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Timeline for Convex Julia sets

Current License: CC BY-SA 4.0

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Apr 10, 2020 at 17:55 answer added Margaret Friedland timeline score: 10
Apr 3, 2020 at 9:53 comment added Per Alexandersson @KhashF Indeed, the pictures I can make definitely supports the conjecture that it works for c=-1 also.
Apr 3, 2020 at 1:46 comment added KhashF This is indeed true for certain values of $c$ e.g. $c<-2$ in which case $J_{f_c}$ is a Cantor subset of the real axis and $H_{f_c}$ is a compact interval. But I can't see how this could be true when the filled Julia set has non-empty interior (special cases with smooth Julia sets such as $c=0$ aside)? Have you verified it for the basilica Julia set (c=-1)?
Apr 2, 2020 at 9:22 history edited Per Alexandersson CC BY-SA 4.0
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Apr 2, 2020 at 9:14 history asked Per Alexandersson CC BY-SA 4.0