数学物理学报 ›› 1997, Vol. 17 ›› Issue (S1): 162-167.

• 论文 • 上一篇    下一篇

THE HAUSDORFF DIMENSION AND MEASURE IN GENERALIZED GEOMETRIC GRAPH DIRECTED CONSTRUCTION

苏峰, 赵兴球   

  1. Department of Mathematics, Hubei University, Wuhan 430062, China
  • 出版日期:1997-12-26 发布日期:1997-12-26
  • 基金资助:
    Project Supported by the National Natural Science Foundation of China, Project Supported by the Natural Science Foundation of Hubei Province. 19771031.

THE HAUSDORFF DIMENSION AND MEASURE IN GENERALIZED GEOMETRIC GRAPH DIRECTED CONSTRUCTION

Su Feng, Zhao Xingqiu   

  1. Department of Mathematics, Hubei University, Wuhan 430062, China
  • Online:1997-12-26 Published:1997-12-26
  • Supported by:
    Project Supported by the National Natural Science Foundation of China, Project Supported by the Natural Science Foundation of Hubei Province. 19771031.

摘要: Abthors introduce the notation of generalized geometric constructions in Rm generated by a directed graph G and by a sequence of similarity ratios which are labelled with the edges of this graph. In this paper, it is obtained the Hausdorff dimension and measure of this construction object for some cases.

关键词: Hausdorff dimension, Hausdorff measure, generalized graph dirceted con-struction

Abstract: Abthors introduce the notation of generalized geometric constructions in Rm generated by a directed graph G and by a sequence of similarity ratios which are labelled with the edges of this graph. In this paper, it is obtained the Hausdorff dimension and measure of this construction object for some cases.

Key words: Hausdorff dimension, Hausdorff measure, generalized graph dirceted con-struction