Acta mathematica scientia,Series A

• Articles • Previous Articles     Next Articles

The Hausdorff Dimension of Generalized Statistically Self Similar Sets

 DENG Ai-Jiao, HU Di-He   

  1. 武汉大学数学与统计学院  湖北武汉 430072
  • Online:2003-10-25 Published:2003-10-25
  • Supported by:

    湖北省自然科学基金(课题编号:201130486)、国家自然科学基金和武汉大学创新基金资助项目

Abstract:

In this paper the authors study further the fractal properties of generalized statistically self similar sets that they constructed in [1]. The authors get  the Hausdorff dimension and the exact Hausdorff measure function for this class of sets. Their results ex tended the corrsponding conclusions of [4].

Key words: Generalized statistically self similar set, Hausdorff d imension, Exact Hausdorff measure function.

CLC Number: 

  • 60G10
Trendmd