Florian Besau

activity

20142026

most citedWeighted floating bodies and polytopal approximation

25 citations · 36 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.PR2026

Random hyperbolic polyhedra in horoballs

Florian Besau, Anna Gusakova, Christoph Thäle

We study the geodesic convex hull of a stationary Poisson point process restricted to a horoball in $d$ -dimensional hyperbolic space. The resulting random set is an unbounded hyper…

math.PR2025

Random convex chains through the lens of analytic combinatorics

Florian Besau, Christoph Thäle

Consider the triangle $T$ with vertices $(0, 0)$ , $(0, 1)$ , and $(1, 0)$ . The lower boundary of the convex hull of $(0, 1)$ , $(1, 0)$ , together with $n$ independent uniformly distribute…

math.PR2024

Random polytopes in convex bodies: Bridging the gap between extremal containers

Florian Besau, Anna Gusakova, Christoph Thäle

We investigate the asymptotic properties of random polytopes arising as convex hulls of $n$ independent random points sampled from a family of block-beta distributions. Notably, th…

math.PR2022

Spherical convex hull of random points on a wedge

Florian Besau, Anna Gusakova, Matthias Reitzner +3

Consider two half-spaces $H_{1}^{+}$ and $H_{2}^{+}$ in $R^{d + 1}$ whose bounding hyperplanes $H_{1}$ and $H_{2}$ are orthogonal and pass through the origin. The intersection $\mathbb{…

math.PR2019

Asymptotic normality for random polytopes in non-Euclidean geometries

Florian Besau, Christoph Thäle

Asymptotic normality for the natural volume measure of random polytopes generated by random points distributed uniformly in a convex body in spherical or hyperbolic spaces is prove…