Steven Hoehner

activity

20152026

most citedThe Surface Area Deviation of the Euclidean Ball and a Polytope

14 citations · 35 across the 21 of their papers we have counts for

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math.PR2026

Central Limit Theorem for Random Partial Sphere Coverings in High Dimensions

Steven Hoehner, Christoph Thäle

We study a random partial covering model on the $(d - 1)$ -dimensional unit sphere, where $N$ spherical caps are placed independently and uniformly at random, each covering a surface…

math.PR2022

Asymptotic expected $T$ -functionals of random polytopes with applications to $L_{p}$ surface areas

Steven Hoehner, Ben Li, Michael Roysdon +1

An asymptotic formula is proved for the expected $T$ -functional of the convex hull of independent and identically distributed random points sampled from the Euclidean unit sphere i…

math.PR2015★ 14 cited

The Surface Area Deviation of the Euclidean Ball and a Polytope

Steven D. Hoehner, Carsten Schuett, Elisabeth M. Werner

While there is extensive literature on approximation of convex bodies by inscribed or circumscribed polytopes, much less is known in the case of generally positioned polytopes. Her…

Central Limit Theorem for Random Partial Sphere Coverings in High Dimensions

Asymptotic expected T-functionals of random polytopes with applications to Lp​ surface areas

The Surface Area Deviation of the Euclidean Ball and a Polytope

Asymptotic expected $T$ -functionals of random polytopes with applications to $L_{p}$ surface areas