We discuss the tree structures of the sublimbs of the Mandelbrot set M, using internal addresses of hyperbolic components. We find a counterexample to a conjecture by Eike Lau and Dierk Schleicher concerning topological equivalence between different trees of visible components, and give a new proof to a theorem of theirs concerning the periods of hyperbolic components in various trees.
@article{bwmeta1.element.bwnjournal-article-fmv164i1p41bwm,
author = {Virpi Kauko},
title = {Trees of visible components in the Mandelbrot set},
journal = {Fundamenta Mathematicae},
volume = {163},
year = {2000},
pages = {41-60},
zbl = {0963.37042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv164i1p41bwm}
}
Kauko, Virpi. Trees of visible components in the Mandelbrot set. Fundamenta Mathematicae, Tome 163 (2000) pp. 41-60. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv164i1p41bwm/
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