Mass Transport and Variants of the Logarithmic Sobolev Inequality
β Scribed by Franck Barthe; Alexander V. Kolesnikov
- Book ID
- 107627461
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 719 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1050-6926
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study some problems on exponential integrability, concentration of measure, and transportation cost related to logarithmic Sobolev inequalities. On the real line, we then give a characterization of those probability measures which satisfy these inequalities 1999 Academic Press
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