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math.FA2026
A Chaining Approach to Canonical Processes with Log-Concave Tails
Xuanang Hu, Hanchao Wang, Xinglong Wu
We prove a decomposition theorem for canonical processes generated by independent symmetric random variables with log-concave tails, without the condition. The proof uses the…
math.FA2026
Failure of Convex-Hull Bounds under Log-Convex Tails
Xuanang Hu, Hanchao Wang
Fix , and let be independent symmetric Weibull random variables, that is, \[ \textsf{P}(|X_i|>t)=e^{-t^r},\qquad t\ge 0. \] We prove that there is no co…