most citedTransportation cost-information inequalities and applications to random dynamical systems and diffusions

255 citations · 255 across the 2 of their papers we have counts for

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math.PR2005

Modified logarithmic Sobolev inequalities in null curvature

Ivan Gentil, Arnaud Guillin, Laurent Miclo

We present a logarithmic Sobolev inequality adapted to a log-concave measure. Assume that is a symmetric convex function on $\dR$ satisfying $(1+\e)Φ(x)\leq {x}Φ'(x)\leq(2-\e)Φ…

math.PR2004★ 255 cited

Transportation cost-information inequalities and applications to random dynamical systems and diffusions

H. Djellout, A. Guillin, L. Wu

We first give a characterization of the L^1-transportation cost-information inequality on a metric space and next find some appropriate sufficient condition to transportation cost-…

math.PR2003★ 2 cited

A criterion for Talagrand's quadratic transportation cost inequality

Patrick Cattiaux, Arnaud Guillin

We show that the quadratic transportation cost inequality is equivalent to both a Poincaré inequality and a strong form of the Gaussian concentration property. The main ingre…