1 citations · 2 across the 6 of their papers we have counts for
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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…
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…
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…
New Brunn--Minkowski and functional inequalities via convexity of entropy
Gautam Aishwarya, Liran Rotem
We study the connection between the concavity properties of a measure and the convexity properties of the associated relative entropy along optimal transport…