Wenbo V. Li

Title: Gaussian Inequalities and Conjectures

Abstract: Gaussian inequalities play a fundamental role in the study of high dimensional probability, statistics and geometric analysis. Loosely speaking, the goal of Gaussian inequalities consists of searching for an inequality between dependent (complicated) and independent (simpler) structures that becomes an equality in certain (possibility limiting) cases. We first provide an overview of various Gaussian inequalities and then present several recent results and conjectures for Gaussian measure/vectors, together with various applications.
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    Last modified Oct. 10, 2010 by Wenbo V. Li,