A new general model for asset returns is studied in the framework of the Fractal Market Hypothesis (FMH). To accomodate markets with arbitrage opportunities it concerns capital market systems in which the Conditionally Exponential Dependence (CED) property can be attached to each investor on the market. Emploing the limit theorem for the CED systems, the universal characteristics for the distri...

Using the VLA, we have performed the first observational test of dark matter in the form of cold, primordial fractal clouds, as envisioned by Pfenniger, Combes, & Martinet (1994) and Pfenniger & Combes (1994). We show that, after a Hubble Time, primordial fractal clouds will convert most of their HI to H2, but a small fraction of HI remains which is optically thick. This opens up a new window f...

Two–dimensional directed site percolation is studied in systems directed along the x–axis and limited by a free surface at y=±Cx k. Scaling considerations show that the surface is a relevant perturbation to the local critical behaviour when k<1/z where z=ν /ν is the dynamical exponent. The tip–to–bulk order parameter correlation function is calculated in the mean–field approximation. The tip pe...

The river patterns comprise of straight, meandering, braided and wandering river. They are formed and developed under the action of the long-term certain sediment-water assembly and the geological condition. There are many traditional methods such as single parameter including bend coefficient, width-depth ration and multipleparameters discrimination methods, to distinguish the river pattern. I...

In this paper we are going to implement the hybrid wavelet coder to improve the gray image quality at low bit rate, such type of compression provide high compression ratio at low bit rate that means it overcome the drawback of fractal image coding in spatial domain produces the artefact blocking effect this effect can be reduces by using fractal image coder in wavelet domain and also this coder...

Slant-discrimination thresholds were measured for textures with the property that their power spectra, when log transformed, are inversely proportional to log spatial frequency: P(f) alpha f-beta. As the exponent beta changes from high values to low values, the slope of the power spectrum of the image decreases. As the parameter passes through values in the fractal range the resulting texture c...

In this paper we analyse a wavelet based method for the estimation of the Hurst parameter of syntheticallygenerated self-similar traces, widely used in a great variety of applications, ranging from computer graphics to parsimonious traffic modelling in broadband networks. The aim of this work is to point out the efficiency of multiresolution schemes in the analysis of fractal processes, charact...

We consider the concept of fractons as particles or quasiparticles which obey a specific fractal statistics in connection with a one-dimensional Luttinger liquid theory. We obtain a dual statistics parameter ν̃ = ν+1 which is identified with the controlling parameter e−2φ of the Luttinger model. In this way, a bosonic system characterized by a fractal index if [h] = if [2] = 1 is considered as a...

Fractal image generation algorithms exhibit extreme parallelizability. Using graphics processing units (GPUs) to implement parallel escape-time algorithms for Julia sets of functions, we produce visually attractive fractal images much faster than traditional serial methods. Vastly improved speeds allow real-time generation and display of images. A comparison is made between sequential and paral...