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Extreme fluctuations in noisy task-completion landscapes on scale-free networks | | H. Guclu
; G. Korniss
; Z. Toroczkai
; | | Date: |
13 Jan 2007 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | | Abstract: | 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. | | Source: | arXiv, cond-mat/0701301 | | Services: | Forum | Review | PDF | Favorites | |
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