5 citations · 6 across the 3 of their papers we have counts for
3 papers
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.FA2005★ 1 cited
Logarithmic Sobolev inequality for log-concave measure from Prekopa-Leindler inequality
Ivan Gentil
We develop in this paper an amelioration of the method given by S. Bobkov and M. Ledoux in GAFA (2000). We prove by Prekopa-Leindler Theorem an optimal modified logarithmic Sobolev…
math.AP2004★ 5 cited
A nonlinear fourth-order parabolic equation and related logarithmic Sobolev inequalities
J. Dolbeault, I. Gentil, A. Jungel
A nonlinear fourth-order parabolic equation in one space dimension with periodic boundary conditions is studied. This equation arises in the context of fluctuations of a stationary…