Criteria of Fractal Reconstruction and Suppressing Background Events with the SePaC Method

This work analyzes the $$SePaC$$ method of fractals and various background events (mixed, random, and distributed according to Gauss’s law, as well as by power and exponential laws) in order to search and reconstruct fractal structures. It is shown that some of the background events are reconstucted as fractals. Dimensional distributions of various events are considered. It is found that these distributions for fractals and background events are different. Characteristics are proposed that describe the features of fractal structures. They are compared for fractals and background events. Criteria for background suppression are proposed and the results of their application are presented. It is found that the application of the criteria changes the distribution of background events by dimension, and the use of a combination of criteria suppresses the background.