Beckner's Inequality - From Very Simple to Very Complex
发布时间:2016年10月25日
浏览次数:9191
发布者: Ningbo Lu
主讲人: 徐佩(美国西北大学与中国科技大学)
活动时间: 从 2016-09-14 16:00 到 17:00
场地: Room 77201,Jingchunyuan 78,BICMR
Beckner's inequality is a series of inequalities indexed by a parameter between 1 and 2 which interpolate between the Poincare inequality and the logarithmic Sobolev inequality, originally proved for the standard Gaussian measure. I will discuss this inequality in various settings, from the very simple two point distribution to the path space over a compact Riemannian manifold and show the rich content of this inequality in relation to probability theory and, in particular, stochastic analysis.