We discuss Pareto–Zipf's law and Gibrat's law found in the high-end regions of personal income, company's income, and various measures of company size. The fact that these phenomenological laws coexist in wide range of data suggests some deep mathematical relations between them. In this paper...

We present a statistical model for the distribution of Chinese names. Both family names and given names are studied on the same basis. With naive expectation, the distribution of family names can be very different from that of given names. One is affected mostly by genealogy, while the other can...

Recent evidence suggests that a power-law relationship exists between a firm's size and the variance of its growth rate. The flatness of the relation is regarded as puzzling, in that it suggests that large firms are not much more stable than small firms. It has been suggested that the power-law...

In previous work, it has been proposed that urban structures may be understood as a result of self-organization principles. In particular, researchers have identified fractal structures of public transportation networks and land use patterns. Here, we will study spatial distribution systems for...

The temperature factors series of protein backbone atoms resulting from the X-ray diffraction analysis of crystal data were analyzed by fast Fourier transform, detrended fluctuation analysis (DFA) and correlation dimension. The spectral analysis of 50 randomly selected proteins revealed the...

We propose an iterative correlator with random seeds as a method to generate series characterized by a low-dimensional attractor (D≈4.65) and scaling properties described by a power law P=1/fa where 0a≈2. The method basically introduces an interaction factor between the terms of the series....

We analyze the average size distribution of a pool of the G7 group's firms over the period 1987–2000. In particular, firm sizes are measured employing different proxies, and after conditioning on business cycle phases. We find that: (i) the empirical distributions are all consistent with a...