Timeline for Orbits of rational functions
Current License: CC BY-SA 3.0
7 events
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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 |