In this paper, a quantitative temporal and spatial analysis of the dynamics of hot topics popularity in Micro-blogging system was provided. Firstly, the popularity time series of 1167 hot topics were counted and calculated by Excel. Secondly, based on MATLAB software,the popularity time series were clustered into six clusters by K-spectral centroid (K-SC) clustering algorithm. Thirdly, we analyzed temporal patterns and spatial patterns of popularity dynamics of topics by statistical methods. The results show that temporal popularity of micro-blogging topics is rapidly dying, and the distribution of popularity is subject to the power law form. In addition, most of the Micro-blogging topics are global topic. Our results can provide a literature reference for studying the influence of online hot topics and the evolution of public opinion.

中文翻译：

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使用微博客时空数据表征热门话题的流行度动态

在本文中，对微博系统中热门话题流行的动力学进行了定量的时空分析。首先，用Excel计算并计算了1167个热门话题的受欢迎程度时间序列。其次，基于MATLAB软件，通过K谱质心（K-SC）聚类算法将流行度时间序列聚类为六个聚类。第三，我们通过统计方法分析了主题流行度动态的时间格局和空间格局。结果表明，微博主题的时间流行度正在迅速消失，流行度的分布服从幂律形式。另外，大多数微博客主题都是全局主题。我们的研究结果可为研究网络热点话题的影响和民意的演变提供文献参考。