The fractal and self-similarity properties are revealed in many real complex networks. However, the classical information dimension of complex networks is not practical for real complex networks. In this paper, a new information dimension to characterize the dimension of complex networks is proposed. The difference of information for each box in the box-covering algorithm of complex networks is...

Ample past research demonstrates that human rhythmic behavior and 1 rhythmic coordination reveal complex dynamics. More recently, researchers have 2 begun to examine the dynamics of coordination with complex, fractal signals. Here, 3 we present preliminary research investigating how recurrence quantification tech4 niques might be applied to study temporal coordination with complex signals. 5 Pa...

The paper presents algorithms for measuring the fractal dimension of real and complex digital signals embedded in one, two or higher dimensional spaces. Simple, yet efficient MATLAB implementations, allowing the fast handling of whole chromosome complex genomic signals, are described. Both global and local fractal dimension measurements are performed, as required by the fractal structure analys...

Jia Shao, Sergey V. Buldyrev, Reuven Cohen, Maksim Kitsak, Shlomo Havlin, and H. Eugene Stanley Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA Department of Physics, Yeshiva University, 500 West 185th Street, New York, New York 10033, USA Department of Mathematics, Bar-Ilan University, 52900 Ramat-Gan, Israel Minerva Center and Departme...

Many archaeological patterns are fractal. Fractal analysis, therefore, has much to contribute to archaeology. This article offers an introduction to fractal analysis for archaeologists. We explain what fractals are, describe the essential methods of fractal analysis, and present archaeological examples. Some examples have been published previously, while others are presented here for the first ...

In this paper, built-up land expansion patterns and the associated factors were characterized in urban and non-urban areas across the Wen-Tai region of eastern China. Fractal dimension can be used as a reliable indicator of the complexity of built-up land form, and the increasing trend of fractal dimension indicated a more complex, dispersed pattern of built-up land in urban areas. Spatial regr...

Introduction: Graph theoretical analysis of functional Magnetic Resonance Imaging (fMRI) data has provided new measures of mapping human brain in vivo. Of all methods to measure the functional connectivity between regions, Linear Correlation (LC) calculation of activity time series of the brain regions as a linear measure is considered the most ubiquitous one. The strength of the dependence obl...