The Decoration Theorem for Mandelbrot and Multibrot Sets
Dynamical Systems
2015-03-14 v1
Abstract
We prove the decoration theorem for the Mandelbrot set (and Multibrot sets) which says that when a "little Mandelbrot set" is removed from the Mandelbrot set, then most of the resulting connected components have small diameters.
Cite
@article{arxiv.1004.0633,
title = {The Decoration Theorem for Mandelbrot and Multibrot Sets},
author = {Dzmitry Dudko},
journal= {arXiv preprint arXiv:1004.0633},
year = {2015}
}