Generalizations of Douady's magic formula
Dynamical Systems
2019-11-12 v1
Abstract
We generalize a combinatorial formula of Douady from the main cardioid to other hyperbolic components of the Mandelbrot set, constructing an explicit piecewise linear map which sends the set of angles of external rays landing on to the set of angles of external rays landing on the real axis.
Cite
@article{arxiv.1911.03796,
title = {Generalizations of Douady's magic formula},
author = {Adam Epstein and Giulio Tiozzo},
journal= {arXiv preprint arXiv:1911.03796},
year = {2019}
}
Comments
15 pages, 3 figures