中文

Line, Spiral, Dense in Space

复变函数 2026-05-28 v1

摘要

Dobbs proved that the second iterate of almost every line in the complex plane under the exponential function is dense in the plane. In this paper, we prove an analogous result for the second iterate of the Zorich map in R3\mathbb{R}^3.

引用

@article{arxiv.2605.28470,
  title  = {Line, Spiral, Dense in Space},
  author = {Atakora Agoro and Alastair N. Fletcher},
  journal= {arXiv preprint arXiv:2605.28470},
  year   = {2026}
}