Extreme fluctuations in noisy task-completion landscapes on scale-free networks


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Guclu H. , Korniss G., Toroczkai Z.

CHAOS, cilt.17, 2007 (SCI İndekslerine Giren Dergi) identifier identifier identifier

  • Cilt numarası: 17 Konu: 2
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1063/1.2735446
  • Dergi Adı: CHAOS

Özet

We study the statistics and scaling of extreme fluctuations in noisy task-completion landscapes, such as those emerging in synchronized distributed-computing networks, or generic causally constrained queuing networks, with scale-free topology. In these networks the average size of the fluctuations becomes finite (synchronized state) and the extreme fluctuations typically diverge only logarithmically in the large system-size limit ensuring synchronization in a practical sense. Provided that local fluctuations in the network are short tailed, the statistics of the extremes are governed by the Gumbel distribution. We present large-scale simulation results using the exact algorithmic rules, supported by mean-field arguments based on a coarse-grained description.(c) 2007 American Institute of Physics.