Timeline for On well separated circular regions in the Riemann sphere and complex polynomials
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 18, 2022 at 2:11 | comment | added | Malkoun | @NoamD.Elkies, it is simpler indeed, though probably equivalent. But see Alexandre Eremenko's answer who brought up an issue with using the $\delta$ invariant. Thank you though for a much simpler definition! | |
| Jul 17, 2022 at 15:26 | comment | added | Noam D. Elkies | Maybe easier to define $\delta = \min_{i\neq j} d(D_i,D_j)$ where $d$ is the ${\rm SL}_2({\bf C})$-invariant distance between disjoint discs on the Riemann sphere. This $d$ can be defined as follows: for disjoint discs $D, D'$ there is a unique $r > 1$ such that some $g \in {\rm SL}_2({\bf C})$ takes $D$ to the unit disc $\{z \leq 1\}$ and $D'$ to $\{z \geq r\}$. (This $g$ is determined uniquely up to composition with rotations, i.e. $z \mapsto ag(z)$ with $|a|=1$.) Then $d(D,D') = \log r$. | |
| Jul 15, 2022 at 18:55 | vote | accept | Malkoun | ||
| Jul 15, 2022 at 18:43 | answer | added | Alexandre Eremenko | timeline score: 2 | |
| Jul 15, 2022 at 17:42 | history | edited | Malkoun | CC BY-SA 4.0 |
$n$ should be at least $3$ for $\delta$ to make sense
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| Jul 15, 2022 at 15:27 | history | asked | Malkoun | CC BY-SA 4.0 |