Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations
arXiv:0902.2286 · doi:10.1007/s11005-009-0318-3
Abstract
There are two distinct approaches to the study of initial value problem of the periodic box-ball systems. One way is the rigged configuration approach due to Kuniba--Takagi--Takenouchi and another way is the 10-elimination approach due to Mada--Idzumi--Tokihiro. In this paper, we describe precisely interrelations between these two approaches.
16 pages, final version, minor revision