We study a Monte Carlo algorithm for simulation of probability distributions based on stochastic step functions, and compare to the traditional Metropolis/Hastings method. Unlike the latter, the step function algorithm can produce an uncorrelated Markov chain. We apply this method to the simulation of Levy processes, for which simulation of uncorrelated jumps are essential. We perform numerical...

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...

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...

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 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 ...

This thesis is divided into two chapters. In the first chapter, I analyze Michael Walzer’s account of the moral legitimacy of states. In the second chapter, I analyze his account of the morality of killing in war. I begin the first chapter by contrasting Walzer’s account of state legitimacy and humanitarian intervention with that of David Luban. Next, I develop a Rawlsian account of state legit...

In their recent article (2010), Levy and Liu introduced a generalization of Centroidal Voronoi Tessellation (CVT) namely the Lp-CVT that allows the computation of an anisotropic CVT over a sound mathematical framework. In this article a new objective function is defined, and both this function and its gradient are derived in closed-form for surfaces and volumes. This method opens a wide range o...