Correlation function for a periodic box-ball system

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.

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

References in corpus (3)

• Algebraic representation of correlation functions in integrable spin chains
• Fundamental Cycle of a Periodic Box-Ball System
• On a Periodic Soliton Cellular Automaton

Cited by in corpus (1)

• Dynamics of the box-ball system with random initial conditions via Pitman's transformation