File:Julia set of a hyperbolic entire function in the Laguerre-Polya class.svg

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English: This is a high-resolution version of Figure 1(b) 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 black. The map is . Here there are superattracting fixed points at 0 and -1 (marked with filled circles), and 0 is an asymptotic value. The basin of 0 is coloured white and the basin of -1 is coloured grey. Every Fatou component is a Jordan domain, but all pre-periodic components of the basin of 0 are unbounded, and the Julia set is not locally connected. The non-periodic critical point 1 is marked by asterisks.
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Author L Rempe-Gillen
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Date/TimeThumbnailDimensionsUserComment
current08:15, 4 April 2014Thumbnail for version as of 08:15, 4 April 20142,400 × 1,600 (792 KB)L rempe (talk | contribs)Changed nominal resolution of SVG file to resolution of embedded bitmap.
07:55, 4 April 2014Thumbnail for version as of 07:55, 4 April 2014600 × 400 (792 KB)L rempe (talk | contribs)User created page with UploadWizard

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