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The Decoration Theorem for Mandelbrot and Multibrot Sets (1004.0633v1)

Published 1 Apr 2010 in math.DS

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.

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