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The rows of $X$ are given by independent copies of a linear process, $X_{it}=\\sum_j c_j Z_{i,t-j}$, with regularly varying noise $(Z_{it})$ with tail index $\\alpha\\in(0,4)$. It is shown that a point process based on the eigenvalues of $XX^\\T$ converges, as $n\\to\\infty$ and $p\\to\\infty$ at a suitable rate, in distribution to a Poisson point process with an intensity measure depending on $\\alpha$ and $\\sum c_j^2$. 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