CHARACTERIZATION OF TALAGRAND'S LIKE TRANSPORTATION-COST INEQUALITIES ON THE REAL LINE. - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Article Dans Une Revue Journal of Functional Analysis Année : 2007

CHARACTERIZATION OF TALAGRAND'S LIKE TRANSPORTATION-COST INEQUALITIES ON THE REAL LINE.

Résumé

In this paper, we give necessary and sufficient conditions for Talagrand's like transportation cost inequalities on the real line. This brings a new wide class of examples of probability measures enjoying a dimension-free concentration of measure property. Another byproduct is the characterization of modified Log-Sobolev inequalities for Log-concave probability measures on R.
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Dates et versions

hal-00089099 , version 1 (09-08-2006)

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Citer

Nathael Gozlan. CHARACTERIZATION OF TALAGRAND'S LIKE TRANSPORTATION-COST INEQUALITIES ON THE REAL LINE.. Journal of Functional Analysis, 2007, 250 (2), pp.400--425. ⟨10.1016/j.jfa.2007.05.025⟩. ⟨hal-00089099⟩
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