Analysis of fractals with dependent branching by using BC, PaC and SePaC methods

The concept of space-time dimension in general relativity and quantum theory is briefly discussed. It is noted that the dimension of a discrete space can be determined based on the Hausdorff measure. A fractional dimension is a typical characteristic of a fractal. The formation of hadrons in the interactions of particles and nuclei at high energies is assumed to have fractal properties. The methods of fractal analysis as Box Counting (BC), P-adic Coverage (PaC) and Systems of Equations of P-adic Coverage (SePaC) methods, are used to determine the fractal dimension. A comparative analysis of reconstruction of fractals with dependent branching is performed by these methods. The optimal values of parameters of the methods are determined. They allow us to find the fractal dimension, number of levels and structure of the fractal with maximum efficiency. It is noted that the SePaC method has advantages to the BC and PaC methods for analysis of fractals with dependent branching