讨论班

A Combinatorial Approach to Some Distribution-free Probabilistic Inequalities

2019-10-22 12:03

报告人: 李建阁

报告人单位: 希伯来大学

时间: 2019-11-07 16:30-17:30

地点: 卫津路校区6号楼111教

开始时间: 16:30

报告人简介: 博士

年: 2019

日月: 11.07

This talk is focused on the comparison between the probabilities that the sums and differences of independent, identically distributed randomelements take values in very general sets. Depending on the setting--abelian or nonabelian groups, or vector spaces, or Banach spaces--many of these inequalities are sharp in various cases of interest. We prove these distribution-free probabilistic inequalities by showing that underlying them are inequalities of extremal combinatorial nature, related among other things to classical packing problems such as the kissing number problem. Applications are given to moment inequalities. (Joint work with Zhao Dong, Wenbo Li, and Mokshay Madiman).


Contact us

Add:Building 32, The School of Mathematics, Tianjin University Beiyangyuan Campus,

        No. 135, Ya Guan Road, Jinnan District, Tianjin, PRC 

Tel:022-27403615   Mail:maths@tju.edu.cn