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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2016
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| 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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my.iium.irep.516222017-03-21T10:38:38Z http://irep.iium.edu.my/51622/ On periodic Gibbs measures of p-adic Potts model on a Cayley Tree Mukhamedov, Farrukh Khakimov, Otabek QA Mathematics 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. Pleiades Publishing, Ltd 2016-07 Article REM application/pdf en http://irep.iium.edu.my/51622/1/mfko-p-adicNUA%282016%29.pdf application/pdf en http://irep.iium.edu.my/51622/4/51622-On%20periodic%20Gibbs%20measures%20of%20p-adic%20Potts%20model%20on%20a%20Cayley%20tree_SCOPUS.pdf Mukhamedov, Farrukh and Khakimov, Otabek (2016) On periodic Gibbs measures of p-adic Potts model on a Cayley Tree. p-Adic Numbers, Ultrametric Analysis and Applications, 8 (3). pp. 225-235. ISSN 2070-0466 http://link.springer.com/article/10.1134/S2070046616030043 10.1134/S2070046616030043 |
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QA Mathematics Mukhamedov, Farrukh Khakimov, Otabek On periodic Gibbs measures of p-adic Potts model on a Cayley Tree |
| description |
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. |
| format |
Article |
| author |
Mukhamedov, Farrukh Khakimov, Otabek |
| author_facet |
Mukhamedov, Farrukh Khakimov, Otabek |
| author_sort |
Mukhamedov, Farrukh |
| title |
On periodic Gibbs measures of p-adic Potts model
on a Cayley Tree |
| title_short |
On periodic Gibbs measures of p-adic Potts model
on a Cayley Tree |
| title_full |
On periodic Gibbs measures of p-adic Potts model
on a Cayley Tree |
| title_fullStr |
On periodic Gibbs measures of p-adic Potts model
on a Cayley Tree |
| title_full_unstemmed |
On periodic Gibbs measures of p-adic Potts model
on a Cayley Tree |
| title_sort |
on periodic gibbs measures of p-adic potts model
on a cayley tree |
| publisher |
Pleiades Publishing, Ltd |
| publishDate |
2016 |
| url |
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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