The Decoration Theorem for Mandelbrot and Multibrot Sets
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2010
- DOI:
- 10.48550/arXiv.1004.0633
- arXiv:
- arXiv:1004.0633
- Bibcode:
- 2010arXiv1004.0633D
- Keywords:
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- Mathematics - Dynamical Systems