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Statistics of spectral properties of matrix-valued random variables.

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Probability eigenvectors of discrete random matrix are orthogonal to discrete random vector

Let $W=(w_{ij})_{1 \leq i, j \leq N}$ and $\textbf{v}=(v_j)_{1 \leq j \leq N}$ be a random $N\times N$ matrix and N-vector, respectively, where all $w_{ij}$ are jointly independent and have discrete d …
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