3 papers
math.PR2026
Sharp singularity asymptotics for discrete random matrices
Xuanang Hu, Zeyan Song, Xinglong Wu
We resolve the Rademacher singularity conjecture: an matrix with independent uniform entries is singular with probability . More generally…
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.PR2026
A Counterexample to Talagrand's Operator Cotype Problem
Xinglong Wu
Talagrand asked whether the Rademacher cotype of an operator is universally controlled by the maximum of its Gaussian cotype and its -summing norm. We give a negative answer…