CAS OpenIR  > 中科院上海应用物理研究所2011-2020年
Origin of Gibrat law in Internet: Asymmetric distribution of the correlation
Qian, JH; Chen, Q; Han, DD; Ma, YG; Shen, WQ;
Source PublicationPHYSICAL REVIEW E
AbstractAlthough Gibrat's law and its generalized versions have been widely used, the organizing principle behind its phenomenological theory has been poorly studied for network-structured systems. More important, its fluctuation behavior, which contradicts the prediction of the preferential attachment (PA), indicates a nontrivial mechanism that goes beyond our present knowledge based on the traditional mean-field approach. Here, we take advantage of the rich data of the Internet and aim to identify the origin of Gibrat's law by studying the empirical fluctuation behavior. We show how the correlation between the fluctuations of the node degree increment affects the dynamics of the network. Specifically, if the distribution of the correlation is symmetric, the network evolves as the classical PA, while if such symmetry breaks, the fluctuation becomes macroscopically positively correlated and contributes to the emergence of Gibrat's law. These results indicate a local collective increase in the actual network evolution, which provides a new paradigm and understanding of the related microcosmic dynamics.
KeywordEvolving Networks Growth Dynamics Emergence Topology
Indexed BySCI
WOS IDWOS:000337345300009
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
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GB/T 7714
Qian, JH,Chen, Q,Han, DD,et al. Origin of Gibrat law in Internet: Asymmetric distribution of the correlation[J]. PHYSICAL REVIEW E,2014,89(6).
APA Qian, JH,Chen, Q,Han, DD,Ma, YG,Shen, WQ,& of Gibrat law in Internet: Asymmetric distribution of the correlation.PHYSICAL REVIEW E,89(6).
MLA Qian, JH,et al."Origin of Gibrat law in Internet: Asymmetric distribution of the correlation".PHYSICAL REVIEW E 89.6(2014).
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