File:Equilibrium measure for rational function.png

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English: A random sample from the equilibrium measure of the rational function f(z) = (z-2)^4/z^4. This is a measure on the Riemann sphere, the set of complex numbers together with a point at infinity. In this example, the Julia set (the support of the equilibrium measure) is the whole Riemann sphere, but f is not a Lattes map. The figure shows the set of complex numbers z with real and imaginary parts in [-3,3].
Date
Source Own work
Author BTotaro

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Equilibrium measure for the rational function f(z)=(z-2)^4/z^4

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24 May 2023

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current12:53, 24 May 2023Thumbnail for version as of 12:53, 24 May 2023790 × 390 (81 KB)imagescommonswiki>BTotaroUploaded own work with UploadWizard

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