题目:The Khintchine inequality
报告人:Piotr Nayar (University of Warsaw)
时间:2022年10月19日(星期三),16:00-17:30
Zoom会议:会议号:882 8540 7533,会议密码:028422
会议链接:https://zoom.us/j/88285407533?pwd=NFlsWlZlb2F3c3VmMHBqOXVud1NpQT09
摘要:We shall discuss the celebrated moment comparison for weighted sums of i.i.d. symmetric Bernoulli random variables, proved in 1923 by Khinchine. This inequality influenced several areas of mathematics, including probability theory, Banach spaces theory and convex geometry. We will focus on the problem of finding optimal constants and present the most elegant proofs, both old and new.
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