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Buried components of a julia set

Buried components of a julia set In this note, it is shown that if a rational function f of degree ≥2 has a nonempty set of buried points, then for a generic choice of the point z in the Julia set, z is a buried point, and if the Julia set is disconnected, it has uncountably many buried components. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Buried components of a julia set

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Publisher
Springer Journals
Copyright
Copyright © 2002 by Editorial Committee of Applied Mathematics-A Journal of Chinese Universities
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-996-0007-2
Publisher site
See Article on Publisher Site

Abstract

In this note, it is shown that if a rational function f of degree ≥2 has a nonempty set of buried points, then for a generic choice of the point z in the Julia set, z is a buried point, and if the Julia set is disconnected, it has uncountably many buried components.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Jun 26, 1996

References

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    Qiao, Jianyong
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    Beardon, A.
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    Qiao, Jianyong
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    Shishikura, M.