Lévy processes, which have stationary independent increments, are ideal for modelling the various types of noise that can arise in communication channels. If a Lévy process admits exponential moments, then there exists a parametric family of measure changes called Esscher transformations. If the parameter is replaced with an independent random variable, the true value of which represents a ‘mes...

Mitochondrial dysfunction is involved in many neurodegenerative disorders in humans. Here we report mutations in a gene (designated levy) that codes for subunit VIa of cytochrome c oxidase (COX). The mutations were identified by the phenotype of temperature-induced paralysis and showed the additional phenotypes of decreased COX activity, age-dependent bang-induced paralysis, progressive neurode...

Precursory fracture induced electromagnetic (EM) emissions, rooted in opening cracks and ranging from MHz to kHz, with the MHz appearing earlier, are produced and detected both at laboratory and geophysical scale. Recently, we have proposed the following two epochs/stages model of EQ generation: (i) The final kHz part is triggered by the fracture of high strength and large asperities that are d...

In this paper, we assume that log returns can be modelled by a Levy process. We give explicit formulae for option prices by means of the Fourier transform. We explain how to infer the characteristics of the Levy process from option prices. This enables us to generate an implicit volatility surface implied by market data. This model is of particular interest since it extends the seminal Black Sc...

In this book, David Benatar argues that every person is severely harmed by being brought into existence, and that in bringing any person into existence one impermissibly harms that person. His conclusion is not merely that by bringing a person into existence, one harms him. That claim is compatible with the claim that by bringing a person into existence, one also greatly benefits him, and even ...

In an earlier paper in these pages, we explored the puzzling link between dispositions and conditionals. First, we rehearsed the standard counterexamples to the simple conditional analysis and the refined conditional analysis defended by David Lewis. Second, we attacked a tempting response to these counterexamples: what we called the ―getting specific strategy‖. Third, we presented a series of ...

Levy and Levy (2002, 2004) develop the Prospect and Markowitz stochastic dominance theory with S-shaped and reverse S-shaped utility functions for investors. In this paper, we extend Levy and Levy’s Prospect Stochastic Dominance theory (PSD) and Markowitz Stochastic Dominance theory (MSD) to the first three orders and link the corresponding S-shaped and reverse S-shaped utility functions to the...

Rock–paper–scissors (RPS) game is a nice model to study the biodiversity in ecosystem. However, the previous studies only consider the nearestneighborinteraction among the species. In this paper, taking the long range migration into account, the effects of the interplay between nearest-neighbor-interaction and long-range-interaction of Levy flight with distance distribution h l (-0.3<h<-0.1) in...