Dongbin Li

activity

20222026

most citedEntropic exercises around the Kneser-Poulsen conjecture

2 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2026

Gaussian Convolution, Internal Energies, and the Kneser--Poulsen Conjecture

Gautam Aishwarya, Dongbin Li

We study to what extent the majorisation order between a probability measure and its $1$ -Lipschitz image is preserved when both measures undergo Gaussian convolution. We show that…

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.PR2025★ 1 cited

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…