This paper presents a formal definition of stability for node centrality measures in weighted
graphs. It is shown that the commonly used measures of degree, closeness and eigenvector …

As Machine Learning models are considered for autonomous decisions with significant
social impact, the need for understanding how these models work rises rapidly. Explainable …

We consider the general properties of bounded approximate units in non-self-adjoint
operator algebras. Such algebras arise naturally from the differential structure of spectral …

In complete metric measure spaces Z equipped with a doubling measure and supporting a
weak Poincaré inequality, we consider a measurable subset Ω satisfying a measure-density …

We study locally constant skew-product maps over full shifts of finite symbols with arbitrary
compact metric spaces as fiber spaces. We introduce a new criterion to determine the …

Bioethanol is one of the most studied alternative fuels nowadays. Due to its production
process complexity and the low quality of the mathematical models that describe it, a reliable …

In recent years Lipschitz-type functions have been studied in an extensive manner.
Particularly, we have locally Lipschitz functions (both the ball radius and the local Lipschitz …

The goal of this paper is to continue the study of the relation between the Poincaré inequality
and the lower bounds of Minkowski content of separating sets, initiated in our previous work …

In this paper, we study the eikonal equation in metric measure spaces, where the
inhomogeneous term is allowed to be discontinuous, unbounded and merely $ p …

A useful feature of the Euclidean n-space, n≥ 2, is that every pair of points x and y can be
joined not only by the line segment [x, y] but also by a large family of curves whose length is …