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Journal Article

Anomalous diffusion in the citation time series of scientific publications

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Zamani,  Maryam
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Aghion,  Erez
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Kantz,  Holger
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2106.10038.pdf
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Citation

Zamani, M., Aghion, E., Pollner, P., Vicsek, T., & Kantz, H. (2021). Anomalous diffusion in the citation time series of scientific publications. Journal of Physics: Complexity, 2(3): 035024. doi:10.1088/2632-072X/ac24f1.


Cite as: http://hdl.handle.net/21.11116/0000-0009-6B32-7
Abstract
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 proportional to t (2H ), where H not equal 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 a 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.