arXiv subjects

Atsushi Maeno

Publications and source records attributed to Atsushi Maeno.

2 recordsLinked to original sources

arXiv2025

Linearization of the box-ball system with box capacity L

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 other follows the rules of the box-ball system with box capacity one, which can be linearized by the Kerov-Kirillov-Reshetikhin(KKR) bijection. Our method can be applied to a state including a negative value or a value greater than the box capacity.

nlin.SI↗

arXiv2024

Solitons in 3-State Mealy Automata

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 introducing some classes of automata through the features of BBS automaton. In particular, we would like to classify 3-state automata over a 2-letter alphabet.

nlin.SI↗