Dongbin Li

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math.PR2026

Least singular values of shifted sparse random combinatorial matrices

Dongbin Li, Alexander E. Litvak, Tingzhou Yu

Let $M_{n}$ be an $n \times n$ random matrix with entries in ${0, 1}$ , where each row is independently and uniformly sampled from the set of all vectors in ${0, 1}^{n}$ containing e…

math.PR2026

Entropic and functional forms of the dimensional Brunn--Minkowski inequality in Gauss space

Gautam Aishwarya, Dongbin Li

Given even strongly log-concave random vectors $X_{0}$ and $X_{1}$ in $R^{n}$ , we show that a natural joint distribution $(X_{0}, X_{1})$ satisfies, \begin{equation} e^{ - \f…