The scaling of the monomer and island densities, island-size distribution sISDd, capture-number distribution sCNDd, and capture-zone distribution is studied as a function of the fraction of occupied sites scoveraged and ratio D /F of the monomer hopping rate D to the sper sited monomer creation rate F in a three-dimensional s3Dd point-island model of irreversible nucleation and island growth. O...

Abstract We compare the results of kinetic Monte Carlo (KMC) simulations of a point-island model of irreversible nucleation and growth in four-dimensions with the corresponding mean-field (MF) rate equation predictions for the monomer density, island density, island-size distribution (ISD), and capture number distribution (CND) in order to determine the critical dimension dc for meanfield behav...

We have studied reactions between linear Cn(+) (n = 4-9) and D2, using ion mobility mass spectrometry techniques and quantum chemical calculations in order to understand the complex reactivity of the linear cluster cations. Only linear CnD(+) products were observed for the odd (n = 5, 7, 9) linear clusters, while CnD2(+) was the main product for the even clusters. For the reaction rate constant...

Consider the problem of reconstructing a multidimensional signal from partial information, as in the setting of compressed sensing. Without any additional assumptions, this problem is ill-posed. However, for signals such as natural images or movies, the minimal total variation estimate consistent with the measurements often produces a good approximation to the underlying signal, even if the num...

The cellular network design (CND) problem is formulated as a comprehensive linear mixed integer programming model integrating the base station location (BSL) problem, the frequency channel assignment (FCA) problem and the topological network design (TND) problem. A solution algorithm based on Lagrangean relaxation is proposed for solving this complex cellular network design problem. Pursuing th...

We present a method for providing response-time guarantees for multimedia traffic in Asynchronous Transfer Mode (ATM) networks. The method extends our ResponseTime Analysis (RTA) for ATM networks to better capture the behaviour of MPEG-type multimedia traffic. RTA is intended for admission control of hard real-time traffic, i.e., it determines if a new connection can be admitted without violati...

On the basis of “sticky particle” calculations, it is argued that the gas features observed within 10 pc of the Galactic Centre– the circumnuclear disk (CND) and the ionized gas filaments– as well as the newly formed stars in the inner one parsec can be understood in terms of tidal capture and disruption of gas clouds on low angular momentum orbits in a potential containing a point mass. The ca...

The trace algebra Cnd over a field of characteristic 0 is generated by all traces of products of d generic n × n matrices, n, d ≥ 2. Minimal sets of generators of Cnd are known for n = 2 and 3 for any d and for n = 4 and 5 and d = 2. The explicit defining relations between the generators are found for n = 2 and any d and for n = 3, d = 2 only. Defining relations of minimal degree for n = 3 and ...

Using the new 23 GHz receivers at the Very Large Array (VLA), we have detected NH3(6,6) emission (ν = 25.056025 GHz) from hot (> 150 K) molecular clouds in the central 10 pc of the Galaxy. This is the first successful detection of NH3(6,6) with the VLA. The brightest emission comes from a region interior to the “circumnuclear disk” (CND), less than 1.5 pc in projected distance from Sgr A*. This...