Convex geometry and point set configurations form a pivotal area of research in computational geometry, where the primary focus is the study of convex sets and the intricate arrangements of points in ...

Inhalt: In this course we will study some basic concepts of Convex and Integral Geometry and at the end we will get in touch with a few classical results from Stochastic geometry. In the first part of ...

Let An, n≥ 1, be i.i.d. random closed sets in Rd. Limit theorems for their normalized convex hulls an -1 conv(A1∪ ⋯ ∪ An) are proved. The limiting distributions correspond to C-stable random sets. The ...

This is a preview. Log in through your library . Abstract Consider the convex hull of n independent, identically distributed points in the plane. Functionals of interest are the number of vertices Nn, ...

To the surprise of experts in the field, a postdoctoral statistician has solved one of the most important problems in high-dimensional convex geometry. In the mid-1980s, the mathematician Jean ...

A new connection between human and machine learning has been discovered: While conceptual regions in human cognition for long have been modelled as convex regions, Tetkova et al. present new evidence ...