Statistical properties of distances between all quintuplets and hexaplets are calculated and long-range distributions are observed for certain quintuplets and hexaplets, common in human chromosomes 21 and 22. The oligonucleotides were ordered according to their power-law exponents and this...

Because sports are stylized combat, sports may follow power laws similar to those found for wars, individual clashes, and acts of terrorism. We show this fact for football (soccer) by adjusting power laws that show a close relationship between rank and points won by the clubs participating in...

In this paper, we examine an agent-based model, and an equation-based model in the form of a mean field model. We show how the mean field model is a small, fast model that identifies the high level properties of a subject, in this case financial time series’ stylized facts. The agent based...

The Internet is known to have had a powerful impact on on-line retailer strategies in markets characterised by long-tail distribution of sales [C. Anderson, Long Tail: Why the Future of Business is Selling Less of More, Hyperion, New York, 2006]. Such retailers can exploit the long tail of the...

The question, what information about the system can be derived from short time series of potassium current signal recorded at various voltages, has been posed. The statistical analysis of 4000-point data samples of ionic current in a single channel of the biological membrane is presented. The...

Moving particles that rest along their trajectory lead to time-fractional diffusion equations for the scaling limit distributions. For power law waiting times with infinite mean, the equation contains a fractional time derivative of order between 0 and 1. For finite mean waiting times, the most...

Recently it has been found that composite Brownian walk searches are more efficient than any Lévy walk when searching is non-destructive and when the Lévy walks are not responsive to conditions found in the search. Here a new class of adaptive Lévy walk searches is presented that encompasses...

We show that within classical statistical mechanics it is possible to naturally derive power-law distributions which are of Tsallis type. The only assumption is that microcanonical distributions have to be separable from of the total system energy, which is reasonable for any sensible...

This paper discusses non-exponential growth patterns of macroeconomic models. More specifically, the paper discusses asymptotic growth patterns of the numbers of clusters and of components of partition vectors, that is, the number of clusters of specific sizes, of one- and two-parameter Poisson-...

The natural sciences have established a general scaling law that relates metabolism and body size of animals. Recently this association - known as Kleiber's law - has received deep theoretical foundation by network theory and has been fruitfully applied to explain various biological phenomena,...