Sharkovsky's Ordering in the Mandelbrot Set
Combinatorics
2025-06-09 v1 Dynamical Systems
Abstract
Sharkovsky's ordering describes orbit forcing of interval maps, and generalizations of Sharkovsky's ordering exist for maps of trees. In this paper I will describe Sharkovsky's ordering and analogous orderings for trees, and their occurrence on the Mandelbrot set.
Cite
@article{arxiv.2506.06163,
title = {Sharkovsky's Ordering in the Mandelbrot Set},
author = {Reila Zheng},
journal= {arXiv preprint arXiv:2506.06163},
year = {2025}
}
Comments
14 pages, 3 figures