Speaker:Piotr Nayar (University of Warsaw)
Time: Wednesday, October 19, 2022, 16:00-17:30.
Abstract: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.