Fluctuations and Pseudo Long Range Dependence in Network Flows: A Non-Stationary Poisson Process Model

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dc.creatorChen, Yudong
dc.creatorLi, Li
dc.creatorZhang, Yi
dc.creatorHu, Jianming
dc.date2008-06-02
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:12:24Z
dc.date.available2026-07-07T13:12:24Z
dc.descriptionIn the study of complex networks (systems), the scaling phenomenon of flow fluctuations refers to a certain power-law between the mean flux (activity) $<F_i>$ of the $i$th node and its variance $σ_i$ as $σ_i \propto < F_{i} > ^α$. Such scaling laws are found to be prevalent both in natural and man-made network systems, but our understanding of their origins still remains limited. In this paper, a non-stationary Poisson process model is proposed to give an analytical explanation of the non-universal scaling phenomenon: the exponent $α$ varies between 1/2 and 1 depending on the size of sampling time window and the relative strength of the external/internal driven forces of the systems. The crossover behavior and the relation of fluctuation scaling with pseudo long range dependence are also accounted for by the model. Numerical experiments show that the proposed model can recover the multi-scaling phenomenon.
dc.descriptionThere is a mistake in the previous axiv post (indeed the scaling law holds for both Δt > τand Δt < τ)
dc.identifierhttps://arxiv.org/abs/0806.0206
dc.identifierhttp://arxiv.org/abs/0806.0206
dc.identifierChinese Physics B, vol. 18, no. 4, pp. 1373-1379, 2009.
dc.identifierdoi:10.1088/1674-1056/18/4/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229569
dc.subjectData Analysis, Statistics and Probability
dc.titleFluctuations and Pseudo Long Range Dependence in Network Flows: A Non-Stationary Poisson Process Model
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