Euclidean self-similar sets generated by geometrically independent sets

被引：2
|
作者：
Chiang, Y. [1 ]
Wang, Y. S. [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 12期
关键词：
iterated function systems; attractors; self-similar sets;
D O I：
10.1016/j.topol.2007.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For every integer n > 0, we consider all iterated function systems generated by n + 1 Euclidean similarities acting on R-n whose fixed points form the set of vertices of an n-simplex, and characterize the nature of attractors of such iterated function systems in terms of contractivity factors of their generators. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2376 / 2390
页数：15
相关论文
共 50 条
  • [11] On continuous images of self-similar sets
    Li, Yuanyuan
    Fan, Jiaqi
    Gu, Jiangwen
    Zhao, Bing
    Jiang, Kan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)
  • [12] Homogeneous Kernels and Self-Similar Sets
    Chousionis, Vasileios
    Urbanski, Mariusz
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2015, 64 (02) : 411 - 431
  • [13] On univoque points for self-similar sets
    Baker, Simon
    Dajani, Karma
    Jiang, Kan
    FUNDAMENTA MATHEMATICAE, 2015, 228 (03) : 265 - 282
  • [14] Estimating the Hausdorff dimensions of univoque sets for self-similar sets
    Chen, Xiu
    Jiang, Kan
    Li, Wenxia
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2019, 30 (05): : 862 - 873
  • [15] Self-similar Sets as Hyperbolic Boundaries
    Lau, Ka-Sing
    Wang, Xiang-Yang
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (04) : 1777 - 1795
  • [16] Arithmetic progressions in self-similar sets
    Xi, Lifeng
    Jiang, Kan
    Pei, Qiyang
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (05) : 957 - 966
  • [17] On a self-embedding problem for self-similar sets
    Xiao, Jian-ci
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (10) : 3002 - 3011
  • [18] Subshifts of finite type and self-similar sets
    Jiang, Kan
    Dajani, Karma
    NONLINEARITY, 2017, 30 (02) : 659 - 686
  • [19] Hausdorff dimension of self-similar sets with overlaps
    Deng QiRong
    Harding, John
    Hu TianYou
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (01): : 119 - 128
  • [20] Sums of two self-similar Cantor sets
    Takahashi, Yuki
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 477 (01) : 613 - 626
12345