Fractal reconstruction in the presence of background events

An analysis of a data set containing fractals and background events is carried out using the method of the equation system of P-adic coverings ( SePaC ) and by the box-counting ( BC ) method. The peculiarities of these methods applied to the search for fractals in sets containing only fractals and b...

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Bibliographic Details
Published in:Physics of particles and nuclei letters 2017-11, Vol.14 (6), p.865-873
Main Authors: Dedovich, T. G., Tokarev, M. V.
Format: Article
Language:English
Subjects:
Fractals
Particle and Nuclear Physics
Physics
Physics and Astronomy
Physics of Elementary Particles and Atomic Nuclei. Theory
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Summary:An analysis of a data set containing fractals and background events is carried out using the method of the equation system of P-adic coverings ( SePaC ) and by the box-counting ( BC ) method. The peculiarities of these methods applied to the search for fractals in sets containing only fractals and background events are studied. Procedures allowing one to establish the presence of fractals, estimate their number in the initial set, separate fractals, and evaluate the portion of background events in the extracted set are suggested. A comparison of the result of an analysis of mixed events by these methods is carried out.
ISSN:1547-4771
1531-8567
DOI:10.1134/S1547477117060127