L. Morin

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20182025

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Showing 2024Show all

3 papers · 1 filter

math.CO2024

The Sylvester question in $R^{d}$ : convex sets with a flat floor

Jean-François Marckert, Ludovic Morin

Pick $n$ independent and uniform random points $U_{1}, \dots, U_{n}$ in a compact convex set $K$ of $R^{d}$ with volume 1, and let $P_{K}^{(d)} (n)$ be the probability that these po…

math.PR2024

Probability that $n$ points are in convex position in a general convex polygon: Asymptotic results

Ludovic Morin

Let $P_{K} (n)$ be the probability that $n$ points $z_{1}, \dots, z_{n}$ picked uniformly and independently in $K$ , a non-flat compact convex polygon in $R^{2}$ , are in con…

math.PR2024

Probability that $n$ points are in convex position in a regular $κ$ -gon : Asymptotic results

Ludovic Morin

Let $P_{κ} (n)$ be the probability that $n$ points $z_{1}, \dots, z_{n}$ picked uniformly and independently in $C_{κ}$ , a regular $κ$ -gon with area $1$ , are in convex pos…

The Sylvester question in Rd: convex sets with a flat floor

Probability that n points are in convex position in a general convex polygon: Asymptotic results

Probability that n points are in convex position in a regular κ-gon : Asymptotic results

The Sylvester question in $R^{d}$ : convex sets with a flat floor

Probability that $n$ points are in convex position in a general convex polygon: Asymptotic results

Probability that $n$ points are in convex position in a regular $κ$ -gon : Asymptotic results