Line, spiral, dense
Classical Analysis and ODEs
2019-02-14 v2
Abstract
Exponential of exponential of almost every line in the complex plane is dense in the plane. On the other hand, for lines through any point, for a set of angles of Hausdorff dimension one, exponential of exponential of a line with angle from that set is not dense in the plane.
Cite
@article{arxiv.1409.1079,
title = {Line, spiral, dense},
author = {Neil Dobbs},
journal= {arXiv preprint arXiv:1409.1079},
year = {2019}
}
Comments
14 p, 4 figures