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Oct 25 at 5:36 comment added Kawa @CarloBeenakker that's the BBP part i was talking about. In the case where $\beta < 1$, the spike is "absorbed" in the noise and the outlier is still within the bulk of the eigenvalues
Oct 24 at 19:24 comment added Carlo Beenakker doesn't your $A$ have an "outlier" eigenvalue with an eigenvector that depends on $x$ ? that would break the unitary invariance of the spectrum of $A$
Oct 24 at 13:24 history edited YCor CC BY-SA 4.0
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Oct 24 at 13:06 history edited Kawa CC BY-SA 4.0
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S Oct 24 at 12:48 review First questions
Oct 24 at 12:52
S Oct 24 at 12:48 history asked Kawa CC BY-SA 4.0