Transport Inequalities. A Survey
Nathael Gozlan, Christian L\'eonard
TL;DR
This survey reviews recent advances in transport inequalities, exploring their implications for concentration, deviation, and connections with other functional inequalities and large deviation theory.
Contribution
It provides a comprehensive overview of recent developments and links transport inequalities to broader areas in probability and analysis.
Findings
Transport inequalities imply strong concentration results.
Connections established between transport and other functional inequalities.
Transport inequalities relate to large deviation principles.
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.
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Taxonomy
TopicsPoint processes and geometric inequalities · Urban Transport and Accessibility