49 citations · 348 across the 45 of their papers we have counts for
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Linearization of the box-ball system with box capacity L
Atsushi Maeno, Satoshi Tsujimoto
We construct a bijection between the state of the box-ball system with box capacity L and a pair of two sequences. In time evolution, one of the sequences moves at speed 1, and the…
Generalization of the -BBS and the Schensted insertion algorithm
Katsuki Kobayashi, Satoshi Tsujimoto
The -BBS is the family of solitonic cellular automata obtained via the ultradiscretization of the elementary Toda orbits, which is a parametrized family of integrable systems un…
Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings
David A. Croydon, Makiko Sasada, Satoshi Tsujimoto
We define bi-infinite versions of four well-studied discrete integrable models, namely the ultra-discrete KdV equation, the discrete KdV equation, the ultra-discrete Toda equation,…
Linearization of the box-ball system: an elementary approach
Saburo Kakei, Jonathan J. C. Nimmo, Satoshi Tsujimoto +1
Kuniba, Okado, Takagi and Yamada have found that the time-evolution of the Takahashi-Satsuma box-ball system can be linearized by considering rigged configurations associated with…