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A preliminary investigation on diffusion through a layered system

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  • Rousseau, Ronald
  • Liu, Yuxian
  • Ye, Fred Y.

Abstract

We introduce layered systems such as the citations–citing authors–citing institutes–citing countries one. Diffusion of scientific ideas flows through such layered systems. Our contribution contains three main topics: a fractional counting system for the number of different units in a layer; the fractional number of items of the same type, i.e. in the same layer, over which ideas have been diffused; and the evenness of diffusion over different layers. In this way we construct a coherent system to measure the extent to which scientific ideas are diffused.

Suggested Citation

  • Rousseau, Ronald & Liu, Yuxian & Ye, Fred Y., 2012. "A preliminary investigation on diffusion through a layered system," Journal of Informetrics, Elsevier, vol. 6(2), pages 177-191.
    • Handle: RePEc:eee:infome:v:6:y:2012:i:2:p:177-191
    DOI: 10.1016/j.joi.2012.01.005
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    References listed on IDEAS

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    1. Loet Leydesdorff & Ismael Rafols, 2011. "Local emergence and global diffusion of research technologies: An exploration of patterns of network formation," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(5), pages 846-860, May.
    2. Ismael Rafols & Martin Meyer, 2010. "Diversity and network coherence as indicators of interdisciplinarity: case studies in bionanoscience," Scientometrics, Springer;Akadémiai Kiadó, vol. 82(2), pages 263-287, February.
    3. Yuxian Liu & Ronald Rousseau, 2010. "Knowledge diffusion through publications and citations: A case study using ESI-fields as unit of diffusion," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 61(2), pages 340-351, February.
    4. Xiaojun Hu, 2009. "Loads of special authorship functions: Linear growth in the percentage of “equal first authors” and corresponding authors," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 60(11), pages 2378-2381, November.
    5. Giovanni Peri, 2005. "Determinants of Knowledge Flows and Their Effect on Innovation," The Review of Economics and Statistics, MIT Press, vol. 87(2), pages 308-322, May.
    6. Nadine Rons & Lucy Amez, 2009. "Impact vitality: an indicator based on citing publications in search of excellent scientists," Research Evaluation, Oxford University Press, vol. 18(3), pages 233-241, September.
    7. Yuxian Liu & Ronald Rousseau, 2010. "Knowledge diffusion through publications and citations: A case study using ESI‐fields as unit of diffusion," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 61(2), pages 340-351, February.
    8. Fiorenzo Franceschini & Domenico Maisano & Anna Perotti & Andrea Proto, 2010. "Analysis of the ch-index: an indicator to evaluate the diffusion of scientific research output by citers," Scientometrics, Springer;Akadémiai Kiadó, vol. 85(1), pages 203-217, October.
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    Cited by:

    1. Rousseau, Ronald & Liu, Yuxian & Guns, Raf, 2013. "Mathematical properties of Q-measures," Journal of Informetrics, Elsevier, vol. 7(3), pages 737-745.
    2. Liu, Yuxian & Rousseau, Ronald & Guns, Raf, 2013. "A layered framework to study collaboration as a form of knowledge sharing and diffusion," Journal of Informetrics, Elsevier, vol. 7(3), pages 651-664.

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