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arXiv · 2207.08066

Linearization of the box-ball system with box capacity L

Atsushi Maeno·Satoshi Tsujimoto
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Abstract

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.

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Atsushi Maeno, Satoshi Tsujimoto. 2022-07-17. Linearization of the box-ball system with box capacity L. https://doi.org/10.7566/jpsj.92.024003

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