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 ...

In general, we show that evaluating the probability that the random convex hull contains a fixed disc is equivalent to solving the general coverage problem where the midpoint and length of each arc ...