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Generalizations of Douady’s magic formula
Published online by Cambridge University Press: 28 July 2021
Abstract
We generalize a combinatorial formula of Douady from the main cardioid to other hyperbolic components H of the Mandelbrot set, constructing an explicit piecewise linear map which sends the set of angles of external rays landing on H to the set of angles of external rays landing on the real axis.
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- © The Author(s), 2021. Published by Cambridge University Press