Using a combination of laboratory experiments and computer simulation we show that microwaves reflected from and transmitted through soil have a fractal dimension correlated to that of the soil's hierarchic permittivity network. The mathematical model relating the ground-penetrating radar record to the mass fractal dimension of soil structure is also developed. The fractal signature of the scat...

This work extends a model proposed by Voldman, Mandelbrot, et al. on the fractal nature of the gaps separating cache misses, and shows how the fractal dimension of the gap distribution can be used to predict the miss ratio experienced by the program that has generated the series of cache misses. This result supports the thesis that the fractal dimension of the distribution of the intermiss gaps...

In the perfect off-lattice DLA model of the fractal growth the centre-attractive drift factor and mobility of particles are introduced. Simulation indicates variation of fractal patterns and their characteristics depending on these new factors. Noticeable effects of the drift factor upon fractal dimension, growth efficiency and frozen zone are shown. The mobility behaves in the competitive mann...

The statistics of isothermal lines and loops of the cosmic microwave background (CMB) radiation on the sky map is studied and the fractal structure is confirmed in the radiation temperature fluctuation. We estimate the fractal exponents, such as the fractal dimension De of the entire pattern of isothermal lines, the fractal dimension Dc of a single isothermal line, the exponent in Korčak’s law ...

Keywords: Fractal structure Fractal dimension Box-counting dimension Domain of words Language Regular expression Binary-coded decimal Search tree a b s t r a c t A fractal structure is a tool that is used to study the fractal behavior of a space. In this paper, we show how to apply a new concept of fractal dimension for fractal structures, extending the use of the box-counting dimension to new ...

Capturing dynamical patterns of stock prices are major challenges both epistemologically as well as financially [1]. The statistical properties of their (time) variations or fluctuations [1] are now well studied and characterized (with established fractal properties), but are not very useful for studying and anticipating their dynamics in the market. Noting that a single fractal gives essential...

A concept of "Fractal Fracture Mechanics" for HDR .(Hot Dry Rock) geothermal reservoir design has been developed as an extension of conventional rock fracture mechanics. It is suggested that this concept is successfully applicable to characterize and model subsurface fracture network in HDR geothermal reservoir. Furthermore, this modeling procedure makes it possible to evaluate the thermal ener...

In this contribution, we discuss about the features needed by a component-oriented framework, in order to implement a tool for component search. In particular, we address the Fractal framework: we describe its main features and what is needed to perform effective component search in this framework.

A novel printed octagonal fractal microstrip antenna with semi-elliptical ground plane is presented for ultra wide band applications. The proposed antenna has a compact size of 20×20×1 mm³. The measured result of the antenna exhibits the ultra wide band characteristics from 2/9 to 14/2 GHz. In this paper, reducing antenna’s size by 35%, the same results were achieved, while small dimension frac...