File:Julia set of a hyperbolic transcendental entire function with both bounded and unbounded immediate attracting basins.svg
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Summary[edit]
DescriptionJulia set of a hyperbolic transcendental entire function with both bounded and unbounded immediate attracting basins.svg |
English: This is a high-resolution version of Figure 3 from the paper "Hyperbolic entire functions with bounded Fatou components" by Bergweiler, Fagella and Rempe-Gillen (https://arxiv.org/abs/1404.0925). The Julia set is shown in dark tones of grey. The map is . This function has three critical values and two fixed Fatou components, one of which is a bounded Jordan domain, while the other is unbounded with non-locally-connected boundary. The fixed points 0 and 1 are superattracting; the basin of 0 is depicted in white and the basin of 1 in light grey. Non-periodic critical points are marked by asterisks. |
Date | |
Source | Own work |
Author | L Rempe-Gillen |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 08:12, 4 April 2014 | 4,800 × 1,600 (2.32 MB) | L rempe (talk | contribs) | Changed nominal resolution of SVG file to resolution of embedded bitmap. | |
07:54, 4 April 2014 | 1,200 × 400 (2.32 MB) | L rempe (talk | contribs) | User created page with UploadWizard |
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Width | 4800 |
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Height | 1600 |