Two Point Correlation Functions for a Periodic Box-Ball System

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

10.3842/SIGMA.2011.027

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.

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