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

181 citations · 188 across the 2 of their papers we have counts for

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math.PR2005★ 7 cited

Concentration for independent random variables with heavy tails

Franck Barthe, Patrick Cattiaux, Cyril Roberto

If a random variable is not exponentially integrable, it is known that no concentration inequality holds for an infinite sequence of independent copies. Under mild conditions, we e…

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…