We show that every operator system (and hence every unital operator algebra) has sufficiently many boundary representations to generate the C*-envelope. We solve a 45 year old problem of William Arveson that is central to his approach to non-commutative dilation theory. We show that every operator system and every unital operator algebra has sufficiently many boundary representations to complet...

This paper describes a new method allowing to retrieve the indoor and outdoor topology of a detailed 3D building model from its geometry and to extract different levels of detail (LoD) from the resulting topological description. No prior information about the initial model, except its geometric information is needed as input, and using the combinatorial maps data structure, the method recovers ...

Forest stand boundaries are usually represented on vegetation maps as fine lines all having the same width. Thus spatial accuracy and precision are considered to be uniform over an entire map. However, real forest boundaries — i.e., those that can be observed on the ground— differ in degree of definition and contrast between adjacent stands. This study examines the association between ecologica...

A novel approach to the combination of volatility forecasts is discussed. The proposed procedure makes use of the generalized method of moments (GMM) for estimating the combination weights. The asymptotic properties of the GMM estimator are derived while its finite sample properties are assessed by means of a simulation study. The results of an application to a time series of daily returns on t...

Let Ω be a domain in R whose boundary is C if n ≥ 3 or C if n = 2. We consider a magnetic Schrödinger operator LW,q in Ω and show how to recover the boundary values of the tangential component of the vector potential W from the Dirichlet to Neumann map for LW,q. We also consider a steady state heat equation with convection term ∆+2W ·∇ and recover the boundary values of the convection term W fr...

Powers has shown that each spatial E0-semigroup can be obtained from the boundary weight map of a CP -flow acting on B(K ⊗ L(0,∞)) for some separable Hilbert space K. In this paper, we define boundary weight maps through boundary weight doubles (φ, ν), where φ : Mn(C) → Mn(C) is a q-positive map and ν is a boundary weight over L(0,∞). These doubles induce CP -flows over K for 1 < dim(K) < ∞ whi...

We consider a lattice of coupled logistic maps with periodic boundary condition. We prove that synchronization and almost synchronization occur for the case of 1D lattice with lattice size n = 2, 3, 4 provided the coupling strength c is chosen in a suitable open interval contained in [0, 12 ]. For the case of lattice size n ≥ 4, we also show the numerical results of (almost) synchronized chaoti...

We consider the numerical approximation of volume integrals over bounded domains D := {x ∈ R : H(x) ≤ 0}, where H : R → R is a suitable decidability function. The integrands may be smooth maps or singular maps such as those arising in the volume potentials for boundary element methods. An adaptive integration method is described. It utilizes an automatic simplicial subdivision of the domain. Th...