Exponential Diophantine approximation and symbolic dynamics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866912207667724288 |
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| author | Akiyama, Shigeki Kamae, Teturo Kaneko, Hajime |
| author_facet | Akiyama, Shigeki Kamae, Teturo Kaneko, Hajime |
| contents | We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the problem. Moreover, the new method applies to a wide variety of polynomials possibly having multiple roots. We derive several consequences of this formula, which are expected on the Markoff-Lagrange spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_10510 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exponential Diophantine approximation and symbolic dynamics Akiyama, Shigeki Kamae, Teturo Kaneko, Hajime Number Theory Dynamical Systems 11J06, 37B10, 11J54, 11K16 We extend the key formula which intertwines multiplicative Markoff-Lagrange spectrum and symbolic dynamics. The proof uses complex analysis and elucidates the strategy of the problem. Moreover, the new method applies to a wide variety of polynomials possibly having multiple roots. We derive several consequences of this formula, which are expected on the Markoff-Lagrange spectrum. |
| title | Exponential Diophantine approximation and symbolic dynamics |
| topic | Number Theory Dynamical Systems 11J06, 37B10, 11J54, 11K16 |
| url | https://arxiv.org/abs/2204.10510 |