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Tracy Widom law for sample covariance matrices under quadratic form concentration
We study sample covariance matrices formed from i.i.d., centered, isotropic random vectors $q_1, \dots, q_N \in \mathbb{R}^M$, whose coordinates are allowed to be dependent. We assume the random vectors satisfy a concentration bound for their quadratic forms $q_i^T A q_i$. Under this assumption, we
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