Mathias Sonnleitner

collaborators

2 papers

math.PR2025

Central limit theorems for random boundary polytopes

Matthias Reitzner, Mathias Sonnleitner

The number of faces of the convex hull of $n$ independent and identically distributed random points chosen on the boundary of a smooth convex body in $R^{d}$ is investigated…

math.PR2025

A limit theorem for Hausdorff approximation by random inscribed polytopes

Mathias Sonnleitner

Approximate a smooth convex body $K$ with nonvanishing curvature by the convex hull of $n$ independent random points sampled from its boundary $\partial K$ . In case the points are…