We show that transport inequalities, similar to the one derived by M. Talagrand (1996, Geom. Funct. Anal. 6, 587 600) for the Gaussian measure, are implied by logarithmic Sobolev inequalities. Conversely, Talagrand's inequality implies a logarithmic Sobolev inequality if the density of the measure i
✦ LIBER ✦
A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality
✍ Scribed by Patrick Cattiaux; Arnaud Guillin; Li-Ming Wu
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 250 KB
- Volume
- 148
- Category
- Article
- ISSN
- 1432-2064
No coin nor oath required. For personal study only.
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