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- W4309402395 abstract "We present a class of modified logarithmic Sobolev inequality, interpolating between Poincar'e and logarithmic Sobolev inequalities, suitable for measures of the type $exp(-|x|^al)$ or more complex $exp(-|x|^allog^beta(2+|x|))$ ($alin]1,2[$ and $beindR$) which lead to new concentration inequalities. These modified inequalities share common properties with usual logarithmic Sobolev inequalities, as tensorisation or perturbation, and imply as well Poincar'e inequality. We also study the link between these new modified logarithmic Sobolev inequalities and transportation inequalities." @default.
- W4309402395 created "2022-11-26" @default.
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- W4309402395 date "2004-05-27" @default.
- W4309402395 modified "2023-09-27" @default.
- W4309402395 title "Modified logarithmic Sobolev inequalities and transportation inequalities" @default.
- W4309402395 doi "https://doi.org/10.48550/arxiv.math/0405520" @default.
- W4309402395 hasPublicationYear "2004" @default.
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