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Power-law distributions resulting from finite resources

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  • Wilhelm, Thomas
  • Hänggi, Peter

Abstract

An elementary stochastic model, termed the normalization model, is put forward which does demonstrate that power-laws generically occur in systems with finite resources. The model is capable to exhibit power-law distributions with arbitrary power law exponents; nevertheless, for a large fraction of the parameter space power law exponents near unity are obtained.

Suggested Citation

  • Wilhelm, Thomas & Hänggi, Peter, 2003. "Power-law distributions resulting from finite resources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 329(3), pages 499-508.
    • Handle: RePEc:eee:phsmap:v:329:y:2003:i:3:p:499-508
    DOI: 10.1016/S0378-4371(03)00609-5
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    Cited by:

    1. Wilhelm, Thomas & Hollunder, Jens, 2007. "Information theoretic description of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 385-396.

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