The Zipf analysis of n-words in random sequences and financial data series like the stock prices of a company has been performed. The bias as well as the resulting staircase structure of the Zipf plots are taken into account in the subsequent analysis. It is found that correlations for the sign...

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...

Coupled continuous time random walks (CTRWs) model normal and anomalous diffusion of random walkers by taking the sum of random jump lengths dependent on the random waiting times immediately preceding each jump. They are used to simulate diffusion-like processes in econophysics such as stock...

Ormerod and Mounfield (Physica A 293 (2001) 573) analyse GDP data of 17 leading capitalist economies from 1870 to 1994 and conclude that the frequency of the duration of recessions is consistent with a power law. But in fact the data is consistent with an exponential (Boltzmann–Gibbs) law.

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...