22 citations · 143 across the 51 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.PR2019★ 2 cited
Biased random walk on the trace of biased random walk on the trace of...
David Croydon, Mark Holmes
We study the behaviour of a sequence of biased random walks X(i), i>=0 on a sequence of random graphs, where the initial graph is Zd and otherwise the graph for the i-th walk is th…