We report an empirical study of Tehran price index (TEPIX). To analyze our data we use various methods like as, rescaled range analysis (R/S), modified rescaled range analysis (Lo's method), detrended fluctuation analysis (DFA) and generalized Hurst exponents analysis. Based on numerical...

Anderson transition in a fractal-shaped structure is driven by running fractal dimension from two to three. We analyzed the spectral statistics of a quantum particle confined in a fractal-shaped structure generated using the dielectric breakdown model in three dimensions. When the fractal...

We demonstrate that the methods of signal (time series) analysis developed in nonlinear and symbolic dynamics when applied to financial data in Econophysics give new possibilities of interpretation of those data. Analogies with interpretation of biosignals in Medical Physics may be observed....

Processes with long-range dependence (LRD) have gained wide applications in many fields of science and technologies ranging from hydrology to network traffic. Two key properties of such processes are LRD that is characterized by the Hurst parameter H and self-similarity (SS) that is measured by...

Troubled by unreliable estimates of the fractal dimension from straightforward box-counting applied to invasion percolation in million site short-wide systems (i.e., the length in the average flow direction is the smaller dimension), we undertook a study of the effect of aspect ratio on fractal...

We introduce a new measure for capital market efficiency. The measure takes into consideration the correlation structure of the returns (long-term and short-term memory) and local herding behavior (fractal dimension). The efficiency measure is taken as a distance from an ideal efficient market...

In this study, the mechanism for the growth of manganese deposition on surfaces of magnesite ore is studied. For this purpose pictures of naturally occurring manganese dendrites of different forms encountered on samples of magnesite ore are obtained by a scanner; these pictures are used for...

The fractal properties of some segments of the global commodity derivatives market have been investigated in the present article. The fractal nature of segments of oil and copper derivatives markets has been determined. The presence of speculative reference groups of investors on given segments...

In this paper, we introduce a new measure of capital market efficiency. For its construction, we use the approaches of fractal dimension, Hurst exponent and entropy. The method is applied on 41 stock indices from the beginning of 2000 till the end of August 2011 and interesting results are found...

The paper develops an algorithm for making long-term (up to three months ahead) predictions of volatility reversals based on long memory properties of financial time series. The approach for computing fractal dimension using sequence of the minimal covers with decreasing scale is used to...