A family of projectively natural polygon iterations
Dynamical Systems
2018-08-02 v2 Algebraic Geometry
Abstract
The pentagram map was invented by Richard Schwartz in his search for a projective-geometric analogue of the midpoint map. It turns out that the dynamical behavior of the pentagram map is totally different from that of the midpoint map. Recently, Schwartz has constructed a related map, the projective heat map, which empirically exhibits similar dynamics as the midpoint map. In this paper, we will demonstrate that there is a one-parameter family of maps which behaves a lot like Schwartz's projective heat map.
Keywords
Cite
@article{arxiv.1602.02699,
title = {A family of projectively natural polygon iterations},
author = {Quang-Nhat Le},
journal= {arXiv preprint arXiv:1602.02699},
year = {2018}
}
Comments
24 pages, 10 figures