A new characterization of Talagrand's transport-entropy inequalities and applications
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Publication:533741
DOI10.1214/10-AOP570zbMath1233.60007arXiv1104.1303OpenAlexW3100376590MaRDI QIDQ533741
Cyril Roberto, Nathael Gozlan, Paul-Marie Samson
Publication date: 6 May 2011
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.1303
Hamilton-Jacobi equationslogarithmic Sobolev inequalitiesconcentration of measureTalagrand inequalitytransport inequalities
Inequalities; stochastic orderings (60E15) Large deviations (60F10) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (18)
A new characterization of quadratic transportation-information inequalities ⋮ Characterization of a class of weak transport-entropy inequalities on the line ⋮ Kantorovich duality for general transport costs and applications ⋮ Characterization of Talagrand's transport-entropy inequalities in metric spaces ⋮ Transportation cost inequalities for neutral functional stochastic equations ⋮ Concentration for multidimensional diffusions and their boundary local times ⋮ Log-Hessian and deviation bounds for Markov semi-groups, and regularization effect in \(\mathbb{L}^1 \) ⋮ Properties of isoperimetric, functional and transport-entropy inequalities via concentration ⋮ From concentration to logarithmic Sobolev and Poincaré inequalities ⋮ A variational approach to some transport inequalities ⋮ Hamilton Jacobi equations on metric spaces and transport entropy inequalities ⋮ Functional inequalities and Hamilton-Jacobi equations in geodesic spaces ⋮ Transport inequalities for random point measures ⋮ Talagrand inequality on free path space and application to stochastic reaction diffusion equations ⋮ Some remarks on the stability of the log-Sobolev inequality for the Gaussian measure ⋮ The Poincaré inequality and quadratic transportation-variance inequalities ⋮ Around the entropic talagrand inequality ⋮ Transportation cost inequalities for SDEs with irregular drifts
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