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Modified logarithmic Sobolev inequalities on R | | Franck Barthe
; Cyril Roberto
; | | Date: |
1 Dec 2006 | | Subject: | Probability | | Abstract: | We provide a sufficient condition for a measure on the real line to satisfy a modified logarithmic Sobolev inequality, thus extending the criterion of Bobkov and G"{o}tze. Under mild assumptions the condition is also necessary. Concentration inequalities are derived. This completes the picture given in recent contributions by Gentil, Guillin and Miclo. | | Source: | arXiv, math/0612026 | | Services: | Forum | Review | PDF | Favorites | |
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