English

Correlation function for a periodic box-ball system

Exactly Solvable and Integrable Systems 2015-05-14 v1 Cellular Automata and Lattice Gases

Abstract

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.

Keywords

Cite

@article{arxiv.0911.3953,
  title  = {Correlation function for a periodic box-ball system},
  author = {Jun Mada and Tetsuji Tokihiro},
  journal= {arXiv preprint arXiv:0911.3953},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T14:14:00.661Z