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