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Scaling relation for earthquake networks

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  • Abe, Sumiyoshi
  • Suzuki, Norikazu

Abstract

The scaling relation, 2γ−δ=1, for the exponents of the power-law connectivity distribution, γ, and the power-law eigenvalue distribution of the adjacency matrix, δ, is theoretically predicted to be fulfilled by a locally treelike scale-free network in the “effective medium approximation” (i.e., an analog of the mean field approximation). Here, it is shown that such a relation holds well for the reduced simple earthquake networks (i.e., the network without tadpole-loops and multiple edges) constructed from the seismic data taken from California and Japan. This validates the goodness of the effective medium approximation in the earthquake networks and is consistent with the hierarchical organization of the networks. The present result may be useful for modeling seismicity on complex networks.

Suggested Citation

  • Abe, Sumiyoshi & Suzuki, Norikazu, 2009. "Scaling relation for earthquake networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2511-2514.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:12:p:2511-2514
    DOI: 10.1016/j.physa.2009.02.022
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    Cited by:

    1. Xu, Yanjie & Ren, Tao & Liu, Yiyang & Li, Zhe, 2018. "Earthquake prediction based on community division," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 969-974.
    2. Deyasi, Krishanu & Chakraborty, Abhijit & Banerjee, Anirban, 2017. "Network similarity and statistical analysis of earthquake seismic data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 224-234.

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