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Abstract
In this paper, we prove that a rational map with a Cantor Julia set carries no invariant line field on its Julia set. It follows that a structurally stable rational map with a Cantor Julia set is hyperbolic.
Received: 2008-02-20
Accepted: 2008-04-08
Published Online: 2009-10-05
Published in Print: 2010-January
© de Gruyter 2010
