Analysis of Fractals with Dependent Branching by Box Counting, P-Adic Coverages, and Systems of Equations of P-Adic Coverages

被引：0

作者：

Dedovich, T. G. ^{[1
]}

Tokarev, M. V. ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Moscow 141980, Russia

来源：

PHYSICS OF PARTICLES AND NUCLEI LETTERS | 2013年 / 10卷 / 06期

关键词：

D O I：

10.1134/S1547477113060083

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

emphasized that the dimension of a discrete space can be defined based on the Hausdorff measure. The noninteger dimension is a typical characteristic of a fractal. The process of hadron formation in interactions between high-energy particles and nuclei is supposed to possess fractal properties. The following methods for analyzing fractals are considered: box counting (BC), method of P-adic coverages (PaC), and method of systems of equations of P-adic coverages (SePaC), for determining the fractal dimension. A comparative analysis of fractals with dependent branching is performed using these methods. We determine the optimum values of parameters permitting one to determine the fractal dimension DF, number of levels Nlev, and the fractal structure with maximal efficiency. It is noted that the SePaC method has advantages in analyzing fractals with dependent branching.

引用

页码：491 / 500

页数：10

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