Elementary exact calculations of degree growth and entropy for discrete equations

Second-order discrete equations are studied over the field of rational functions [Formula: see text] , where z is a variable not appearing in the equation. The exact degree of each iterate as a function of z can be calculated easily using the standard calculations that arise in singularity confineme...

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Detalles Bibliográficos
Autor principal: Halburd, R. G.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2017
Materias:
Research Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5454346/
https://www.ncbi.nlm.nih.gov/pubmed/28588401
http://dx.doi.org/10.1098/rspa.2016.0831
Descripción
Sumario:Second-order discrete equations are studied over the field of rational functions [Formula: see text] , where z is a variable not appearing in the equation. The exact degree of each iterate as a function of z can be calculated easily using the standard calculations that arise in singularity confinement analysis, even when the singularities are not confined. This produces elementary yet rigorous entropy calculations.

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