Geodesic
Trees of visible components in the Mandelbrot set
Fundamenta Mathematicae, Tome 164 (2000) no. 1, pp. 41-60 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm-164-1-41-60

Virpi Kauko 1

1 
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Virpi Kauko. Trees of visible components in the Mandelbrot set. Fundamenta Mathematicae, Tome 164 (2000) no. 1, pp. 41-60. doi: 10.4064/fm-164-1-41-60

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