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Stationary state structure of a random copying mechanism over a complex network

Author

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  • Hidalgo, César A.
  • Claro H., Francisco
  • Marquet, Pablo A.

Abstract

An analytical approach to network dynamics is used to show that when agents copy their state randomly, the network arrives to a stationary regime in which the distribution of states is independent of the degree. The effects of network topology on the process are characterized introducing a quantity called influence and studying its behavior for scale-free and random networks. We show that for this model degree averaged quantities are constant in time regardless of the number of states involved.

Suggested Citation

  • Hidalgo, César A. & Claro H., Francisco & Marquet, Pablo A., 2005. "Stationary state structure of a random copying mechanism over a complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 353(C), pages 674-684.
    • Handle: RePEc:eee:phsmap:v:353:y:2005:i:c:p:674-684
    DOI: 10.1016/j.physa.2005.01.035
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