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Dec 4, 2012 at 16:44 comment added Giulia Hi Carlo! Thank you for your reply and thank you for explaining why the eigenvalues come in pairs, I observed it numerically but did not write it down formally. However, there's a further complication I did not explain well, the coefficient $C$ is not a constant, but actually a $C_{ij}$ depending on the $i,j$ pair, so I cannot follow what you say about a critical value of $C$ (sorry, my fault, I was not precise enough in the question.) It holds anyway that $|C_{ij}|<1$ for any $i,j$.
Dec 4, 2012 at 16:14 history answered Carlo Beenakker CC BY-SA 3.0