No invariant line fields on Cantor Julia sets

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dc.creatorYin, Yongcheng
dc.creatorZhai, Yu
dc.date2006-09-09
dc.date2006-09-12
dc.date.accessioned2026-07-07T07:24:41Z
dc.date.available2026-07-07T07:24:41Z
dc.descriptionIn this paper, we prove that a rational map with a Cantor Julia set carries no invariant line fields on its Julia set. It follows that a structurally stable rational map with a Cantor Julia set is hyperbolic.
dc.description21 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0609255
dc.identifierhttp://arxiv.org/abs/math/0609255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116452
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F10; 37F20
dc.titleNo invariant line fields on Cantor Julia sets
dc.typetext

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