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19982008
most citedA probabilistic approach to the geometry of the \ell_p^n-ball

181 citations · 198 across the 6 of their papers we have counts for

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Showing 2006 · math.PRShow all

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math.PR2006★ 4 cited

Modified logarithmic Sobolev inequalities on R

Franck Barthe, Cyril Roberto

We provide a sufficient condition for a measure on the real line to satisfy a modified logarithmic Sobolev inequality, thus extending the criterion of Bobkov and Götze. Under mild…

math.PR2006

Isoperimetry between exponential and Gaussian

Franck Barthe, Patrick Cattiaux, Cyril Roberto

We study in details the isoperimetric profile of product probability measures with tails between the exponential and the Gaussian regime. In particular we exhibit many examples whe…