An Ultradiscrete QRT mapping from Tropical Elliptic Curves
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
Recently the area of tropical geometry has introduced the concept of the tropical elliptic group law associated with a tropical elliptic curve. This gives rise to a notion of the tropical QRT mapping. We compute the explicit tropically birational expressions that define the tropical QRT mapping for some arbitrary set of parameters. We consider this a new integrable ultradiscrete system. This also induces a new notion of tropical elliptic functions, different to the ultradiscretized elliptic functions.
Cite
@article{arxiv.math-ph/0609060,
title = {An Ultradiscrete QRT mapping from Tropical Elliptic Curves},
author = {Chris Ormerod},
journal= {arXiv preprint arXiv:math-ph/0609060},
year = {2007}
}
Comments
9 pages, 6 figures