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20232026
most citedEntropic and functional forms of the dimensional Brunn--Minkowski inequality in Gauss space

1 citations · 2 across the 6 of their papers we have counts for

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math.DG2025

Sectional curvature and matrix displacement convexity

Gautam Aishwarya, Liran Rotem, Yair Shenfeld

We show that the sectional curvature of a Riemannian manifold is nonnegative if, and only if, the entropy tensor is matrix displacement convex. As an application, under the assumpt…

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★ 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 and in , we show that a natural joint distribution satisfies, \begin{equation} e^{ - \f…