文献类型：期刊文献

英文题名：Statistical properties of user activity fluctuations in virtual worlds

作者：Yang, Yan-Hong[1,2]; Xie, Wen-Jie[1,2]; Li, Ming-Xia[2,3]; Jiang, Zhi-Qiang[1,2,5]; Zhou, Wei-Xing[1,3,4,5]

机构：[1] School of Business, East China University of Science and Technology, Shanghai, 200237, China; [2] Research Center for Econophysics, East China University of Science and Technology, Shanghai, 200237, China; [3] School of Sports Science and Engineering, East China University of Science and Technology, Shanghai, 200237, China; [4] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China; [5] School of Business, East China University of Science and Technology, 130 Meilong Road, P.O. Box 114, Shanghai, 200237, China

年份：2019

外文期刊名：arXiv

收录：EI(收录号：20200255481)

语种：英文

外文关键词：Fractals - Interactive computer graphics

摘要：User activity fluctuations reflect the performance of online society. We investigate the statistical properties of 1-min user activity time series of simultaneously online users inhabited in 95 independent virtual worlds. The number of online users exhibits clear intraday and weekly patterns due to human’s circadian rhythms and week cycles. Statistical analysis shows that the distribution of absolute activity fluctuations has a power-law tail for 44 virtual worlds with an average tail exponent close to 2.15. The partition function approach unveils that the absolute activity fluctuations possess multifractal features for all the 95 virtual worlds. For the sample of 44 virtual worlds with power-law tailed distributions of the absolute activity fluctuations, the width of singularity ?α is negatively correlated with the maximum activity (p-value=0.070) and the time to the maximum activity (p-value=0.010). The negative correlations are not observed for neither the other 51 virtual worlds nor the whole sample of the 95 virtual worlds. In addition, numerical experiments indicate that both temporal structure and large fluctuations have influence on the multifractal spectrum. We also find that the temporal structure has stronger impact on the singularity width than large fluctuations. [Chaos, Solitons & Fractals 105, 271-278 (2017)] Copyright ? 2019, The Authors. All rights reserved.