L. Morin

activity

20242026

collaborators

4 papers

math.PR2026

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.PR2025

Conditioning random points by the number of vertices of their convex hull: the bi-pointed case

Jean-FranÃ§ois Marckert, Ludovic Morin

Pick $N$ random points $U_{1}, \dots, U_{N}$ independently and uniformly in a triangle ABC with area 1, and take the convex hull of the set ${A, B, U_{1}, \dots, U_{N}}$ . The boundary of…

math.CO2024

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

Jean-FranÃ§ois 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 regular $I^º$ -gon : Asymptotic results

Ludovic Morin

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

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

Conditioning random points by the number of vertices of their convex hull: the bi-pointed case

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

Probability that n points are in convex position in a regular I^º-gon : Asymptotic results

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

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

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