Reconstruction of the Dimension of Complete and Incomplete Fractals

The and methods are used for the fractal analysis of mixed events containing different types of complete and incomplete fractals and impurities. A procedure for analyzing incomplete fractals by the method and a technique for correction in determining the dimension for fractals with a combined partit...

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Veröffentlicht in:Physics of particles and nuclei letters 2019-05, Vol.16 (3), p.240-250
Hauptverfasser: Dedovich, T. G., Tokarev, M. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:The and methods are used for the fractal analysis of mixed events containing different types of complete and incomplete fractals and impurities. A procedure for analyzing incomplete fractals by the method and a technique for correction in determining the dimension for fractals with a combined partition are proposed. It is found that the method fully reconstructs incomplete fractals and suppresses the background, while the separation of fractals and background events using the method depends on the base of fractal formation. It is shown that the method reconstructs the distribution of fractals over dimension more exactly than the method.
ISSN:1547-4771
1531-8567
DOI:10.1134/S1547477119030087