Acta Physica Sinica, Volume. 68, Issue 7, 078901-1(2019)

Modeling information popularity dynamics based on branching process

Lian-Ren Wu1... Jin-Jie Li2,*, and Jia-Yin Qi13 |Show fewer author(s)
Author Affiliations
  • 1School of Management, Shanghai University of International Business and Economics, Shanghai 201620, China
  • 2College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, China
  • 3Key Laboratory of Trustworthy Distributed Computing and Service, Beijing University of Posts and Telecommunications, Beijing 100876, China
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    Figures & Tables(6)
    Schematic of the model.流行度模型示意图
    Distribution of micro-blogs popularity.微博的流行度分布
    Distribution of out-degree and in-degree.微博用户度分布
    Mean popularity of Micro-blogs.微博信息平均流行度
    Complementary cumulative distribution functions (CCDFs)—the fraction of micro-blogs with popularity.微博信息流行度的互补累积概率分布(CCDF)
    • Table 1. Single time-step outcomes of user’s list.

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      Table 1. Single time-step outcomes of user’s list.

      列表S概率${G_{jk}}\left( {t,\varOmega ;x} \right)$
      (a)被新收到的信息所占据$k\Delta t$1
      (b)创造了一条新的信息${\mu} \Delta t$1
      (c)以概率 $1 - {\mu} $转发信息 $(1 - {\mu} )\Delta t$$x{G_{jk}}\left( {t - \Delta t,\varOmega ;x} \right){\left[ {G\left( {t - \Delta t,\varOmega ;x} \right)} \right]^k}$
      (d)保持原样$1 - \left( {k + 1} \right)\Delta t$${G_{jk}}\left( {t - \Delta t,\varOmega ;x} \right)$
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    Lian-Ren Wu, Jin-Jie Li, Jia-Yin Qi. Modeling information popularity dynamics based on branching process[J]. Acta Physica Sinica, 2019, 68(7): 078901-1

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    Paper Information

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    Received: Nov. 2, 2018

    Accepted: --

    Published Online: Oct. 29, 2019

    The Author Email:

    DOI:10.7498/aps.68.20181948

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