Correlation function for a periodic box-ball system

Details Correlation function for a periodic box-ball system Correlation function for a periodic box-ball system

2009-11-20

arxiv.org/abs/0911.3953v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 2 figures, submitted to J. Phys. A: Math. Theor

Scientific paper

We investigate correlation functions in a periodic box-ball system. For the
two point functions of short distance, we give explicit formulae obtained by
combinatorial methods. We give expressions for general N-point functions in
terms of ultradiscrete theta functions.

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