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

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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…

math.MG2024

Stability in the Banach isometric conjecture and nearly monochromatic Finsler surfaces

Gautam Aishwarya, Dmitry Faifman

The Banach isometric conjecture asserts that a normed space with all of its -dimensional subspaces isometric, where , is Euclidean. The first case of is classical…