Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree
In the present article, we provide a new construction of measure, called p-adic quasi Gibbs measure, for countable state of p-adic Potts model on the Cayley tree. Such a construction depends on a parameter p and wights. In particular case, i.e., if p = exp_p, the defined measure coincides with p-...
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| Format: | Article |
| Language: | English |
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Springer Link
2012
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| Online Access: | http://irep.iium.edu.my/24952/ http://irep.iium.edu.my/24952/1/mf-JInqApp%282012%29.pdf |
| _version_ | 1848779382783475712 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present article, we provide a new construction of measure, called p-adic quasi
Gibbs measure, for countable state of p-adic Potts model on the Cayley tree. Such a
construction depends on a parameter p and wights. In particular case, i.e., if p = exp_p,
the defined measure coincides with p-adic Gibbs measure. In this article, under some
condition on weights we establish the existence of p-adic quasi Gibbs measures
associated with the model. Note that this condition does not depend on values of
the prime p. An analogues fact is not valid when the number of spins is finite. |
| first_indexed | 2025-11-14T15:16:53Z |
| format | Article |
| id | iium-24952 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:16:53Z |
| publishDate | 2012 |
| publisher | Springer Link |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-249522012-08-10T07:03:51Z http://irep.iium.edu.my/24952/ Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree Mukhamedov, Farrukh QA Mathematics In the present article, we provide a new construction of measure, called p-adic quasi Gibbs measure, for countable state of p-adic Potts model on the Cayley tree. Such a construction depends on a parameter p and wights. In particular case, i.e., if p = exp_p, the defined measure coincides with p-adic Gibbs measure. In this article, under some condition on weights we establish the existence of p-adic quasi Gibbs measures associated with the model. Note that this condition does not depend on values of the prime p. An analogues fact is not valid when the number of spins is finite. Springer Link 2012-05 Article PeerReviewed application/pdf en http://irep.iium.edu.my/24952/1/mf-JInqApp%282012%29.pdf Mukhamedov, Farrukh (2012) Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree. Journal of Inequalities and Applications, 104. pp. 1-12. ISSN 1029-242X http://link.springer.com/article/10.1186/1029-242X-2012-104?null |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree |
| title | Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree |
| title_full | Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree |
| title_fullStr | Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree |
| title_full_unstemmed | Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree |
| title_short | Existence of p-adic quasi Gibbs measure for countable state Potts model on the Cayley tree |
| title_sort | existence of p-adic quasi gibbs measure for countable state potts model on the cayley tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/24952/ http://irep.iium.edu.my/24952/ http://irep.iium.edu.my/24952/1/mf-JInqApp%282012%29.pdf |