Transport Inequalities. A Survey

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 (3)

• Transportation cost-information inequalities and applications to random dynamical systems and diffusions
• Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities
• From Super Poincaré to Weighted Log-Sobolev and Entropy-Cost Inequalities