We examine linear inequalities satisfied by the flag $f$-vectors of polytopes. One source of
these inequalities is the toric $g$-vector; convolutions of its entries are non-negative for …

We present two statistical depth functions given in terms of the random variable defined as
the minimum number of observations of a random vector that are needed to include a fixed …

We review recently developed schemes for the constrained control of systems integrating
logic and continuous dynamics. The control paradigm we focus on is model predictive control (…

For analysing k-variate data sets, Randles (J. Amer. Statist. Assoc. 84 (1989) 1045)
considered hyperplanes going through k - 1 data points and the origin. He then introduced an …

We examine different formalisms for modeling qualitatively physical systems and their associated
inferential processes that allow us to derive qualitative predictions from the models. We …

The degree partition of a simple graph is its degree sequence rearranged in weakly decreasing
order. The polytope of degree partitions (respectively, degree sequences) is the convex …

… Zaslavsky, “On the interpretation of Whitney numbers through arrangements of
hyperplanes, zonotopes, non-radon partitions, and orientations of graphs,” Trans. Amer. Math. …

For a random vector X in R n , we obtain bounds on the size of a sample, for which the
empirical pth moments of linear functionals are close to the exact ones uniformly on a convex …

Let Q be a quiver of type ADE. We construct the corresponding Auslander–Reiten quiver as
a topological complex inside the Coxeter complex associated with the underlying Dynkin …

If the Euclidean norm is strongly concentrated with respect to a measure, the average
distribution of an average marginal of this measure has Gaussian asymptotics that captures tail …