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, this …

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 a …

An asymptotic formula is proved for the expected TT‐functional of the convex hull of
independent and identically distributed random points sampled from the Euclidean unit …

In this talk I will present on a recent joint work with S. Hoehner, where we introduce a new
intrinsic volume metric for the class of convex bodies in Rn. As an application we prove an …

A new intrinsic volume metric is introduced for the class of convex bodies in ℝ n. As an
application, an inequality is proved for the asymptotic best approximation of the Euclidean …

Given $ N $ geodesic caps on the normalized unit sphere in $\mathbb {R}^ d $, and whose
total surface area sums to one, what is the maximal surface area their union can cover? We …

For p∈[0, 1], an asymptotic formula is proved for the expected Lp surface area of the random
convex hull of a fixed number of points sampled uniformly and independently from the …