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Length of Julia
curves
David H. Hamilton |
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Vol. 169 (1995), No. 1, 75–93
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Abstract |
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Let the Fatou set of a meromorphic function f have two components with Denjoy-Wolff points at which f is not transcendental. Then the Julia set J is a “circle/line” or is nowhere rectifiable. In particular if f is rational and J is a Jordan curve then it follows it follows (in the second case) that dim(J) > 1. |
Mathematical Subject Classification 2000
Primary: 30D05
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Milestones
Received: 17 September 1992
Revised: 24 May 1994
Published: 1 May 1995
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Authors |
| David H. Hamilton | |
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