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Jul 27, 2012 at 1:51 comment added john mangual For example, we take an $N \times N$ random Hermitian matrix, the eigenvalues $\lambda_1, \dots, \lambda_N$ form a determinantal process. We can put these real numbers in order $-2 \sqrt{N} \approx \lambda'_1 < \dots < \lambda'_N \approx 2 \sqrt{N}$. Do the $\lambda_{2k}$ form a determinantal process? I don't know.
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