The Decoration Theorem for Mandelbrot and Multibrot Sets
classification
🧮 math.DS
keywords
mandelbrotdecorationmultibrotsetstheoremcomponentsconnecteddiameters
read the original 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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