Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model
In this work we establish the existence of the p-adic Gibbs measure for the p-adic λ-Ising model on the Cayley tree of order two. In the previous studies, p-adic Ising model and p-adic λ-model were distinctly studied in many papers with the various properties. In this work, it is the first we combin...
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| Format: | Article |
| Language: | English |
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Tishk International University
2017-09-01
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| Series: | Eurasian Journal of Science and Engineering |
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| Online Access: | http://eajse.org/wp-content/uploads/2015/12/Construction-of-p-Adic-Gibbs-Measure-for-p-Adic-l-Ising-Model-Corrected.pdf |
| _version_ | 1797710858036445184 |
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| author | Mutlay Dogan |
| author_facet | Mutlay Dogan |
| author_sort | Mutlay Dogan |
| collection | DOAJ |
| description | In this work we establish the existence of the p-adic Gibbs measure for the p-adic λ-Ising model on the Cayley tree of order two. In the previous studies, p-adic Ising model and p-adic λ-model were distinctly studied in many papers with the various properties. In this work, it is the first we combined both p-adic Ising model and p-adic λ-model on the Cayley tree of order two. In this research we only establish the model and we proved the existence of the p-adic Gibbs measures in the p-adic case. Here, we use the methods of p-adic analysis, and then, our results do not work in the real case. |
| first_indexed | 2024-03-12T06:58:23Z |
| format | Article |
| id | doaj.art-b794fbd27750472aa5d68bf8ad21cce4 |
| institution | Directory Open Access Journal |
| issn | 2414-5629 2414-5602 |
| language | English |
| last_indexed | 2024-03-12T06:58:23Z |
| publishDate | 2017-09-01 |
| publisher | Tishk International University |
| record_format | Article |
| series | Eurasian Journal of Science and Engineering |
| spelling | doaj.art-b794fbd27750472aa5d68bf8ad21cce42023-09-02T23:55:18ZengTishk International UniversityEurasian Journal of Science and Engineering2414-56292414-56022017-09-013119219710.23918/eajse.v3i1sip192Construction of p-Adic Gibbs Measure for p-Adic λ-Ising ModelMutlay DoganIn this work we establish the existence of the p-adic Gibbs measure for the p-adic λ-Ising model on the Cayley tree of order two. In the previous studies, p-adic Ising model and p-adic λ-model were distinctly studied in many papers with the various properties. In this work, it is the first we combined both p-adic Ising model and p-adic λ-model on the Cayley tree of order two. In this research we only establish the model and we proved the existence of the p-adic Gibbs measures in the p-adic case. Here, we use the methods of p-adic analysis, and then, our results do not work in the real case.http://eajse.org/wp-content/uploads/2015/12/Construction-of-p-Adic-Gibbs-Measure-for-p-Adic-l-Ising-Model-Corrected.pdfp-Adic Numbersp-Adic Quasi Gibbs MeasureDynamical SystemCayley Tree |
| spellingShingle | Mutlay Dogan Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model Eurasian Journal of Science and Engineering p-Adic Numbers p-Adic Quasi Gibbs Measure Dynamical System Cayley Tree |
| title | Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model |
| title_full | Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model |
| title_fullStr | Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model |
| title_full_unstemmed | Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model |
| title_short | Construction of p-Adic Gibbs Measure for p-Adic λ-Ising Model |
| title_sort | construction of p adic gibbs measure for p adic λ ising model |
| topic | p-Adic Numbers p-Adic Quasi Gibbs Measure Dynamical System Cayley Tree |
| url | http://eajse.org/wp-content/uploads/2015/12/Construction-of-p-Adic-Gibbs-Measure-for-p-Adic-l-Ising-Model-Corrected.pdf |
| work_keys_str_mv | AT mutlaydogan constructionofpadicgibbsmeasureforpadiclisingmodel |