Two Point Correlation Functions for a Periodic Box-Ball System
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.
- Publication:
-
SIGMA
- Pub Date:
- March 2011
- DOI:
- 10.3842/SIGMA.2011.027
- arXiv:
- arXiv:1103.3929
- Bibcode:
- 2011SIGMA...7..027M
- Keywords:
-
- correlation function;
- box-ball system;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Cellular Automata and Lattice Gases
- E-Print:
- SIGMA 7 (2011), 027, 16 pages