The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3)
In this paper, we study the dynamics of the Potts-Bethe mapping associated with the p-adic q-state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case p = 2 (mod 3) with p > 5.
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IOP Publishing
2017
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| Online Access: | http://irep.iium.edu.my/57121/ http://irep.iium.edu.my/57121/1/The%20Potts-Bethe%20Mapping%20---%20JOP.pdf http://irep.iium.edu.my/57121/7/57121_The%20Dynamics%20of%20The%20Potts_SCOPUS.pdf |
| _version_ | 1848784869650333696 |
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| author | Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_facet | Saburov, Mansoor Ahmad, Mohd Ali Khameini |
| author_sort | Saburov, Mansoor |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, we study the dynamics of the Potts-Bethe mapping associated with the p-adic q-state Potts model over the Cayley tree of order three. Namely, we establish the
regularity of the Potts-Bethe mapping for the case p = 2 (mod 3) with p > 5. |
| first_indexed | 2025-11-14T16:44:06Z |
| format | Proceeding Paper |
| id | iium-57121 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:44:06Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-571212018-03-23T00:11:30Z http://irep.iium.edu.my/57121/ The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) Saburov, Mansoor Ahmad, Mohd Ali Khameini QA Mathematics In this paper, we study the dynamics of the Potts-Bethe mapping associated with the p-adic q-state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case p = 2 (mod 3) with p > 5. IOP Publishing 2017-04-03 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/57121/1/The%20Potts-Bethe%20Mapping%20---%20JOP.pdf application/pdf en http://irep.iium.edu.my/57121/7/57121_The%20Dynamics%20of%20The%20Potts_SCOPUS.pdf Saburov, Mansoor and Ahmad, Mohd Ali Khameini (2017) The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3). In: 37th International Conference on Quantum Probability and Related Topics (QP37) 2016, 22nd-26th August 2016, Kuantan, Pahang, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/819/1/012017/pdf 10.1088/1742-6596/819/1/012017 |
| spellingShingle | QA Mathematics Saburov, Mansoor Ahmad, Mohd Ali Khameini The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| title | The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| title_full | The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| title_fullStr | The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| title_full_unstemmed | The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| title_short | The dynamics of the Potts-Bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| title_sort | dynamics of the potts-bethe mapping over ℚ_p: the case p ≡ 2 (mod 3) |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/57121/ http://irep.iium.edu.my/57121/ http://irep.iium.edu.my/57121/ http://irep.iium.edu.my/57121/1/The%20Potts-Bethe%20Mapping%20---%20JOP.pdf http://irep.iium.edu.my/57121/7/57121_The%20Dynamics%20of%20The%20Potts_SCOPUS.pdf |