Modulated Branching Processes, Origins of Power Laws, and Queueing Duality

@article{Jelenkovic2010ModulatedBP,
  title={Modulated Branching Processes, Origins of Power Laws, and Queueing Duality},
  author={Predrag R. Jelenkovic and Jian Tan},
  journal={Math. Oper. Res.},
  year={2010},
  volume={35},
  pages={807-829}
}
Power law distributions have been repeatedly observed in a wide variety of socioeconomic, biological, and technological areas. In many of the observations, e.g., city populations and sizes of living organisms, the objects of interest evolve because of the replication of their many independent components, e.g., births and deaths of individuals and replications of cells. Furthermore, the rates of replications are often controlled by exogenous parameters causing periods of expansion and… 

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