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- W1504685514 abstract "For a convex body $K$ in the plane, let $p(n, K)$ denote the probability that $n$ random, independent, and uniform points from $K$ are in convex position, that is, none of them lies in the convex hull of the others. Here we determine the asymptotic behavior of $p(n, K)$ by showing that, as $n$ goes to infinity,$ {n^2}^nsqrt{p(n,K)}$ tends to a finite and positive limit." @default.
- W1504685514 created "2016-06-24" @default.
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- W1504685514 date "1999-10-01" @default.
- W1504685514 modified "2023-10-06" @default.
- W1504685514 title "Sylvester’s Question: The Probability That $n$ Points are in Convex Position" @default.
- W1504685514 doi "https://doi.org/10.1214/aop/1022874826" @default.
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