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Characterization of Talagrand's like transportation-cost inequalities on the real line
- Source :
-
Journal of Functional Analysis . Sep2007, Vol. 250 Issue 2, p400-425. 26p. - Publication Year :
- 2007
-
Abstract
- Abstract: 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 . [Copyright &y& Elsevier]
- Subjects :
- *FUNCTIONAL analysis
*CALCULUS of variations
*MATHEMATICS
*MAXIMA & minima
Subjects
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 250
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 26146727
- Full Text :
- https://doi.org/10.1016/j.jfa.2007.05.025