Algebraic Entropy for lattice equations

Details Algebraic Entropy for lattice equations Algebraic Entropy for lattice equations

2006-09-15

arxiv.org/abs/math-ph/0609043v2

Physics

Mathematical Physics

Scientific paper

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).

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