Counting Hyperbolic Components in the Main Molecule
Dynamical Systems
2022-05-19 v2
Abstract
We count the number of hyperbolic components of period n that lie on the main molecule of the Mandelbrot set. We give a formula for how to compute the number of these hyperbolic components of period n in terms of the divisors of n and in the prime power case, an explicit formula is derived.
Cite
@article{arxiv.2112.08446,
title = {Counting Hyperbolic Components in the Main Molecule},
author = {Schinella D'Souza},
journal= {arXiv preprint arXiv:2112.08446},
year = {2022}
}
Comments
7 pages, 3 figures