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arXiv · 0902.2286

Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations

Anatol N. Kirillov·Reiho Sakamoto
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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.

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Anatol N. Kirillov, Reiho Sakamoto. 2009-04-03. Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations. https://doi.org/10.1007/s11005-009-0318-3

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