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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Pleiades Publishing, Ltd
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51622/ http://irep.iium.edu.my/51622/ http://irep.iium.edu.my/51622/ 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 |
| 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. |
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