Physics of Particles and Nuclei Letters

, Volume 14, Issue 6, pp 865–873 | Cite as

Fractal reconstruction in the presence of background events

Physics of Elementary Particles and Atomic Nuclei. Theory

Abstract

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.

Keywords

self-similarity fractal dimension parton shower 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Joint Institute for Nuclear ResearchDubnaRussia

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