Transport Inequalities for Log-concave Measures, Quantitative Forms, and Applications

DOI10.4153/CJM-2016-046-3zbMath1388.60057arXiv1504.06147OpenAlexW2962893338MaRDI QIDQ5272502

Dario Cordero-Erausquin

Publication date: 29 June 2017

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06147

zbMATH Keywords

log-concave measurestransport inequalityBrascamp-Lieb inequalityquantitative inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (11)

Instability results for the logarithmic Sobolev inequality and its application to related inequalities ⋮ An entropic generalization of Caffarelli's contraction theorem via covariance inequalities ⋮ A Stein deficit for the logarithmic Sobolev inequality ⋮ Stability of the logarithmic Sobolev inequality via the Föllmer process ⋮ Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities ⋮ A sharp symmetrized form of Talagrand's transport-entropy inequality for the Gaussian measure ⋮ Some remarks on the stability of the log-Sobolev inequality for the Gaussian measure ⋮ Stability of the Prékopa-Leindler inequality for log-concave functions ⋮ Stability of Talagrand's Gaussian transport-entropy inequality via the Föllmer process ⋮ Intertwinings, second-order Brascamp–Lieb inequalities and spectral estimates ⋮ Intertwining relations for diffusions in manifolds and applications to functional inequalities

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