Two Point Correlation Functions for a Periodic Box-Ball System

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Mada, J., Tokihiro, T.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146783
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Two Point Correlation Functions for a Periodic Box-Ball System / J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 8 назв. — англ.

We investigate correlation functions in a periodic box-ball system. For the second and the third nearest neighbor correlation functions, we give explicit formulae obtained by combinatorial methods. A recursion formula for a specific N-point functions is also presented.