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Timeline for Orbits of rational functions

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Sep 4, 2017 at 17:49 history edited Alexandre Eremenko CC BY-SA 3.0
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Sep 4, 2017 at 17:46 comment added Alexandre Eremenko @Igor Rivin: I think Fatou's theorem is simpler: it is a local result, near a fixed point, where the dynamics is very smle, while Silverman's theorem is global.
Sep 4, 2017 at 17:40 comment added Igor Rivin That's really cool! Presumably this is related to Silverman's theorem, as in @NoamD.Elkies' answer to the other question.
Sep 4, 2017 at 17:39 history edited Alexandre Eremenko CC BY-SA 3.0
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Sep 4, 2017 at 17:37 comment added Noam D. Elkies I thought Igor Rivin intended (even if he didn't explicitly state this) that the $a_n$ be distinct. The limit-point construction is basically what I did, with rapid convergence to $\infty$ (which looks like any other point of the projective line in the context of rational functions).
Sep 4, 2017 at 17:15 history edited Alexandre Eremenko CC BY-SA 3.0
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Sep 4, 2017 at 17:07 history answered Alexandre Eremenko CC BY-SA 3.0