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arXiv 2006-09-09 0 views

No invariant line fields on Cantor Julia sets

Yin, Yongcheng · Zhai, Yu

Original · EN

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.

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