We extend a theorem of Groemer on the expected volume of a random polytope in a convex
body. The extension involves various ways of generating random convex sets. We also treat …

… zonotope is a polytope with the property that all of its k-… that a k-tiling polytope must be a
zonotope is no longer true. A … facets, but is not a zonotope because it has 2dimensional faces …

… Operations on Zonotopes … – Problem: intersection of zonotopes is not a zonotope –
overapproximate … – Minkowski sum increases number of • Polyhedra: constraints • Zonotopes: …

This paper provides a tutorial introduction to reachability computation, a new class of
computational techniques developed in order to export verification technology toward continuous …

… Furthermore, we show that M(x,1) counts integral points in zonotopes according to the
dimension of the minimal face in which they are contained, while M(1,y) is the graded dimension …

… As a result, the input term is assumed to be bounded in a time-varying zonotope the shape
of which is defined … belongs to a zonotope which is generated by the matrix and centered on …

We also show that interval greedoids give rise to random walks belonging to the same general
family. Members of this family of Markov chains, based on certain semigroups, have the …

… In our case, we limit ourselves to a particular family of zonotopes for which the matrix Z is
symmetric and positive definite, ie Z = ZT ∈ Rn,n, Z ≻ 0. This familiy is referred to as …

“The aim of the paper is to calculate face numbers of simple generalized permutohedra, and
study their f-, h-and γ-vectors. These polytopes include permutohedra, associahedra, …

… A state bounding observer for uncertain non-linear continuous-time systems based on
zonotopes. 44th IEEE Conference on Decision and Control, European Control Conference. CDC-…