How do the lifestyles (free-living unparasitized, free-living parasitized, and parasitic) of animal species affect major ecological power-law relationships? We investigated this question in metazoan communities in lakes of Otago, New Zealand. In 13,752 samples comprising 1,037,058 organisms, we found that species of different lifestyles differed in taxonomic distribution and body mass and were ...

This paper analyses the statistical distribution of war sizes. Using the method recently proposed by Clauset, Shalizi, and Newman (2009), we find moderate support for a Pareto-type distribution (power law), using data from different sources (COW and UCDP) and periods. A power law accurately describes not only the size distribution of all wars, but also the distribution of the sample of wars in ...

The frequency of occurrence of prime numbers at unit number spacing intervals exhibits selfsimilar fractal fluctuations concomitant with inverse power law form for power spectrum generic to dynamical systems in nature such as fluid flows, stock market fluctuations, population dynamics, etc. The physics of long-range correlations exhibited by fractals is not yet identified. A recently developed ...

Hydrodynamical calculations in three space dimensions of the collapse of an isothermal, rotating 1 M⊙ protostellar cloud are presented. The initial density stratification is a power law with density ρ ∝ r, with p = 1. The case of the singular isothermal sphere (p = 2) is not considered; however p = 1 has been shown observationally to be a good representation of the density distribution in molec...

Cancer cells are characterized by having aberrant chromosomes. The number of aberrations and the specific chromosomes affected are correlated with tumor progression. We show that for breast, colorectal, and renal cell carcinomas the distribution of the number of such aberrations per tumor follow a power law distribution with an exponent close to unity. We present two stochastic models that in s...

We are grateful to Martin Dodge (1999) who originally collected the data on Web size and hyperlinks from AltaVista ABSTRACT This study compares the statistical patterns of size and connectivity of the global domains (as in " .com " and " .uk ") to the geographical distribution of the global population. As the development of Web sites represents the cutting edge of the new global economy, their ...

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the...

Link Prediction deals with predicting important non-existent edges in a social network that are likely to occur in the near future. Typically a link between two nodes is predicted if the two nodes have high similarity. Well-known local similarity functions make use of information from all the local neighbors. These functions use the same form irrespective of the degree of the common neighbors. ...

We discovered that the distribution of dividends in Korean horse races follows a power law. A simple model of betting is proposed, which reproduces the observed distribution. The model provides a mechanism to arrive at the true underlying winning probabilities, which are initially unknown, in a self-organized collective fashion, through the dynamic process of betting.

Bubbling fluidized beds are granular systems, in which a deep layer of particles is set in motion by a vertical gas stream, with the excess gas rising as bubbles through the bed. We show that pressure fluctuations in such a system have non-Gaussian statistics. The probability density function has a power-law drop-off and is very well represented by a Tsallis distribution. Its shape is explained...