Line, spiral, dense
Neil Dobbs
University College Dublin, Ireland
![Line, spiral, dense cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-lem-volume-62-issue-1.png&w=3840&q=90)
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. e third iterate of an oblique line is always dense.
Cite this article
Neil Dobbs, Line, spiral, dense. Enseign. Math. 62 (2016), no. 1/2, pp. 91–107
DOI 10.4171/LEM/62-1/2-6