The use of reaction-diffusion models rests on the key assumption that the diffusive process is Gaussian. However, a growing number of studies have pointed out the presence of anomalous diffusion, and there is a need to understand reactive systems in the presence of this type of non-Gaussian diffusion. Here we study front dynamics in reaction-diffusion systems where anomalous diffusion is due to...

AMERICAN METEOROLOGICAL SOCIETY | JANUARY 2007| 25 PB AFFILIATIONS: LEVY—Science Systems and Applications, Inc., Lanham, Laboratory for Atmospheres, NASA Goddard Space Flight Center, Greenbelt, and Department of Atmospheric and Oceanic Science, University of Maryland, College Park, College Park, Maryland; PINKER—Department of Atmospheric and Oceanic Science, University of Maryland, College Park...

In this article, stress analysis and energy estimation during cold-roll forming of symmetrical channel sections have been discussed. Geometry of sheet strip is pre-estimated by a shape function. Then longitudinal, transversal and shear strains have been calculated. Using both the Levy-Mises and the Prandtl Reuss equations, and also considering the Bauschinger effect, stress distributions have b...

Nonhomogenous random fields are known to be well adapted to modeling a wide class of images. Their computational complexity generally causes their lack of appeal, we propose a more efficient model capable of capturing textures, shapes, as well as jumps typically encountered in infra-red images. The so-called Levy Random fields as we show, can indeed represent a very well adapted alternative for...

A Study of Option Pricing Models – Lognormal or Hyperbolic Levy ? By Chen Chen This paper is an investigation into two option pricing models: widely-used Black-Scholes model and one of its augmented extensions – hyperbolic Levy model. Firstly, we have a detailed discussion about the celebrated Black-Scholes model. However, clearly there are many deficiencies in Black-Scholes assumptions. In ord...

We conduct a statistical study of human mobility using over 1000 hours of GPS traces of human walks involving 44 participants in five different locations, two university campuses, state fair, New York City, and Disney World. Our data reveals statistical features similar to those in what physicists have long called Levy random walks (or Levy walks). These features include heavy-tail distribution...