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

181 citations · 216 across the 3 of their papers we have counts for

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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…

math.PR2004★ 6 cited

The shattering dimension of sets of linear functionals

Shahar Mendelson, Gideon Schechtman

We evaluate the shattering dimension of various classes of linear functionals on various symmetric convex sets. The proofs here relay mostly on methods from the local theory of nor…