A chaotic random convex hull

Olivier Devillers 1 Marc Glisse 1 Rémy Thomasse 1
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
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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Poster communications
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https://hal.inria.fr/hal-01015598
Contributor : Rémy Thomasse <>
Submitted on : Thursday, June 26, 2014 - 5:21:10 PM
Last modification on : Friday, September 20, 2019 - 4:56:34 PM
Long-term archiving on : Friday, September 26, 2014 - 12:40:37 PM

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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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