The Hausdorff dimension of the Julia set for complex polynomial \(z^ d+c\) (Q1895522)
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scientific article; zbMATH DE number 783504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hausdorff dimension of the Julia set for complex polynomial \(z^ d+c\) |
scientific article; zbMATH DE number 783504 |
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The Hausdorff dimension of the Julia set for complex polynomial \(z^ d+c\) (English)
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9 August 1995
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Using the Bieberbach conjecture (Theorem of de Branges), the author gives an upper bound of the radius of the filled-in Julia set of the polynomial \(P(z) = z^d + c\), and, as an application, he obtains a lower bound of the Hausdorff dimension of this set.
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iterate
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Mandelbrot set
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Hausdorff dimension
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Bieberbach conjecture
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Julia set
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