Physics of Elementary Particles and Atomic Nuclei. Theory
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.
self-similarity fractal dimension parton shower
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T. Dedovich and M. Tokarev, “P-adic coverage method in fractal analysis of showers,” Phys. Part. Nucl. Lett. 8, 521–532 (2011).CrossRefGoogle Scholar
T. Dedovich and M. Tokarev, “Method of systems of the equations of p-adic coverages for fractal analysis of events,” Phys. Part. Nucl. Lett. 9, 552–566 (2012).CrossRefGoogle Scholar
T. Dedovich and M. Tokarev, “Comparision of fractal analysis methods in the study of fractals with independent branching,” Phys. Part. Nucl. Lett. 10, 481–490 (2013).CrossRefGoogle Scholar
T. Dedovich and M. Tokarev, “Analysis of fractal with dependent branching by box counting, p-adic coverages and system of equations of p-adic coverages,” Phys. Part. Nucl. Lett. 10, 491–500 (2013).CrossRefGoogle Scholar
T. Dedovich and M. Tokarev, “Analysis of fractals with combined partition,” Phys. Part. Nucl. Lett. 13, 169–177 (2016).CrossRefGoogle Scholar
T. Dedovich and M. Tokarev, “A two-step procedure of fractal analysis,” Phys. Part. Nucl. Lett. 13, 178–189 (2016).CrossRefGoogle Scholar
B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).MATHGoogle Scholar