Florian Besau

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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…