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 2015Show all

3 papers · 1 filter

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…

math.FA2015

Brascamp-Lieb inequality and quantitative versions of Helly's theorem

Silouanos Brazitikos

We provide a number of new quantitative versions of Helly's theorem. For example, we show that for every family ${P_{i} : i \in I}$ of closed half-spaces $$P_i=\{x\in {\mathbb R}^n:\l…