Generalised Central Limit Theorems for Growth Rate Distribution of Complex Systems View Full Text


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Article Info

DATE

2014-04

AUTHORS

Misako Takayasu, Hayafumi Watanabe, Hideki Takayasu

ABSTRACT

We introduce a solvable model of randomly growing systems consisting of many independent subunits. Scaling relations and growth rate distributions in the limit of infinite subunits are analysed theoretically. Various types of scaling properties and distributions reported for growth rates of complex systems in a variety of fields can be derived from this basic physical model. Statistical data of growth rates for about 1 million business firms are analysed as a real-world example of randomly growing systems. Not only are the scaling relations consistent with the theoretical solution, but the entire functional form of the growth rate distribution is fitted with a theoretical distribution that has a power-law tail. More... »

PAGES

47-71

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10955-014-0956-4

DOI

http://dx.doi.org/10.1007/s10955-014-0956-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1002747374


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