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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…