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On the Isotropic Constant of Random Polytopes
Alonso Gutiérrez, David; Litvak, Alexander E.; Tomczak-Jaegermann, Nicole Springer Verlag (2015-01)Let X1,…,XN be independent random vectors uniformly distributed on an isotropic convex body K ⊂ Rn, and let KN be the symmetric convex hull of Xi’s. We show that with high probability LKN ≤ C√log(2N/n), where C is an ...