A new characterization of Talagrand's transport-entropy inequalities and applications
ANNALS OF PROBABILITY(2011)
摘要
We show that Talaurand's transport inequality is equivalent to a restricted logarithmic Sobolev inequality. This result clarifies the links between these two important functional inequalities. As an application, we give the first proof of the fact that Talagrand's inequality is stable under bounded perturbations.
更多查看译文
关键词
Concentration of measure,transport inequalities,Hamilton-Jacobi equations,logarithmic-Sobolev inequalities
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要