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Radial Marchenko-Pastur laws: projection characterizations and rigidity
Let \(R_p=\|x_p\|^2/p\Rightarrow ν\) and \(p/N\to c\in(0,\infty)\). We prove that the radial quadratic-form condition (RQC), requiring energy in deterministic subspaces to follow the parent radius, is equivalent to the following spectral property: for one fixed \(α\in(0,1)\), every deterministic ran
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