S. Brazitikos

activity

20152026

most citedThreshold for the expected measure of random polytopes

6 citations · 10 across the 20 of their papers we have counts for

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Showing 2015 · math.MGShow all

2 papers · 2 filters

math.MG2015

Random approximation and the vertex index of convex bodies

Silouanos Brazitikos, Giorgos Chasapis, Labrini Hioni

We prove that there exists an absolute constant $α > 1$ with the following property: if $K$ is a convex body in $R^{n}$ whose center of mass is at the origin, then a random s…

math.MG2015★ 3 cited

Fractional Helly theorem for the diameter of convex sets

Silouanos Brazitikos

We provide a new quantitative version of Helly's theorem: there exists an absolute constant $α > 1$ with the following property: if ${P_{i} : i \in I}$ is a finite family of convex bod…