L. Morin

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20182025

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Showing math.PRShow all

4 papers · 1 filter

math.PR2025

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

Jean-François 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.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…

math.PR2018

Estimation of Local Anisotropy Based on Level Sets

Corinne Berzin

Consider an affine Gaussian field X : R 2 $\to$ R, that is a process equal in law to Z(At), where Z is isotropic and A : R2 $\to$ R2 is a self-adjoint definite posi…

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

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

Estimation of Local Anisotropy Based on Level Sets

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