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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 027, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.027 (Mi sigma585) 		 
Two Point Correlation Functions for a Periodic Box-Ball System

Jun Madaa, Tetsuji Tokihirob

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
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DOI: https://doi.org/10.3842/SIGMA.2011.027
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.
Keywords: correlation function; box-ball system.
Received: December 13, 2010; in final form March 2, 2011; Published online March 21, 2011
Bibliographic databases:
Document Type: Article
MSC: 37B15; 37K10; 81R12; 82B20
Language: English
Citation: Jun Mada, Tetsuji Tokihiro, “Two Point Correlation Functions for a Periodic Box-Ball System”, SIGMA, 7 (2011), 027, 16 pp.
Citation in format AMSBIB
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\by Jun Mada, Tetsuji Tokihiro
\paper Two Point Correlation Functions for a~Periodic Box-Ball System
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\papernumber 027
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