We propose a new approach to quantifying fault system geometry, using an objective fit of the fault geometry to a test function, specifically here a fault branch. Fitting a Y-shaped object using a cost function to dextral faults in California, we find a number of significant results arising from use of a a systematic, objective, quantitative approach. (1) The largest angle of the branch structu...

Abstract We provide an analytic expression for the quantity described in the title. Namely, we perform a preferential attachment growth process to generate a scale-free network. At each stage we add a new node with m new links. Let k denote the degree of a node, and N the number of nodes in the network. The degree distribution is assumed to converge to a power-law (for k ≥ m) of the form k and ...

In this paper, we provide two one-factor heavy-tailed copula models for pricing a collateralized debt obligation and credit default index swap tranches: (1) a one-factor double t distribution with fractional degrees of freedom copula model and (2) a one-factor double mixture distribution of t and Gaussian distribution copula model. A tail-fatness parameter is introduced in each model, allowing ...

A non-invasive system for monitoring fish underwater is described. A 3D point distribution model (PDM) model can be fitted on stereo images for fish examination. Currently the model fitting algorithm requires manual initialisation. Therefore experiments were carried out to investigate the usefulness of an n-tuple classifier as a tool to initiate the model fitting method automatically. The exper...

Vulnerability assessment of structures encounter many uncertainties like seismic excitations intensity and response of structures. The most common approach adopted to deal with these uncertainties is vulnerability assessment through fragility functions. Fragility functions exhibit the probability of exceeding a state namely performance-level as a function of seismic intensity. A common approach...