Transport Inequalities. A Survey
arXiv:1003.3852
Abstract
This is a survey of recent developments in the area of transport inequalities. We investigate their consequences in terms of concentration and deviation inequalities and sketch their links with other functional inequalities and also large deviation theory.
Proceedings of the conference Inhomogeneous Random Systems 2009; 82 pages.
References in corpus (5)
- Transportation cost-information inequalities and applications to random dynamical systems and diffusions
- Measure concentration for Euclidean distance in the case of dependent random variables
- Isoperimetric and Concentration Inequalities - Equivalence under Curvature Lower Bound
- Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities
- From Super Poincaré to Weighted Log-Sobolev and Entropy-Cost Inequalities
Cited by in corpus (4)
- Martingale Methods for Sequential Estimation of Convex Functionals and Divergences
- Clustering a Mixture of Gaussians with Unknown Covariance
- Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane
- Penalized Langevin dynamics with vanishing penalty for smooth and log-concave targets