The asset size distribution of US banks is viewed as the result of a scale-free coagulation process. When two banks merge, the assets of the combined institution equals the sum of the assets of the constituent banks. Analysis of the Smoluchowski coagulation equation suggests the emergence of a...

The increasing number of crimes in areas with large concentrations of people have made cities one of the main sources of violence. Understanding characteristics of how crime rate expands and its relations with the cities size goes beyond an academic question, being a central issue for...

In this paper, we investigate the data of industries in China and find that the frequency distributions of fixed assets and fixed-assets’ investment of industries obey power laws. We show that these power-law modes can be explained by the rules of the Simon Model, rather than the existing...

Some regularities in popular marathon races are identified in this paper. It is found for high-performance participants (i.e., racing times in the range [2:15,3:15]h), the average velocity as a function of the marathoner's ranking behaves as a power-law, which may be suggesting the presence of...

Pareto law, which states that wealth distribution in societies has a power-law tail, has been the subject of intensive investigations in the statistical physics community. Several models have been employed to explain this behavior. However, most of the agent based models assume the conservation...

In a recent work, we introduced two models for the dynamics of customers trying to find the business that best corresponds to their expectation for the price of a commodity. In agreement with the empirical data, a power-law distribution for the business sizes was obtained, taking the number of...

Distribution of extinction sizes constructed from original fossil records exhibits not a single, but a double power-law, with tail exponents being roughly the same in different scales, i.e., for species, families and orders. Moreover, time correlations of extinction sizes decrease with a...

The power α of the Lévy tails of stock market fluctuations discovered in recent years are generally believed to be universal. We show that for the Chinese stock market this is not true, the powers depending strongly on anomalous daily index changes short before market closure, and weakly on...

A complex ad hoc network model with accelerated growth is proposed in this paper. In the evolving process of the model, at each time step with the addition probability c1, a new vertex with m(t) edges is added into the model, which new adding edges are connected with the old vertices according...

We analyze company size distribution for developing countries using the framework proposed by Ramsden and Kiss-Haypál [Physica A 277 (2000) 220]. Although this distribution does not fit developing countries data as good as it does to developed ones, the parameters of the distribution (θ and...