40 citations · 54 across the 3 of their papers we have counts for
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math.QA2009★ 10 cited
Relationships Between Two Approaches: Rigged Configurations and 10-Eliminations
Anatol N. Kirillov, Reiho Sakamoto
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--Takeno…
math.QA2008★ 4 cited
Finding Rigged Configurations From Paths
Reiho Sakamoto
We review reformulation of the map from tensor product of crystals to the rigged configurations in terms of the energy function of affine crystals. Especially, we give intuitive pi…
math.QA2006★ 40 cited
Tau functions in combinatorial Bethe ansatz
Atsuo Kuniba, Reiho Sakamoto, Yasuhiko Yamada
We introduce ultradiscrete tau functions associated with rigged configurations for A^{(1)}_n. They satisfy an ultradiscrete version of the Hirota bilinear equation and play a role…