65 citations · 330 across the 28 of their papers we have counts for
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math.QA2010★ 6 cited
Box-Basket-Ball Systems
Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto
Using the whurl relation of the first two authors, we define a new discrete solitonic system, which we call the box-basket-ball system, generalizing the box-ball system of Takahash…
math.QA2010★ 6 cited
Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types
Masato Okado, Reiho Sakamoto
For an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends only on the attachment of the node 0 of the Dynkin diagram to the rest, and the…
math.QA2010★ 4 cited
Generalized energies and integrable D^{(1)}_n cellular automaton
Atsuo Kuniba, Reiho Sakamoto, Yasuhiko Yamada
We introduce generalized energies for a class of U_q(D^{(1)}_n) crystals by using the piecewise linear functions that are building blocks of the combinatorial R. They include the c…