Timeline for Expectation of a function of two entries of an isotropic unit vector $\mathbb{E}_{\mathbf{w}\sim\mathcal{S}^{p-1}}\![{w_{1}}^{\!4}\,{w_{2}}^{\!4}]$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 17, 2023 at 6:39 | comment | added | Itay | It turns out that this can be solved as a special case of Eq. (24) in "Integrals of monomials over the orthogonal group" (Gorin 2002). | |
| Aug 13, 2023 at 9:51 | vote | accept | Itay | ||
| Aug 11, 2023 at 20:27 | history | edited | Michael Hardy | CC BY-SA 4.0 |
This is easier on the eyes when formatted in a way that's not so crowded.
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| Aug 11, 2023 at 17:21 | answer | added | Iosif Pinelis | timeline score: 3 | |
| Aug 11, 2023 at 17:00 | comment | added | Abdelmalek Abdesselam | Related: mathoverflow.net/questions/360906/… | |
| Aug 11, 2023 at 16:22 | answer | added | Abdelmalek Abdesselam | timeline score: 4 | |
| Aug 11, 2023 at 15:38 | comment | added | Alf | How about the bound $9/(p(p+2))^2$? It is likely easy to show that $w_1^4$ and $w_2^4$ are negatively correlated. | |
| Aug 11, 2023 at 13:52 | history | asked | Itay | CC BY-SA 4.0 |