Three approaches to detecting discrete integrability
Complex Variables
2017-04-27 v1
Abstract
A class of discrete equations is considered from three perspectives corresponding to three measures of the complexity of solutions: the (hyper-) order of meromorphic solutions in the sense of Nevanlinna, the degree growth of iterates over a function field and the height growth of iterates over the rational numbers. In each case, low complexity implies a form of singularity confinement which results in a known discrete Painlev\'e equation.
Cite
@article{arxiv.1704.07927,
title = {Three approaches to detecting discrete integrability},
author = {R. G. Halburd and R. J. Korhonen},
journal= {arXiv preprint arXiv:1704.07927},
year = {2017}
}
Comments
12 pages