The unified scientometric model. Fractality and transfractality

R. Bailón-Moreno, E. Jurado-Alameda, R. Ruiz-Baños and J. P. Courtial
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R. Bailón-Moreno: Departamento de Ingeniería Química. Facultad de Ciencias, Campus de Fuentenueva Universidad de Granada
E. Jurado-Alameda: Departamento de Ingeniería Química. Facultad de Ciencias, Campus de Fuentenueva Universidad de Granada
R. Ruiz-Baños: Departamento de Biblioteconomía y Documentación, Facultad de Biblioteconomía y Documentación, Universidad de Granada
J. P. Courtial: Laboratoire de Psychologie - Education - Cognition Développement (LabECD), Université de Nantes

Scientometrics, 2005, vol. 63, issue 2, No 3, 257 pages

Abstract: Summary A unified scientometric model has been developed on the basis of seven principles: the actor-network principle, the translation principle, the spatial principle, the quantativity principle, the composition principle, the centre-periphery or nucleation principle, and the unified principle of cumulative advantages. The paradigm of the fractal model has been expanded by introducing the concept of fractality index and transfractality. In this work, as the first demonstration of the power of the model proposed, all the bibliometric laws known and all their mathematical expressions are deduced, both the structural distributions (Zipf, Bradford and Lotka) as well as the Price's Law of the exponential growth of science and Brookes' and Avramescu's Laws of ageing.

Date: 2005
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DOI: 10.1007/s11192-005-0221-3

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