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Jul 22, 2022 at 20:34 comment added Carlo Beenakker since the distribution of $D$ is unitarily invariant, the order of the elements of $D$ is irrelevant; the cited paper considers the more general case that the diagonal elements of $D$ lie in an interval $(c,1/c)$ for some $c\in(0,1)$.
Jul 22, 2022 at 20:32 history edited Carlo Beenakker CC BY-SA 4.0
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Jul 22, 2022 at 20:20 comment added Max What about a case when there is no constrain on the values of elements of D except that they are placed in a decreasing order?
Jul 22, 2022 at 19:59 history edited Carlo Beenakker CC BY-SA 4.0
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Jul 22, 2022 at 19:48 history answered Carlo Beenakker CC BY-SA 4.0