We discuss here in detail a new analytical random walk approach to calculating the phase-diagram for spatially extended systems with multiplicative noise. We use the Anderson localization problem as an example. The transition from delocalized to localized states is treated as a generalized diffusion with a noise-induced first-order phase transition. The generalized diffusion manifests itself in...

The Greek debt crisis opened up the policy discourse over Europe to the extent of an unprecedented extent of questioning of the original design of the Eurozone. Such a rethink requires an examination of how the European economy functions and the appropriate theoretical approach to analysing it. The purpose of this paper is to revisit the thinking behind the design of European Monetary Union and...

In applications of differential geometry to problems of parametric inference, the notion of divergence is often used to measure the separation between two parametric densities. Among them, in this paper, we will verify measures such as Kullback-Leibler information, J-divergence, Hellinger distance, -Divergence, … and so on. Properties and results related to distance between probability d...

An incompressible multi-phase SPH method is proposed. In this method, a fractional time-step method is introduced to enforce both the zero-density-variation condition and the velocity-divergence-free condition at each full time step. To obtain sharp density and viscosity discontinuities in an incompressible multi-phase flow a new multi-phase projection formulation, in which the discretized grad...

Non-negative matrix factorization (NMF) aims at finding nonnegative representations of nonnegative data. Among different NMF algorithms, alternating direction method of multipliers (ADMM) is a popular one with superior performance. However, we find that ADMM shows instability and inferior performance on real-world data like speech signals. In this paper, to solve this problem, we develop a clas...

This paper analyzes the hydrodynamic and atmospheric instability modulation mechanisms which influence the Brazilian Current's (BC) thermal front signature in Synthetic Aperture Radar (SAR) images. Simulations were made using the M4S SAR imaging model. Two SAR images of the Brazilian Southeastern Coast depicting the BC's thermal front were selected including a VV (ASAR/Envisat) and a HH polariz...

A weakly nonlinear analysis is presented of parametric instability in a rotating cylinder subject to periodic axial compression by small sinusoidal oscillations of one of its ends (‘the piston’). Amplitude equations are derived for the pair of parametrically resonant (primary) inertial modes which were found to arise from linear instability in Part 1. These equations introduce an infinity of ge...

What effect does political instability in the form of a potential secession from union have on business formation? Using newly collected data creation, we show that entrepreneurial activity Ireland late nineteenth century was much lower than Scotland, and this divergence fluctuated over time. Several factors may contributed to this, but argue uncertainty about prospect devolved government playe...

Instability following sagittal distraction and rotational injuries of the cervical spine has been widely reported. We here report a case of post-traumatic segmental instability in the coronal plane. Case report. A 66-year-old farmer presented with painful torticollis having fallen into a ditch the previous day. He experienced immediate neck pain, but did not lose consciousness. He had a left te...

Loss of chromosome 18q21 is well documented in colorectal cancer, and it has been suggested that this loss targets the DCC, DPC4/SMAD4, and SMAD2 genes. Recently, the importance of SMAD4, a downstream regulator in the TGF-beta signaling pathway, in colorectal cancer has been highlighted, although the frequency of SMAD4 mutations appears much lower than that of 18q21 loss. We set out to investig...