Algebraic Entropy for lattice equations

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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Field Value
Source https://hal.science/hal-00095243
Author Viallet, Claude
Maintainer CCSD
Last Updated May 5, 2026, 20:10 (UTC)
Created May 5, 2026, 20:10 (UTC)
Identifier hal-00095243
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire de Physique Théorique et Hautes Energies (LPTHE) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Viallet, Claude
date 2006-09-19T00:00:00
harvest_object_id df0a981a-48d1-4b4e-9415-4071e27f6dd7
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2023-03-24T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/math-ph/0609043
set_spec type:UNDEFINED