sierpiŃski地毯骨架网络的Hausdorff维数

IF 3.3 3区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-11-08 DOI:10.1142/s0218348x2350127x

QINGCHENG ZENG, LIFENG XI

引用次数: 0

摘要

通过自相似和归纳法得到Sierpiński地毯骨架网络的Hausdorff维数，该维数不会触及网络。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

HAUSDORFF DIMENSION OF SKELETON NETWORKS OF SIERPIŃSKI CARPET

We obtain the Hausdorff dimension of the skeleton networks of Sierpiński carpet by the self-similarity and induction, which will not touch networks.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Fractals-Complex Geometry Patterns and Scaling in Nature and Society 数学-数学跨学科应用

CiteScore

7.40

自引率

23.40%

发文量

319

审稿时长

>12 weeks

期刊介绍： The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development and applications in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, engineering and technology, and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes. Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality. The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.