255 citations · 264 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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-…
Moderate deviations for particle filtering
R. Douc, A. Guillin, J. Najim
Consider the state space model (X_t,Y_t), where (X_t) is a Markov chain, and (Y_t) are the observations. In order to solve the so-called filtering problem, one has to compute L(X_t…
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…