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

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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 -Lipschitz image is preserved when both measures undergo Gaussian convolution. We show that…

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…