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Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation
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eBook
Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation
2023
Overview
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
Publisher
American Mathematical Society
Subject
ISBN
1470456338, 9781470456337
