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Dynamics of holomorphic transformations; Mandelbrot and Julia sets.

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How is the Julia set of $fg$ related to the Julia set of $gf$?

I'm not sure if this is helpful, but here is an example. The following picture shows the filled Julia set for $z^6 - 1$. and the following picture shows the filled Julia set for $(z^2-1)^3$: Th …
Jim Belk's user avatar
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