At its core, the field investigates the properties, computation and novel characterisations of geometric objects such as convex hulls, annuli and other enclosing structures.

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 ...

Pierre Calka, J. E. Yukich, CONVEX HULLS OF PERTURBED RANDOM POINT SETS, The Annals of Applied Probability, Vol. 31, No. 4 (August 2021), pp. 1598-1632 ...

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.