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arXiv:math/0609255 [math.DS]AbstractReferencesReviewsResources

No invariant line fields on Cantor Julia sets

Yongcheng Yin, Yu Zhai

Published 2006-09-09, updated 2006-09-12Version 3

In 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.

Comments: 21 pages, 2 figures
Categories: math.DS, math.CV
Subjects: 37F10, 37F20
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