Halburd, RG;
(2017)
Elementary exact calculations of degree growth and entropy for discrete equations.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
, 473
(2201)
, Article 20160831. 10.1098/rspa.2016.0831.
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Abstract
Second-order discrete equations are studied over the field of rational functions C(z)C(z), 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.
| Type: | Article |
|---|---|
| Title: | Elementary exact calculations of degree growth and entropy for discrete equations |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1098/rspa.2016.0831 |
| Publisher version: | http://dx.doi.org/10.1098/rspa.2016.0831 |
| Language: | English |
| Additional information: | Copyright © 2017 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1557890 |
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