P. Nayar

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20112023

most citedGaussian mixtures: entropy and geometric inequalities

52 citations · 130 across the 26 of their papers we have counts for

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Showing 2022 · math.FAShow all

2 papers · 2 filters

math.FA2022★ 3 cited

Resilience of cube slicing in $ℓ_{p}$

Alexandros Eskenazis, Piotr Nayar, Tomasz Tkocz

Ball's celebrated cube slicing (1986) asserts that among hyperplane sections of the cube in $R^{n}$ , the central section orthogonal to $(1, 1, 0, \dots, 0)$ 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 $ℓ_{p}$ balls, by and onto lower dimensional subspaces. This s…

Resilience of cube slicing in ℓp​

Extremal sections and projections of certain convex bodies: a survey

Resilience of cube slicing in $ℓ_{p}$