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arXiv · 1911.03796

Generalizations of Douady's magic formula

Adam Epstein·Giulio Tiozzo
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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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Adam Epstein, Giulio Tiozzo. 2019-11-09. Generalizations of Douady's magic formula. https://arxiv.org/abs/1911.03796

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