120 citations · 682 across the 30 of their papers we have counts for
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math.QA2006★ 34 cited
Bethe ansatz and inverse scattering transform in a periodic box-ball system
Atsuo Kuniba, Taichiro Takagi, Akira Takenouchi
We formulate the inverse scattering method for a periodic box-ball system and solve the initial value problem. It is done by a synthesis of the combinatorial Bethe ansa"tze at q=1…
math.QA2006★ 65 cited
Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
Atsuo Kuniba, Masato Okado, Reiho Sakamoto +2
The Kerov-Kirillov-Reshetikhin (KKR) bijection is the crux in proving fermionic formulas. It is defined by a combinatorial algorithm on rigged configurations and highest paths. We…