Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations

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RIMS - 1662 Relationships Between Two Approaches : Rigged Configurations and 10 - Eliminations By Anatol N . KIRILLOV

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. Mathematics Subject Classification (2000) 17B37, 37K15, ...

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ژورنال

عنوان ژورنال: Letters in Mathematical Physics

سال: 2009

ISSN: 0377-9017,1573-0530

DOI: 10.1007/s11005-009-0318-3