29 citations · 261 across the 44 of their papers we have counts for
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math.PR2019★ 5 cited
Duality between box-ball systems of finite box and/or carrier capacity
David A. Croydon, Makiko Sasada
We construct the dynamics of the box-ball system with box capacity and carrier capacity , which we abbreviate to BBS(,), in the case of infinite initial configurations…
math.PR2019★ 10 cited
Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures
David A. Croydon, Makiko Sasada
The box-ball system (BBS) is a simple model of soliton interaction introduced by Takahashi and Satsuma in the 1990s. Recent work of the authors, together with Tsuyoshi Kato and Sat…
math-ph2019★ 2 cited
Dynamics of the ultra-discrete Toda lattice via Pitman's transformation
David A. Croydon, Makiko Sasada, Satoshi Tsujimoto
By encoding configurations of the ultra-discrete Toda lattice by piecewise linear paths whose gradient alternates between and , we show that the dynamics of the system can…