Modified Logarithmic Sobolev Inequalities and Transportation Cost Inequalities in ℝn
✍ Scribed by Jinghai Shao
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 468 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0926-2601
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📜 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 for any positive function f on the discrete cube [0, 1] n , where + n p is the product measure of the Bernoulli measure with probability of success p, as well as related inequalities, which may be shown to imply in the limit the classical Gaussian logarithmic Sobolev inequality as well