P. Nayar

activity

20152021

most citedA note on the convex infimum convolution inequality

6 citations · 7 across the 6 of their papers we have counts for

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math.MG2021

Reverse isoperimetric inequalities for parallel sets

Piotr Nayar

We consider the family of $r$ -parallel sets in $R^{d}$ , that is sets of the form $A_{r} = A + r B_{2}^{n}$ , where $B_{2}^{n}$ is the unit Euclidean ball and $A$ is an arbitrary Borel set.…

math.MG2018

On a convexity property of sections of the cross-polytope

Piotr Nayar, Tomasz Tkocz

We establish the log-concavity of the volume of central sections of dilations of the cross-polytope (the strong B-inequality for the cross-polytope and Lebesgue measure restricted…