181 citations · 217 across the 7 of their papers we have counts for
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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…
math.PR2005★ 181 cited
A probabilistic approach to the geometry of the \ell_p^n-ball
Franck Barthe, Olivier Guedon, Shahar Mendelson +1
This article investigates, by probabilistic methods, various geometric questions on B_p^n, the unit ball of \ell_p^n. We propose realizations in terms of independent random variabl…