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math.DS2010
Homeomorphisms between limbs of the Mandelbrot set
Dzmitry Dudko, Dierk Schleicher
We prove that for every hyperbolic component of the Mandelbrot set, any two limbs with equal denominators are homeomorphic so that the homeomorphism preserves periods of hyperbolic…
math.DS2010
The Decoration Theorem for Mandelbrot and Multibrot Sets
Dzmitry Dudko
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 resu…