Length of Julia curves (Q1902041)
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scientific article; zbMATH DE number 815789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Length of Julia curves |
scientific article; zbMATH DE number 815789 |
Statements
Length of Julia curves (English)
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22 April 1996
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The main result of the paper reads as follows. Let \(F : \mathbb{C} \to \mathbb{C}\) be a rational function. If the Julia set \(J(F)\) is a Jordan curve then \(J(F)\) is a ``circle/line'' or the Hausdorff dimension of \(J(F)\) is greater than 1.
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Julia set
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Fatou set
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meromorphic function
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Denjoy-Wolff point
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Hausdorff measure
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ergodic function
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rational function
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