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Apr 27, 2022 at 12:48 vote accept Jone Sweden
Apr 27, 2022 at 12:47 history edited Jone Sweden CC BY-SA 4.0
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Apr 27, 2022 at 12:25 comment added Joseph Van Name For the original question (before the edit), it looks like you want to find an equilibrium measure with respect to a "Reisz potential" subject to the condition that the mean is $\alpha$. Since equilibrium measures tend to accumulate on the boundary of a compact set, one would expect for the $\text{Tr}(\text{Cov}(HX))$ to be maximized by a measure on the boundary of the cube.
Apr 27, 2022 at 4:20 history edited Jone Sweden CC BY-SA 4.0
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Apr 27, 2022 at 4:12 history edited Jone Sweden CC BY-SA 4.0
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Apr 26, 2022 at 13:11 answer added Iosif Pinelis timeline score: 1
S Apr 26, 2022 at 5:20 review First questions
Apr 26, 2022 at 6:14
S Apr 26, 2022 at 5:20 history asked Jone Sweden CC BY-SA 4.0