The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three
We describe generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three, confirming and extending the related results in the literature. We introduce a cube root function over the p-adic field Qp, which enables us to explicitly prescribe all roots of...
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Pleiades Publishing
2023
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| Online Access: | http://irep.iium.edu.my/104186/2/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic.pdf http://irep.iium.edu.my/104186/8/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic_SCOPUS.pdf http://irep.iium.edu.my/104186/ https://link.springer.com/article/10.1134/S0040577923030066 https://www.doi.org/10.1134/S0040577923030066 |
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my.iium.irep.1041862024-05-09T04:25:25Z http://irep.iium.edu.my/104186/ The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three Alp, M. Pah, Chin Hee Saburov, M. K. QA300 Analysis We describe generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three, confirming and extending the related results in the literature. We introduce a cube root function over the p-adic field Qp, which enables us to explicitly prescribe all roots of the cubic monomial equation over Qp Pleiades Publishing 2023-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/104186/2/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic.pdf application/pdf en http://irep.iium.edu.my/104186/8/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic_SCOPUS.pdf Alp, M. and Pah, Chin Hee and Saburov, M. K. (2023) The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three. Theoretical and Mathematical Physics, 214 (3). pp. 406-420. ISSN 0040-5779 E-ISSN 1573-9333 https://link.springer.com/article/10.1134/S0040577923030066 https://www.doi.org/10.1134/S0040577923030066 |
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QA300 Analysis Alp, M. Pah, Chin Hee Saburov, M. K. The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three |
| description |
We describe generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three, confirming and extending the related results in the literature. We introduce a cube root function over the p-adic field Qp, which enables us to explicitly prescribe all roots of the cubic monomial
equation over Qp |
| format |
Article |
| author |
Alp, M. Pah, Chin Hee Saburov, M. K. |
| author_facet |
Alp, M. Pah, Chin Hee Saburov, M. K. |
| author_sort |
Alp, M. |
| title |
The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three |
| title_short |
The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three |
| title_full |
The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three |
| title_fullStr |
The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three |
| title_full_unstemmed |
The description of generalized translation-invariant p-adic Gibbs measures for the Potts model on the Cayley tree of order three |
| title_sort |
description of generalized translation-invariant p-adic gibbs measures for the potts model on the cayley tree of order three |
| publisher |
Pleiades Publishing |
| publishDate |
2023 |
| url |
http://irep.iium.edu.my/104186/2/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic.pdf http://irep.iium.edu.my/104186/8/104186_The%20description%20of%20generalized%20translation-invariant%20p-adic_SCOPUS.pdf http://irep.iium.edu.my/104186/ https://link.springer.com/article/10.1134/S0040577923030066 https://www.doi.org/10.1134/S0040577923030066 |
| _version_ |
1800081754019594240 |
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13.159267 |