Work

Counting Hyperbolic Components in the Main Molecule

Year: 2021
Type: preprint
Abstract: We count the number of hyperbolic components of period n that lie on the main molecule of the Mandelbrot set. We give a formula for how to compute the number of these hyperbolic components of period n in terms of the divisors of n and in the prime power case, an explicit formula is derived.
Language: English
Open Access status: green
OpenAlex ID: W4225966344
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