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Heterogenous scaling in the inter-event time of on-line bookmarking

Author

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  • Wang, Peng
  • Xie, Xiao-Yi
  • Yeung, Chi Ho
  • Wang, Bing-Hong

Abstract

In this paper, we study the statistical properties of bookmarking behaviors in Delicious.com. We find that the inter-event time (τ) distributions of bookmarking decay in a power-like manner as τ increases at both individual and population levels. Remarkably, we observe a significant change in the exponent when the inter-event time increases from the intra-day range to the inter-day range. In addition, the dependence of the exponent on individual activity is found to be different in the two ranges. Instead of monotonically increasing with activity, the inter-day exponent peaks around 3. These results suggest that the mechanisms driving human actions are different in the intra-day and inter-day ranges. We further show that the global distributions of less active users are closer to an exponential distribution than those of more active users. Moreover, a universal behavior in the inter-day range is observed by considering the rescaled variable τ/〈τ〉. Finally, the possible causes of these phenomena are discussed.

Suggested Citation

  • Wang, Peng & Xie, Xiao-Yi & Yeung, Chi Ho & Wang, Bing-Hong, 2011. "Heterogenous scaling in the inter-event time of on-line bookmarking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2395-2400.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:12:p:2395-2400
    DOI: 10.1016/j.physa.2011.02.026
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    Citations

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    Cited by:

    1. Peng, Dan & Han, Xiao-Pu & Wei, Zong-Wen & Wang, Bing-Hong, 2015. "Punctuated equilibrium dynamics in human communications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 36-44.
    2. Lin, Zhiting & Wu, Xiaoqing & He, Dongyue & Zhu, Qiang & Ni, Jixiang, 2016. "Analyzing and modeling heterogeneous behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 287-293.
    3. Li, Mu-Yao & Cai, Qing & Gu, Gao-Feng & Zhou, Wei-Xing, 2019. "Exponentially decayed double power-law distribution of Bitcoin trade sizes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    4. Zhou, Bin & Xie, Jia-Rong & Yan, Xiao-Yong & Wang, Nianxin & Wang, Bing-Hong, 2017. "A model of task-deletion mechanism based on the priority queueing system of Barabási," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 415-421.
    5. Wang, Chenxu & Guan, Xiaohong & Qin, Tao & Yang, Tao, 2015. "Modeling the heterogeneity of human dynamics based on the measurements of influential users in Sina Microblog," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 239-249.

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