Linearization of the box-ball system with box capacity L
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866909738129686528 |
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| author | Maeno, Atsushi Tsujimoto, Satoshi |
| author_facet | Maeno, Atsushi Tsujimoto, Satoshi |
| contents | We construct a bijection between the state of the box-ball system with box capacity L and a pair of two sequences. In time evolution, one of the sequences moves at speed 1, and the other follows the rules of the box-ball system with box capacity one, which can be linearized by the Kerov-Kirillov-Reshetikhin(KKR) bijection. Our method can be applied to a state including a negative value or a value greater than the box capacity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08066 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Linearization of the box-ball system with box capacity L Maeno, Atsushi Tsujimoto, Satoshi Exactly Solvable and Integrable Systems Mathematical Physics We construct a bijection between the state of the box-ball system with box capacity L and a pair of two sequences. In time evolution, one of the sequences moves at speed 1, and the other follows the rules of the box-ball system with box capacity one, which can be linearized by the Kerov-Kirillov-Reshetikhin(KKR) bijection. Our method can be applied to a state including a negative value or a value greater than the box capacity. |
| title | Linearization of the box-ball system with box capacity L |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2207.08066 |