Analysis of word frequency have historically used data that included English, French, or other language, data typically described by Zipf's law. Using data on traditional and modern Chinese literatures, we show here that Chinese character frequency stroked Zipf's law based on literature before...

Clustering has often described by Ewens Sampling Formula (ESF). Focusing the attention on the evergreen problem of the size of firms, we discuss the compatibility of empirical data and ESF. In order to obtain a power law for all sizes in the present paper we shall explore the route inspired by...

We introduce a mean-field-type approximation for description of company's income statistics. Utilizing huge company data we show that a discrete version of Langevin equation with additive and multiplicative noises can appropriately describe the time evolution of a company's income fluctuation in...

We analyze the overall size distribution across all French settlements in the year 2008. The sizes of the largest French cities follow the famous Zipf's law fairly closely, with Paris being a notable outlier. However, for the overall city size distribution (CSD), Zipf's law is not a useful...

This paper describes the size distribution of all Cambodian establishments for 2009, showing that small- and large-scale establishments accounted for the largest share of employment. We find limited evidence for Zipf's law because Cambodian industry is characterized by a more dense mass of small...

Past and current experiences can be studied in order to understand the main phenomena driving urbanization and thus to better anticipate the future challenges for cities. We distinguish between the main historical time periods of cities. Then, we discuss some regularities related to the internal...

There has been vast interest in the distribution of city sizes in an economy, but this research has largely neglected that cities also differ along another fundamental dimension: age. Using novel data on the foundation dates of more than 10,000 American cities, we find that older cities in the...