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Scientometrics
Article
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Document Server@UHasselt
Article . 1998
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Scientometrics
Article . 1998 . Peer-reviewed
License: Springer TDM
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Article . 1998
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DBLP
Article . 1998
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https://dx.doi.org/10.1007/bf0...
Article
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https://dx.doi.org/10.1007/bf0...
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Mathematical theories of citation

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1998 Belgium English Publisher:Springer Science and Business Media LLCJournal:Scientometrics, volume 43, pages 57-62 (issn: 0138-9130, eissn: 1588-2861, Copyright policy )
Authors: EGGHE, Leo;

doi: 10.1007/bf02458394

handle: 10067/281870151162165141 , 1942/796

Mathematical theories of citation

Abstract

The paper focusses on possible mathematical theories of citation and on the intrinsic problems related to it. It sheds light on aspects of mathematical complexity as e.g. encountered in fractal theory and Mandelbrot's law. There is also a discussion on dynamical aspects of citation theory as reflected in evolutions of journal rankings, centres of gravity or of the set of source journals. Some comments are given in this connection on growth and obsolescence.

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Belgium
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  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 10
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Average
Green
bronze