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Phys. Rev. Lett. 101, 218701 (2008) [4 pages]

Empirical Tests of Zipf’s Law Mechanism in Open Source Linux Distribution

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T. Maillart1, D. Sornette1, S. Spaeth2, and G. von Krogh2
1Chair of Entrepreneurial Risks, Department of Management, Technology and Economics, ETH Zurich, CH-8001 Zurich, Switzerland
2Chair of Strategic Management and Innovation, Department of Management, Technology and Economics, ETH Zurich, CH-8001 Zurich, Switzerland

Received 30 June 2008; published 19 November 2008

Zipf’s power law is a ubiquitous empirical regularity found in many systems, thought to result from proportional growth. Here, we establish empirically the usually assumed ingredients of stochastic growth models that have been previously conjectured to be at the origin of Zipf’s law. We use exceptionally detailed data on the evolution of open source software projects in Linux distributions, which offer a remarkable example of a growing complex self-organizing adaptive system, exhibiting Zipf’s law over four full decades.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.218701
DOI:
10.1103/PhysRevLett.101.218701
PACS:
89.75.Da, 02.50.Ey, 89.20.Ff