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19922019
most citedQuantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles

117 citations · 265 across the 28 of their papers we have counts for

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Showing 2012 · math.PRShow all

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math.PR2012★ 15 cited

Moment estimates for convex measures

Radosław Adamczak, Olivier Guédon, Rafał Latała +4

Let , $\eps >0$, $r\geq (1+\eps) p$, and be a -concave random vector in with Euclidean norm . We prove that $(\E |X|^{p})^{1/{p}}\leq c (C(\eps) \E…

math.PR2012★ 25 cited

A short proof of Paouris' inequality

Radosław Adamczak, Rafał Latała, Alexander E. Litvak +3

We give a short proof of a result of G. Paouris on the tail behaviour of the Euclidean norm of an isotropic log-concave random vector , stating that for every $t\ge…