… The rapid mixing of a random walk on the set of bases of a unimodular matrix is proved by
associating it with a convex polyhedron; the zonotope, associated with the matrix. We also …

… volume of the zonotope. In [14], the minimization of the P-radius of the zonotope leads to a
… accuracy of the volume minimization of a zonotope. The P-radius minimization zonotopic …

… to construct polytopes as bounding zones and zonotopes as confidence domains. Statistics
show that … The third section concentrates on the basics of polytopes and zonotopes and the …

… of zonotopes each contained within the full state space, where the maximal element of each
zonotope … Similarly, the accessible effect space is the convex hull of a set of zonotopes each …

… represented using n-dimensional geometric objects such as zonotopes [5] , polyhedra [6], or
… and the approximation error is used to inflate zonotope sets. Another method uses optimal …

… but primarily uses zonotopes to represent an initial set of states, and then propagates that
zonotope through a system’s linear dynamics. The zonotope representation gets progressively …

… We are particularly interested in the case where p is a zonotope corresponding to a linear
hyperplane arrangement A. In this case, let Σ[A] denote the Tits algebra of A, see Section 3. It …

… We propose a novel method for checking whether a given RNN satisfies a given specification,
as abstractly interpreting the model with the constrained zonotopes. The specification is …

Through tropical normal idempotent matrices, we introduce isocanted alcoved polytopes,
computing their f-vectors and checking the validity of the following five conjectures: Bárány, …

… Z k is the generator matrix of zonotope Z k that bounds the average power of z k . Because
Z k is obtained by the Minkowski sum of zonotopes which bound the square of each signal in …