Speaker: 王汉超，山东大学

Inviter: 随机分析研究中心

Title: A Decomposition Theorem for Canonical Processes with Log-Concave Tails

Language: Chinese

Time & Venue: 2026.11.06 09:30-10:30 南楼N613

Abstract: Talagrand’s majorizing measure theorem is a cornerstone of the theory of Gaussian processes, providing a geometric characterization of their expected suprema. In their 2014 work, Bednorz and Latała resolved Talagrand’s Bernoulli conjecture by establishing a decomposition theorem for Bernoulli processes. For the broader class of canonical processes generated by independent symmetric random variables with log-concave tails, an analogous decomposition had remained unavailable in full generality. In this talk, I will present our recent work establishing such a decomposition without imposing the ($\Delta_2$) condition on the tails. This is joint work with Xuanang Hu and Xinglong Wu.