Proof of the Branner-Hubbard conjucture on Cantor Julia sets

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dc.creatorQiu, Weiyuan
dc.creatorYin, Yongcheng
dc.date2006-08-02
dc.date.accessioned2026-07-07T07:21:17Z
dc.date.available2026-07-07T07:21:17Z
dc.descriptionBy means of a nested sequence of some critical pieces constructed by Kozlovski, Shen, and van Strien, and by using a covering lemma recently proved by Kahn and Lyubich, we prove that the Julia set of a polynomial is a Cantor set if and only if each component of the filled-in Julia set containing critical points is aperiodic. This result was a conjecture raised by Branner and Hubbard in 1992.
dc.description29 pages, 15 figures
dc.identifierhttps://arxiv.org/abs/math/0608045
dc.identifierhttp://arxiv.org/abs/math/0608045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115248
dc.subjectDynamical Systems
dc.subject37F10; 37F20
dc.titleProof of the Branner-Hubbard conjucture on Cantor Julia sets
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