2 papers
nlin.SI2025
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…
nlin.SI2024
Solitons in 3-State Mealy Automata
Atsushi Maeno, Satoshi Tsujimoto, Fumitaka Yura
Box--ball systems (BBS) are integrable systems with soliton solutions and other good properties. We will search for automata that belong to the same class as BBS automata by introd…