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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.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…