Simulated dark matter profiles are often modelled as a ‘NFW’ density profile rather than a single power law. Recently, attention has turned to the rather rigorous power-law behaviour exhibited by the ‘pseudo phase-space density’ of the dark matter halo, which is defined dimensionally in terms of the local density and velocity dispersion of the dark matter particles. The non-power-law behaviour ...

A surprisingly diverse variety of foragers have previously been concluded to exhibit movement patterns known as Lévy flights, a special type of random walk. These foragers range in size from microzooplankton in experiments to fishermen in the Pacific Ocean and the North Sea. The Lévy flight conclusion implies that all the foragers have similar scale-free movement patterns that can be described ...

this research aims to explore the observance of syllable contact law (scl) in persian simple words. to achieve this aim, 4661 contacts were extracted from 9553 simple polysyllabic words. results show that in 45% of the syllable boundaries the sonority drops from the coda of the first syllable to the onset of the next one. also in 68% of the consonant contacts in pure persian words scl is observ...

A length dependence of the effective mobility in the form of a power law, B ∼ L 1− 1 α is observed in dispersive transport in amorphous substances, with 0 < α < 1. We deduce this behavior as a simple consequence of the statistical theory of extreme events. We derive various quantities related to the largest value in samples of n trials, for the exponential and power-law probability densities of...

Galaxies and galaxy clusters are observed to have a rather non-trivial radial behaviour. The observations show that the radial profiles change from one power-law profile near the centre to another power-law profile in the outer region. We present a simple explanation for this complex behaviour by finding the analytical solutions to the governing hydrodynamic equations. We see that the origin of...

It is shown that in a subcritical random graph with given vertex degrees satisfying a power law degree distribution with exponent γ > 3, the largest component is of order n1/(γ−1). More precisely, the order of the largest component is approximatively given by a simple constant times the largest vertex degree. These results are extended to several other random graph models with power law degree ...

It is shown that in a subcritical random graph with given vertex degrees satisfying a power law degree distribution with exponent γ > 3, the largest component is of order n. More precisely, the order of the largest component is approximatively given by a simple constant times the largest vertex degree. These results are extended to several other random graph models with power law degree distrib...

By analyzing trajectories of solid hydrogen tracers, we find that the distributions of velocity in decaying quantum turbulence in superfluid 4He are strongly non-Gaussian with 1/v(3) power-law tails. These features differ from the near-Gaussian statistics of homogenous and isotropic turbulence of classical fluids. We examine the dynamics of many events of reconnection between quantized vortices...

Heavy-tailed or power-law distributions are becoming increasingly common in biological literature. A wide range of biological data has been fitted to distributions with heavy tails. Many of these studies use simple fitting methods to find the parameters in the distribution, which can give highly misleading results. The potential pitfalls that can occur when using these methods are pointed out, ...