Timeline for Convexity of a set related to certain class of Laurent polynomials
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 26, 2016 at 18:09 | comment | added | Twi | 2Anthony Quas: Yes, you're right as it has been show by Robert Israel below on a concrete example. The test examples which I have considered were of high degree ($r+s$) but they lack critical points of higher degree, indeed. | |
| Sep 26, 2016 at 18:03 | vote | accept | Twi | ||
| Sep 23, 2016 at 2:03 | comment | added | Włodzimierz Holsztyński | Would someone be so kind as to define an encircling curve? | |
| Sep 23, 2016 at 1:46 | answer | added | Robert Israel | timeline score: 2 | |
| Sep 22, 2016 at 21:34 | comment | added | Anthony Quas | What you're asking about is basically the set of points $L^{-1}(\mathbb R)$ where $L$ takes real values. The interesting points are the points on this curve where $L'(z)=0$ - these are points where two or more different curves cross. The interesting cases to test would be where there are lots of points on $L^{-1}(\mathbb R)$ with $L'(z)=0$; maybe also higher order 0's. How complicated are your examples? | |
| Sep 22, 2016 at 20:45 | comment | added | Twi | This is based mainly on a quite convincing numerical evidence and partly on my own intuition. | |
| Sep 22, 2016 at 20:40 | comment | added | Anthony Quas | Why would you expect this to be true? | |
| Sep 22, 2016 at 20:33 | history | asked | Twi | CC BY-SA 3.0 |