Timeline for Multiple roots of Random Polynomials
Current License: CC BY-SA 4.0
6 events
when toggle format | what | by | license | comment | |
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Apr 16, 2021 at 21:31 | vote | accept | Azad Tasan | ||
Apr 16, 2021 at 20:44 | comment | added | Ben McKay | Sard's theorem proves Christian's and Carlo's wiggling argument. | |
Apr 16, 2021 at 20:34 | answer | added | Iosif Pinelis | timeline score: 1 | |
Apr 16, 2021 at 20:11 | comment | added | Christian Remling | Just wiggling the constant term slightly will remove multiple zeros, so this probability is zero (if we avoid the exceptional scenarios that Carlo mentioned). | |
Apr 16, 2021 at 19:55 | comment | added | Carlo Beenakker | I would think that the set of roots with multiplicity $>1$ has measure zero, at least if $S_f$ contains both $s=0$ and $s=1$ (to exclude $x=0$) | |
Apr 16, 2021 at 19:24 | history | asked | Azad Tasan | CC BY-SA 4.0 |