Franck Barthe

A simple proof of the Poincaré inequality for a large class of probability measures

Dominique Bakry, Franck Barthe, Patrick Cattiaux et al. · Electronic Communications in Probability · 2008 · 200 citations · Full text

Spectral Theory, Poincaré Inequality, Measure Theory +12

A probabilistic approach to the geometry of the ℓpn-ball

Franck Barthe, Olivier Guédon, Shahar Mendelson et al. · The Annals of Probability · 2005 · 172 citations · Full text

Sobolev inequalities for probability measures on the real line

Franck Barthe, Cyril Roberto · Studia Mathematica · 2003 · 103 citations · Full text

Interpolated inequalities between exponential and Gaussian, \nOrlicz hypercontractivity and isoperimetry

Franck Barthe, Patrick Cattiaux, Cyril Roberto · Project Euclid (Cornell University) · 94 citations

On the rate of convergence in the entropic central limit theorem

Shiri Artstein, Keith Ball, Franck Barthe et al. · Probability Theory and Related Fields · 2004 · 77 citations · Full text

Engineering, Probability Theory, Stochastic Geometry +4