Title: Tossing Coins and the Khintchine Inequalities

报告人：梅韬教授 美国贝勒大学

时间：2024年11月29日10:00-12:00

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https://baylor.zoom.us/j/82884299530?pwd=wRbR5hpnWRuNExj3aaaFgYt3bqq60y.1

Meeting ID: 828 8429 9530

Passcode: 269364

Abstract: The simple act of tossing coins exemplifies one of the most fundamental models of independent and identically distributed (i.i.d.) random variables. In this talk, we will explore the classical Khintchine inequalities, which provide essential bounds on the moments of sums of i.i.d. symmetric random variables. These inequalities, rooted in probability theory, reveal unexpected depth in the behavior of random processes and serve as a bridge connecting probability, harmonic analysis, and number theory.

We will journey through the historical development, key proofs, and significant implications of these inequalities, while also presenting some of my recent research contributions that extend and apply Khintchine's results to Riesz transforms. Portions of this talk are based on joint work with Junge, and Parcet. No prior expertise in advanced probability theory will be assumed.