18 citations · 73 across the 13 of their papers we have counts for
Showing math.MGShow all
3 papers · 1 filter
math.MG2025
On the Optimality of Random Partial Sphere Coverings in High Dimensions
Steven Hoehner, Gil Kur
Given geodesic caps on the unit sphere in , whose total normalized surface area is one, what is the maximal proportion of the sphere that their union can cover? I…
math.MG2019★ 9 cited
Intrinsic and Dual Volume Deviations of Convex Bodies and Polytopes
Florian Besau, Steven Hoehner, Gil Kur
We establish estimates for the asymptotic best approximation of the Euclidean unit ball by polytopes under a notion of distance induced by the intrinsic volumes. We also introduce…
math.MG2018★ 4 cited
A Concentration Inequality for Random Polytopes, Dirichlet-Voronoi Tiling Numbers and the Geometric Balls and Bins Problem
Steven Hoehner, Gil Kur
Our main contribution is a concentration inequality for the symmetric volume difference of a convex body with positive Gaussian curvature and a circumscribed random polytop…