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arXiv · 1402.3512

Probability that n random points in a disk are in convex position

Jean-François Marckert
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Abstract

In this paper we give a formula for the probability that $n$ random points chosen under the uniform distribution in a disk are in convex position. While close, the formula is recursive and is totally explicit only for the first values of $n$.

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Jean-François Marckert. 2014-02-14. Probability that n random points in a disk are in convex position. https://arxiv.org/abs/1402.3512

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