Ž . The broadband integrated services digital network B-ISDN offers a wide variety of services to its customers. From both provider’s and user’s perspective, a fair and flexible billing system is indispensable to the operation of B-ISDN. In this paper, we discuss different billing policies, and their corresponding authentication protocols, which can be used by the B-ISDN billing system. Flat ra...

We organize colored aromatic trees into a pre-Lie–Rinehart algebra (i.e., flat torsion-free Lie–Rinehart algebra) endowed with natural trace map, and show the freeness of this object among algebras trace. This yields algebraic foundations B-series.

We consider the problem of trajectory generation for constrained differentially flat systems. Based on the topological properties of the set of admissible steady state values of a flat output we derive conditions which allow for an a priori verification of the feasibility of constrained set-point changes. We propose to utilize this relation to generate feasible trajectories. To this end we sugg...

B List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by a certain diffeomorphism. We use this observation to associate to each static Ricci flat spacetime a local Ricci soliton in one higher dimension. As well, solutions of Euclidean-signature Einstein gravity coupled to a...

We prove that invariance of a quantum theory under the semiclassical vs. strong– quantum duality S/~ ←→ ~/S, where S is the classical action, is equivalent to noncommutativity (of the Heisenberg–algebra type) of the coordinates of the space on which S is defined. We place these facts in correspondence with gerbes and Neveu– Schwarz B–fields and discuss their implications for a quantum theory of...

This paper explores the possibilities of point cloud reduction using  insensitive support vector regression (-SVR).  -SVR is a technique that can carry out the regression using different kernel functions (sigmoid, radial basis function, B-spline, spline, etc.) and it is suitable for detection of flat regions and regions with high curvature in scanned data. Using  -SVR the density of preserv...

— This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes tiled by right-angled polygons. We discuss linearity properties for the groups, as well as an analogy with semisimple groups over local fields of positive characteristic. Looking for counter-examples to this analogy l...