Algebraic Entropy for lattice equations
Mathematical Physics
2007-05-23 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical measure of the complexity of the dynamics they define. Its vanishing is a signal of integrability, and can be used as a powerful integrability detector. It is also conjectured to take remarkable values (algebraic integers).
Keywords
Cite
@article{arxiv.math-ph/0609043,
title = {Algebraic Entropy for lattice equations},
author = {Claude Viallet},
journal= {arXiv preprint arXiv:math-ph/0609043},
year = {2007}
}