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 ...

Predictor-corrector algorithm for linear programming, proposed by Mizuno et al. becomes the best well known in the interior point methods. The purpose of this paper is to extend these results in two ...