34 citations · 50 across the 4 of their papers we have counts for
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math-ph2005★ 1 cited
Periodic cellular automata and Bethe ansatz
Atsuo Kuniba, Akira Takenouchi
We review and generalize the recent progress in a soliton cellular automaton known as the periodic box-ball system. It has the extended affine Weyl group symmetry and admits the co…
nlin.SI2005★ 6 cited
Bethe ansatz at q=0 and periodic box-ball systems
Atsuo Kuniba, Akira Takenouchi
A class of periodic soliton cellular automata is introduced associated with crystals of non-exceptional quantum affine algebras. Based on the Bethe ansatz at q=0, we propose explic…