On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree
In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is f...
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| Format: | Article |
| Language: | English English |
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Elsevier BV
2009
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| Online Access: | http://irep.iium.edu.my/13694/ http://irep.iium.edu.my/13694/1/mfakh-nonlin-anal%282009%29.pdf http://irep.iium.edu.my/13694/4/on_uniqueness_of_gibbs.pdf |
| _version_ | 1848777592248729600 |
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| author | Khrennikov, Andrei Mukhamedov, Farrukh |
| author_facet | Khrennikov, Andrei Mukhamedov, Farrukh |
| author_sort | Khrennikov, Andrei |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note
that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite. |
| first_indexed | 2025-11-14T14:48:26Z |
| format | Article |
| id | iium-13694 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T14:48:26Z |
| publishDate | 2009 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-136942012-05-05T13:37:42Z http://irep.iium.edu.my/13694/ On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree Khrennikov, Andrei Mukhamedov, Farrukh QA Mathematics In the present paper we consider countable state of p-adic Potts model on the tree. Under some condition on weights we establish uniqueness of Gibbs measures for the model. Note that this condition does not depend on values of the prime p. An analogous fact is not true when the number of spins is finite. Elsevier BV 2009 Article PeerReviewed application/pdf en http://irep.iium.edu.my/13694/1/mfakh-nonlin-anal%282009%29.pdf application/pdf en http://irep.iium.edu.my/13694/4/on_uniqueness_of_gibbs.pdf Khrennikov, Andrei and Mukhamedov, Farrukh (2009) On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree. Nonlinear Analysis, Theory, Methods and Applications, 71 (11). pp. 5327-5331. ISSN 0362-546X http://www.sciencedirect.com/science/article/pii/S0362546X09005689 10.1016/j.na.2009.04.021 |
| spellingShingle | QA Mathematics Khrennikov, Andrei Mukhamedov, Farrukh On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree |
| title | On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree |
| title_full | On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree |
| title_fullStr | On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree |
| title_full_unstemmed | On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree |
| title_short | On uniqueness of Gibbs measure for p-adic countable state Potts model on the Cayley tree |
| title_sort | on uniqueness of gibbs measure for p-adic countable state potts model on the cayley tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/13694/ http://irep.iium.edu.my/13694/ http://irep.iium.edu.my/13694/ http://irep.iium.edu.my/13694/1/mfakh-nonlin-anal%282009%29.pdf http://irep.iium.edu.my/13694/4/on_uniqueness_of_gibbs.pdf |