We analyze the citation time-series of manuscripts in three different fields of science; physics, social science and technology. The evolution of the time-series of the yearly number of citations, namely the citation trajectories, diffuse anomalously, their variance scales with time $\propto t^{2H}$, where $H\neq 1/2$. We provide detailed analysis of the various factors that lead to the anomalous behavior: non-stationarity, long-ranged correlations and a fat-tailed increment distribution. The papers exhibit high degree of heterogeneity, across the various fields, as the statistics of the highest cited papers is fundamentally different from that of the lower ones. The citation data is shown to be highly correlated and non-stationary; as all the papers except the small percentage of them with high number of citations, die out in time.
翻译:我们分析了三个不同的科学领域(物理学、社会科学和技术)手稿的引用时间序列。每年引用次数的时间序列的演变,即引证轨迹、无序扩散、其与时间(美元/美元/美元/美元/美元/美元/美元/美元/美元/美元/美元)的差异比例。我们详细分析了导致反常行为的各种因素:非静态、长期相关关系和脂肪零售增量分布。论文显示,不同领域不同程度的异质性,因为引用最多的论文的统计与较低论文的统计有根本的不同。引证数据显示高度关联和非静态;所有论文,只有很少百分比的引用,都及时死亡。