Adjacency properties of extreme points of a convex polyhedron are discussed. In mathematical programming we are quite often faced with problems of characterizing the ...

Stochastic geometry is an area of mathematics that investigates random spatial patterns and the probabilistic foundations of geometric structures. A key focus within this field is the study of random ...

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 ...

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 ...

The Hirsch conjecture states that the combinatorial diameter of every convex d-polytope with n facets is bounded by n-d. Hirsch Conjecture (1957): Let P be a convex d-polytope with n facets. Then the ...