Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 7 (2011), 027, 16 pages      arXiv:1103.3929      https://doi.org/10.3842/SIGMA.2011.027
Contribution to the Proceedings of the Conference “Integrable Systems and Geometry”

Two Point Correlation Functions for a Periodic Box-Ball System

Jun Mada a and Tetsuji Tokihiro b
a) College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino, Chiba 275-8576, Japan
b) Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Tokyo 153-8914, Japan

Received December 13, 2010, in final form March 02, 2011; Published online March 21, 2011

Abstract
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.

Key words: correlation function; box-ball system.

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