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math.PR2019
The convex hull of random points on the boundary of a simple polytope
M. Reitzner, C. Schuett, E. M. Werner
The convex hull of N independent random points chosen on the boundary of a simple polytope in R^n is investigated. Asymptotic formulas for the expected number of vertices and facet…
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…