The Annals of Probability
- Ann. Probab.
- Volume 41, Number 5 (2013), 3112-3139.
Characterization of Talagrand’s transport-entropy inequalities in metric spaces
N. Gozlan, C. Roberto, and P.-M. Samson
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Abstract
We give a characterization of transport-entropy inequalities in metric spaces. As an application we deduce that such inequalities are stable under bounded perturbation (Holley–Stroock perturbation lemma).
Article information
Source
Ann. Probab. Volume 41, Number 5 (2013), 3112-3139.
Dates
First available in Project Euclid: 12 September 2013
Permanent link to this document
http://projecteuclid.org/euclid.aop/1378991833
Digital Object Identifier
doi:10.1214/12-AOP757
Mathematical Reviews number (MathSciNet)
MR3127876
Zentralblatt MATH identifier
1283.60029
Subjects
Primary: 60E15: Inequalities; stochastic orderings 26D10: Inequalities involving derivatives and differential and integral operators
Keywords
Transport-entropy inequalities logarithmic-Sobolev inequalities metric spaces concentration of measure
Citation
Gozlan, N.; Roberto, C.; Samson, P.-M. Characterization of Talagrand’s transport-entropy inequalities in metric spaces. Ann. Probab. 41 (2013), no. 5, 3112--3139. doi:10.1214/12-AOP757. http://projecteuclid.org/euclid.aop/1378991833.
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