论文标题
$ε$ -BBS和Schensted插入算法的概括
Generalization of the $ε$-BBS and the Schensted insertion algorithm
论文作者
论文摘要
$ε$ -bbs是通过基本Toda轨道的超级差异获得的孤子蜂窝自动机的家族，该家族是一个统一TODA方程和相对论TODA方程的综合系统的参数化家族。在本文中，我们得出了带有多种球的$ε$ -BB，并通过Schensted插入算法进行了保守的数量，该算法在Compinatorics中引入。为了证明这一点，我们将连续基本Toda轨道的异性转变扩展到离散的饥饿的基本Toda轨道。
The $ε$-BBS is the family of solitonic cellular automata obtained via the ultradiscretization of the elementary Toda orbits, which is a parametrized family of integrable systems unifying the Toda equation and the relativistic Toda equation. In this paper, we derive the $ε$-BBS with many kinds of balls and give its conserved quantities by the Schensted insertion algorithm which is introduced in combinatorics. To prove this, we extend birational transformations of the continuous elementary Toda orbits to the discrete hungry elementary Toda orbits.
