Transport inequalities and Concentration of measure
ESAIM. Proceedings, Tome 51 (2015), pp. 1-23.

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We give a short introduction to the concentration of measure phenomenon and connect it with different functional inequalities (Poincaré, Talagrand and Log-Sobolev inequalities).
DOI : 10.1051/proc/201551001

Nathael Gozlan 1

1 Université Paris Est Marne la Vallée - Laboratoire d’Analyse et de Mathématiques Appliquées (UMR CNRS 8050), 5 bd Descartes, 77454 Marne la Vallée Cedex 2, France.
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     title = {Transport inequalities and {Concentration} of measure},
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Nathael Gozlan. Transport inequalities and Concentration of measure. ESAIM. Proceedings, Tome 51 (2015), pp. 1-23. doi : 10.1051/proc/201551001. http://geodesic.mathdoc.fr/articles/10.1051/proc/201551001/

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