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 ...

The Annals of Applied Probability, Vol. 31, No. 4 (August 2021), pp. 1598-1632 (35 pages) We consider the convex hull of the perturbed point process comprised of n i.i.d. points, each distributed as ...

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 ...