The relationship between firms' growth rates and firm size distribution has been extensively analyzed in the literature. In particular, the breakdown of Gibrat law for medium and small firms has been identified as the reason for the emergence of a power law only in right tail of the size...

During my last conversation with Masanao Aoki, he told me that the concept of non-self averaging in statistical physics, frequently appearing in economic and financial systems, has important consequences to policy implication. Zipf's law in firms-size distribution is one of such examples. Recent...

A firms growth and failure are the two sides of the same coin. This paper reports new phenomenological findings for firm size distribution and growth, and bankruptcy. This paper is based on [Y. Fujiwara et al., Physica A 335 (2004) 197] and on [Y. Fujiwara, Physica A 337 (2004) 219]. See also...

By employing exhaustive lists of large firms in European countries, we show that the upper-tail of the distribution of firm size can be fitted with a power-law (Pareto–Zipf law), and that in this region the growth rate of each firm is independent of the firm's size (Gibrat's law of...

Using an exhaustive list of Japanese bankruptcy in 1997, we discover a Zipf law for the distribution of total liabilities of bankrupted firms in high debt range. The life-time of these bankrupted firms has exponential distribution in correlation with entry rate of new firms. We also show that...