3 papers
math.MG2025
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…
math.PR2025
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…
math.MG2024
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…