p-adic dynamical systems for $p$-adic $λ$-models on the Cayley trees
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915504565780480 |
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| author | Mukhamedov, Farrukh Khakimov, Otabek |
| author_facet | Mukhamedov, Farrukh Khakimov, Otabek |
| contents | We review and propose to use of associated dynamical system to explore the phase transition phenomena in $p$-adic statistical mechanics setting, by means of the renormalization techniques. Main focus of the paper is the $p$-adic $λ$-model on the Cayley tree. We study generalized $p$-adic quasi Gibbs measures for the $λ$-model. These measures associate recurrence equations that determine dynamical systems for the model. A main point is to verify and confirm that the indicated predictions from a dynamical system point of view are indeed true. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16362 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | p-adic dynamical systems for $p$-adic $λ$-models on the Cayley trees Mukhamedov, Farrukh Khakimov, Otabek Mathematical Physics Dynamical Systems We review and propose to use of associated dynamical system to explore the phase transition phenomena in $p$-adic statistical mechanics setting, by means of the renormalization techniques. Main focus of the paper is the $p$-adic $λ$-model on the Cayley tree. We study generalized $p$-adic quasi Gibbs measures for the $λ$-model. These measures associate recurrence equations that determine dynamical systems for the model. A main point is to verify and confirm that the indicated predictions from a dynamical system point of view are indeed true. |
| title | p-adic dynamical systems for $p$-adic $λ$-models on the Cayley trees |
| topic | Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2509.16362 |