2 citations · 3 across the 5 of their papers we have counts for
6 papers
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 -Lipschitz image is preserved when both measures undergo Gaussian convolution. We show that…
Least singular values of shifted sparse random combinatorial matrices
Dongbin Li, Alexander E. Litvak, Tingzhou Yu
Let be an random matrix with entries in , where each row is independently and uniformly sampled from the set of all vectors in containing e…
Metric complexity is a Bryant--Tupper diversity
Gautam Aishwarya, Dongbin Li, Mokshay Madiman +1
The metric complexity (sometimes called Leinster--Cobbold maximum diversity) of a compact metric space is a recently introduced isometry-invariant of compact metric spaces which ge…
Entropic and functional forms of the dimensional Brunn--Minkowski inequality in Gauss space
Gautam Aishwarya, Dongbin Li
Given even strongly log-concave random vectors and in , we show that a natural joint distribution satisfies, \begin{equation} e^{ - \f…
The Kneser--Poulsen phenomena for entropy
Gautam Aishwarya, Dongbin Li
The Kneser--Poulsen conjecture asserts that the volume of a union of balls in Euclidean space cannot be increased by bringing their centres pairwise closer. We prove that its natur…
Entropic exercises around the Kneser-Poulsen conjecture
Gautam Aishwarya, Irfan Alam, Dongbin Li +2
We develop an information-theoretic approach to study the Kneser--Poulsen conjecture in discrete geometry. This leads us to a broad question regarding whether Rényi entropies of in…