Corpus ID: 119131097

# Dynamics of the box-ball system with random initial conditions via Pitman's transformation

@article{Croydon2018DynamicsOT,
title={Dynamics of the box-ball system with random initial conditions via Pitman's transformation},
author={David A. Croydon and Tsuyoshi Kato and Makiko Sasada and Satoshi Tsujimoto},
journal={arXiv: Probability},
year={2018}
}
The box-ball system (BBS), introduced by Takahashi and Satsuma in 1990, is a cellular automaton that exhibits solitonic behaviour. In this article, we study the BBS when started from a random two-sided infinite particle configuration. For such a model, Ferrari et al.\ recently showed the invariance in distribution of Bernoulli product measures with density strictly less than $\frac{1}{2}$, and gave a soliton decomposition for invariant measures more generally. We study the BBS dynamics using… Expand

#### Figures from this paper

Dynamics of the multicolor box-ball system with random initial conditions via Pitman's transformation.
The Box-Ball System (BBS) is a cellular automaton introduced by Takahashi and Satsuma in the 1990s. The system is a discrete counterpart of the KdV equation and exhibits solitonic behavior. Recently,Expand
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