A Path-Counting Analysis of Phase Shifts in Box-Ball Systems

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 statement and proof of a formula describing this phase shift. This phenomenon has been observed since the nineties, when the...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2022
Main Authors: Ercolani, Nicholas M., Ramalheira-Tsu, Jonathan
Format: Article
Language:English
Published: Інститут математики НАН України 2022
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211724
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:A Path-Counting Analysis of Phase Shifts in Box-Ball Systems. Nicholas M. Ercolani and Jonathan Ramalheira-Tsu. SIGMA 18 (2022), 063, 42 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine