Florian Besau

collaborators

4 papers

math.MG2026

Illumination Bodies in Projective Geometries

Rotem Assouline, Florian Besau, Elisabeth M. Werner

We extend the notion of illumination bodies to Riemannian spaces of constant curvature and to projective Finsler geometries. We prove that the derivative of their volume defines a…

math.PR2026

Random convex chains through the lens of analytic combinatorics

Florian Besau, Christoph ThÃ¤le

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 ThÃ¤le

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.MG2024

The $L_{p}$ -floating area, curvature entropy, and isoperimetric inequalities on the sphere

Florian Besau, Elisabeth M. Werner

We explore analogs of classical centro-affine invariant isoperimetric inequalities, such as the Blaschke--SantalÃ³ inequality and the $L_{p}$ -affine isoperimetric inequalities, for c…

Illumination Bodies in Projective Geometries

Random convex chains through the lens of analytic combinatorics

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

The Lp​-floating area, curvature entropy, and isoperimetric inequalities on the sphere

The $L_{p}$ -floating area, curvature entropy, and isoperimetric inequalities on the sphere