2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116314We 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).Mathematical PhysicsExactly Solvable and Integrable Systemstext