论文标题
具有盒子容量L的盒球系统线性化L
Linearization of the box-ball system with box capacity L
论文作者
论文摘要
我们在带有盒子容量L的盒球系统状态和一对两个序列之间构建了两次两者。随着时间的推移，其中一个序列以速度1移动，另一个序列遵循具有盒子容量一个的盒球系统的规则，可以通过Kerov-Kirillov-Reshetikhin（KKR）Biftion将其线性化。我们的方法可以应用于一个状态，包括负值或大于盒子容量的值。
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.
