We have developed a Scalable Linear Augmented Slater-Type Orbital (LASTO) method for electronic-structure calculations on free-standing atomic clusters. As with other linear methods we solve the Schrödinger equation using a mixed basis set consisting of numerical functions inside atom-centered spheres and matched onto tail functions outside. The tail functions are Slater-type orbitals, which ar...

We consider the sums Sn = ξ1+· · ·+ξn of independent identically distributed random variables. We do not assume that the ξ ’s have a finite mean. Under subexponential type conditions on distribution of the summands, we find the asymptotics of the probability P{M > x} as x → ∞, provided that M = sup{Sn, n 1} is a proper random variable. Special attention is paid to the case of tails which are re...

Level-expanding quasi-birth-and-death (QBD) processes have been shown to be an efficient modeling tool for studying multi-dimensional systems, especially twodimensional ones. Computationally, it changes the more challenging problem of dealing with algorithms for two-dimensional systems to a less challenging one for block-structured transition matrices of QBD type with a varying finite block siz...

The paper derives many existing risk measures and premium principles by minimizing a Markov bound for the tail probability. Our approach involves two exogenous functions v(S) and (S,p) and another exogenous parameter ≤ 1. Minimizing a general Markov bound leads to the following unifying equation: , . z S v S E E p = ^ ] h g 8 6 B @ For any random variable, the risk measure p is the solution to ...

Methods for calculating bit error rate (BER) using probability density function (PDF) of impairments (ISI, crosstalk, jitter etc.) have been studied and presented in the past. These approaches calculate PDF of the signal & impairments at the decision point based on linear system analysis and deduce the BER from tail probability. A typical high speed system also has significant non linearity in ...

Surfactant-enhanced remediation technology has shown promising potential for removing residual organics from contaminated soils and groundwater. Using a homologous series of cationic surfactants, alkylpyridinium bromide, it was found that the molar solubilization ratio (MSR) for naphthalene decreases with decreasing carbon number in the hydrophobic tail. In contrast, with nonylphenyl ethoxylate...

We consider last-passage percolation models in two dimensions, in which the underlying weight distribution has a heavy tail of index α < 2. We prove scaling laws and asymptotic distributions, both for the passage times and for the shape of optimal paths; these are expressed in terms of a family (indexed by α) of “continuous last-passage percolation” models in the unit square. In the extreme cas...

Vestibular responses play an important role in maintaining gaze and posture stability during rotational motion. Previous studies suggest that these responses are state dependent, their expression varying with the environmental and locomotor conditions of the animal. In this study, we simulated an ethologically relevant state in the laboratory to study state-dependent vestibular responses in bir...