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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Showing 2024Show all

2 papers · 1 filter

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.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--Santaló inequality and the $L_{p}$ -affine isoperimetric inequalities, for co…

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