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Grant support

The computational part of this work was performed in EOLO, the HPC of Climate Change of the International Campus of Excellence of Moncloa, funded by the MECD and MICINN. This is a contribution to the CEI Moncloa.

Analysis of institutional authors

Llorente, MartaAuthor

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Article

On the packing measure of the Sierpinski gasket

Publicated to:Nonlinearity. 31 (6): 2571-2589 - 2018-06-01 31(6), DOI: 10.1088/1361-6544/aab31c

Authors: Llorente, Marta; Eugenia Mera, M; Moran, Manuel

Affiliations

Univ Autonoma Madrid, Dept Anal Econ Econ Cuantitat, Campus Cantoblanco, E-28049 Madrid, Spain - Author
Univ Complutense Madrid, Dept Anal Econ & Econ Cuantitat, Campus Somosaguas, Madrid 28223, Spain - Author
Univ Complutense Madrid, IMI Inst Interdisciplinary Math, E-28040 Madrid, Spain - Author

Abstract

Keywords

AlgorithmCantor setsCentered hausdorff measuresComputabilityComputability of fractal measuresDimensionEquationsFractalsPacking measureSelf-similar setsSierpinski gasket

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Nonlinearity due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2018, it was in position 54/253, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics, Applied.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 2.55, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-18, the following number of citations:

  • WoS: 4
  • Scopus: 4
  • OpenCitations: 3

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-18:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 3.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 3.
  • The number of mentions on Wikipedia: 1 (Altmetric).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (LLORENTE COMI, MARTA) .