HAUSDORFF DIMENSION OF GENERALIZED STATISTICALLY SELF-AFFINE FRACTALS

作     者：余旌胡 丁立新 Yu JinghuWuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, ChinaE-mail: yujhQwipm.ac.cnDing Lixin State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China

作者机构：Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan 430071 China State Key Laboratory of Software Engineering Wuhan University Wuhan 430072 Chinahe authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models. 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2004年第24卷第3期

页      面：421-433页

核心收录：

学科分类：07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：This research is partly supported by NNSF of China (60204001) the Youth Chengguang Project of Science and Technology of Wuhan City (20025001002) 

主　　题：Self-affine contraction map statistically recursive set statistically self-affine set Hausdorff measure Hausdorff dimension singular value function 

摘      要：The authors consider generalized statistically self-affine recursive fractals K with random numbers of subsets on each level. They obtain the Hausdorff dimensions of K without considering whether the subsets on each level are non-overlapping or not. They also give some examples to show that many important sets are the special cases of their models.