.iium.edu.my/51622/
http://link.springer.com/article/10.1134/S2070046616030043
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Summary: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.