5 citations · 8 across the 4 of their papers we have counts for
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nlin.SI2021★ 1 cited
A Path-Counting Analysis of Phase Shifts in Box-Ball Systems
Nicholas M. Ercolani, Jonathan Ramalheira-Tsu
In this paper, we perform a detailed analysis of the phase shift phenomenon of the classical soliton cellular automaton known as the box-ball system, ultimately resulting in a stat…
nlin.SI2021★ 5 cited
The Ghost-Box-Ball System: A Unified Perspective on Soliton Cellular Automata, the RSK Algorithm and Phase Shifts
Nicholas M. Ercolani, Jonathan Ramalheira-Tsu
In this paper, we introduce the ghost-box-ball system, which is an extended version of the classical soliton cellular automaton. It is initially motivated as a mechanism for making…