most citedA probabilistic approach to the geometry of the \ell_p^n-ball

181 citations · 194 across the 3 of their papers we have counts for

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math.FA2008

Majorizing measures and proportional subsets of bounded orthonormal systems

Olivier Guedon, Shahar Mendelson, Alain Pajor +1

In this article we prove that for any orthonormal system $(\vphi_j)_{j=1}^n \subset L_2$ that is bounded in , and any , there exists a subset of cardinali…

math.FA2005★ 13 cited

L_p moments of random vectors via majorizing measures

Olivier Guedon, Mark Rudelson

For a random vector X in R^n, we obtain bounds on the size of a sample, for which the empirical p-th moments of linear functionals are close to the exact ones uniformly on an n-dim…