Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2207.08066 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909738129686528 |
|---|---|
| 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 |