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Poster Communications Year : 2014

A chaotic random convex hull

Olivier Devillers
Marc Glisse
Rémy Thomasse
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Abstract

The asymptotic behavior of the expected size of the convex hull of uniformly random points in a convex body in Rd is polynomial for a smooth body and polylogarithmic for a polytope. We construct a body whose expected size of the convex hull oscillates between these two behaviors when the number of points increases.
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Dates and versions

hal-01015598 , version 1 (26-06-2014)

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  • HAL Id : hal-01015598 , version 1

Cite

Olivier Devillers, Marc Glisse, Rémy Thomasse. A chaotic random convex hull. AofA 2014- 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Jun 2014, Paris, France. ⟨hal-01015598⟩

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