Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below, Inventiones mathematicae, vol.196, issue.1???2, pp.289-391, 2014. ,
DOI : 10.1007/s00222-013-0456-1
URL : https://hal.archives-ouvertes.fr/hal-00769378
Hypercontractivity of Hamilton-Jacobi equations, J. Math. Pures Appl, vol.80, issue.17, pp.669-696, 2001. ,
Discrete isoperimetric and Poincaré-type inequalities, Probab. Theory Related Fields, pp.245-277, 1999. ,
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities, J. Funct. Anal, vol.163, issue.1, pp.1-28, 1999. ,
Weak dimension-free concentration of measure, Bernoulli, vol.6, issue.4, pp.621-632, 2000. ,
Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution, Probab. Theory Related Fields, vol.107, issue.3, pp.383-400, 1997. ,
Measure theory, pp.2267655-2267669, 2007. ,
Concentration inequalities A nonasymptotic theory of independence ,
URL : https://hal.archives-ouvertes.fr/hal-00794821
Inequalities for E k(X, Y) when the marginals are fixed, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.13, issue.14, pp.285-294, 1976. ,
DOI : 10.1007/BF00532695
Transportation cost-information inequalities and applications to random dynamical systems and diffusions, Ann. Probab, vol.32, issue.3B 2, pp.2702-2732, 2004. ,
Real analysis and probability, Cambridge Studies in Advanced Mathematics, vol.74, p.14, 2002. ,
DOI : 10.1017/CBO9780511755347
A note on the convex infimum convolution inequality, 2015. ,
Sur les tableaux dont les marges et des bornes sont donnees, Revue de l'Institut International de Statistique / Review of the International Statistical Institute, vol.28, issue.1/2, pp.10-32, 1960. ,
DOI : 10.2307/1401846
A characterization of dimension free concentration in terms of transportation inequalities, The Annals of Probability, vol.37, issue.6, pp.2480-2498, 2009. ,
DOI : 10.1214/09-AOP470
URL : https://hal.archives-ouvertes.fr/hal-00274548
Transport-entropy inequalities on the line, Electron, J. Probab, vol.17, issue.18, 2012. ,
Transport inequalities. A survey, Markov Process, pp.635-736, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00515419
A new characterization of Talagrand???s transport-entropy inequalities and applications, The Annals of Probability, vol.39, issue.3, pp.857-880, 2011. ,
DOI : 10.1214/10-AOP570
Hamilton Jacobi equations on metric spaces and transport entropy inequalities, Revista Matem??tica Iberoamericana, vol.30, issue.1, pp.133-163, 2014. ,
DOI : 10.4171/RMI/772
URL : https://hal.archives-ouvertes.fr/hal-00795829
Kantorovich duality for general transport costs and applications, p.16, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01098114
Peacocks and associated martingales , with explicit constructions, pp.2011-2808243 ,
DOI : 10.1007/978-88-470-1908-9
URL : https://hal.archives-ouvertes.fr/hal-00657769
The concentration of measure phenomenon, Mathematical Surveys and Monographs, vol.89, 2001. ,
DOI : 10.1090/surv/089
Hamilton???Jacobi semigroup on length spaces and applications, Journal de Math??matiques Pures et Appliqu??es, vol.88, issue.3, pp.219-229, 2007. ,
DOI : 10.1016/j.matpur.2007.06.003
Inequalities: theory of majorization and its applications, 2007. ,
DOI : 10.1007/978-0-387-68276-1
A simple proof of the blowing-up lemma (Corresp.), IEEE Transactions on Information Theory, vol.32, issue.3, pp.445-446, 1986. ,
DOI : 10.1109/TIT.1986.1057176
Bounding $\bar{d}$-distance by informational divergence: a method to prove measure concentration, The Annals of Probability, vol.24, issue.2, pp.857-866, 1996. ,
DOI : 10.1214/aop/1039639365
A measure concentration inequality for contracting markov chains, Geometric and Functional Analysis, vol.81, issue.158, pp.556-571, 1996. ,
DOI : 10.1007/BF02249263
An inequality for relative entropy and logarithmic Sobolev inequalities in Euclidean spaces, Journal of Functional Analysis, vol.264, issue.1, pp.34-61, 2013. ,
DOI : 10.1016/j.jfa.2012.10.001
Some deviation inequalities, Geometric and Functional Analysis, vol.104, issue.2, pp.188-197, 1991. ,
DOI : 10.1007/BF01896377
Concentration inequalities for convex functions on product spaces, Stochastic inequalities and applications, Progr. Probab, vol.56, pp.33-52, 2003. ,
The Existence of Probability Measures with Given Marginals, The Annals of Mathematical Statistics, vol.36, issue.2, pp.423-439, 1965. ,
DOI : 10.1214/aoms/1177700153
Transportation cost for Gaussian and other product measures, Geometric and Functional Analysis, vol.27, issue.3, pp.587-600, 1996. ,
DOI : 10.1007/BF02249265
Optimal transport: Old and new, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of, Mathematical Sciences], vol.338, issue.15, p.17, 2009. ,
DOI : 10.1007/978-3-540-71050-9
Concentration inequalities for Gibbs sampling under d l 2 -metric, Electron, Commun. Probab, vol.19, issue.63 2, pp.11-3262069, 2014. ,
Poincar?? and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition, The Annals of Probability, vol.34, issue.5, 1960. ,
DOI : 10.1214/009117906000000368