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arXiv:2112.08446 [math.DS]AbstractReferencesReviewsResources

Counting Hyperbolic Components in the Main Molecule

Schinella D'Souza

Published 2021-12-15, updated 2022-05-18Version 2

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.

Comments: 7 pages, 3 figures
Categories: math.DS
Subjects: 37F20
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