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

@inproceedings{Hidalgo2005StationarySS,
  title={Stationary state structure of a random copying mechanism over a complex network},
  author={C{\'e}sar A. Hidalgo and Francisco H. Claro and Pablo A Marquet},
  year={2005}
}
  • César A. Hidalgo, Francisco H. Claro, Pablo A Marquet
  • Published 2005
  • Mathematics, Physics
  • 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. 

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