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divided into two parts, four parts, eight parts, and so on, and form a hierarchy with cascade structure. If we rank these …-urban hierarchy complies with Zipf’s law, and the values of the rank-size scaling exponent are very close to 1. The significance of … rank-size rule. Third, it suggests a new way of understanding fractals, Zipf’s law, and spatial organization of urban …
Persistent link: https://www.econbiz.de/10010730344
In this study, the parameters of chaos are analyzed for the leading emerging stock markets: Brazil, Russia, India, China, and Turkey (BRIC-T). As chaos has properties such as nonlinearity, sensitivity to initial conditions, and fractality, we performed different methods to identify the existence...
Persistent link: https://www.econbiz.de/10011268814
Objects and structures presenting fractal like behavior are abundant in the world surrounding us. Fractal theory provides a great deal of tools for the analysis of the scaling properties of these objects. We would like to contribute to the field by analyzing and applying a particular case of the...
Persistent link: https://www.econbiz.de/10011060037
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...
Persistent link: https://www.econbiz.de/10010591484
Persistent link: https://www.econbiz.de/10011453643
A method, based on the Smirnov transform, for generating synthetic data with the statistical properties of Lévy-walks is presented. This method can be utilized for generating arbitrary prescribed probability density functions (pdf). A cybersecurity engineering problem associated with Internet...
Persistent link: https://www.econbiz.de/10012045165
><strong><em>Chaos, Fractals, and Random Modulations in Energy Markets:</em></strong> <ul> <li>The North American Natural Gas Liquids Markets are …
Persistent link: https://www.econbiz.de/10011156400
Since the appearance of the Triple Helix model of innovations, various extensions of the model to higher dimensions, Quadruple, Quintuple, and N-tuple helices, had been proposed. Systemness of growing number of innovation system patterns can be expected to need classification. Also of no less...
Persistent link: https://www.econbiz.de/10010793958
It has been recently noticed that time series of returns in stock markets are of multifractal (multiscaling) character. In that context, multifractality has been always evidenced by its statistical signature (i.e., the scaling exponents associated to a related variable). However, a direct...
Persistent link: https://www.econbiz.de/10010871582
The attractor in usual box-counting methods is partitioned with a fixed grid. We describe an algorithm whose boxes can move into the phase space and adapt to the geometry of the attractor. Lyapunov exponents and the singularity spectrum from time series are estimated using this algorithm.
Persistent link: https://www.econbiz.de/10010871710