52 citations · 180 across the 41 of their papers we have counts for
Showing 2022 · math.FAShow all
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math.FA2022★ 3 cited
Resilience of cube slicing in
Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz
Ball's celebrated cube slicing (1986) asserts that among hyperplane sections of the cube in , the central section orthogonal to has the greatest vol…
math.FA2022★ 11 cited
Extremal sections and projections of certain convex bodies: a survey
Piotr Nayar, Tomasz Tkocz
We survey results concerning sharp estimates on volumes of sections and projections of certain convex bodies, mainly balls, by and onto lower dimensional subspaces. This s…
math.FA2022★ 1 cited
Complex Hanner's Inequality for Many Functions
Jonathan Jenkins, Tomasz Tkocz
We establish Hanner's inequality for arbitrarily many functions in the setting where the Rademacher distribution is replaced with higher dimensional random vectors uniform on Eucli…