Anomalous diffusion in the citation time series of scientific publications
| Autor: | Holger Kantz, Erez Aghion, Tamás Vicsek, Péter Pollner, Maryam Zamani |
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| Rok vydání: | 2021 |
| Předmět: |
FOS: Computer and information sciences
Physics - Physics and Society Degree (graph theory) Series (mathematics) Computer Networks and Communications Anomalous diffusion FOS: Physical sciences Computer Science - Digital Libraries Variance (accounting) Anomalous behavior Physics and Society (physics.soc-ph) Computer Science::Digital Libraries Computer Science Applications Stochastic processes Artificial Intelligence Digital Libraries (cs.DL) Statistical physics Citation Citation data Information Systems Mathematics |
| Zdroj: | Journal of Physics: Complexity |
| Popis: | 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. Comment: 12 pages, 12 figures |
| Databáze: | OpenAIRE |
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