Weak separation properties for self-similar sets

被引：89
|
作者：
Zerner, MPW
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 11期
关键词：
self-similar sets; fractals; weak separation property;
D O I：
10.1090/S0002-9939-96-03527-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a theory for self-similar sets in R(s) that fulfil the weak separation property of Lau and Ngai, which is weaker than the open set condition of Hutchinson.
引用
收藏
页码：3529 / 3539
页数：11
相关论文
共 50 条
  • [11] 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
  • [12] On singularity of energy measures on self-similar sets
    Masanori Hino
    Probability Theory and Related Fields, 2005, 132 : 265 - 290
  • [13] Self-similar sets in complete metric spaces
    Schief, A
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (02) : 481 - 490
  • [14] The dimensions of the divergence points of self-similar measures with weak separation condition
    Zhou, Xiaoyao
    Chen, Ercai
    MONATSHEFTE FUR MATHEMATIK, 2017, 183 (02): : 379 - 391
  • [15] Arithmetic progressions in self-similar sets
    Lifeng Xi
    Kan Jiang
    Qiyang Pei
    Frontiers of Mathematics in China, 2019, 14 : 957 - 966
  • [16] BILIPSCHITZ EMBEDDING OF SELF-SIMILAR SETS
    Deng, Juan
    Wen, Zhi-Ying
    Xiong, Ying
    Xi, Li-Feng
    JOURNAL D ANALYSE MATHEMATIQUE, 2011, 114 : 63 - 97
  • [17] Trigonometric series and self-similar sets
    Li, Jialun
    Sahlsten, Tuomas
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2022, 24 (01) : 341 - 368
  • [18] 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)
  • [19] Homogeneous Kernels and Self-Similar Sets
    Chousionis, Vasileios
    Urbanski, Mariusz
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2015, 64 (02) : 411 - 431
  • [20] On univoque points for self-similar sets
    Baker, Simon
    Dajani, Karma
    Jiang, Kan
    FUNDAMENTA MATHEMATICAE, 2015, 228 (03) : 265 - 282
12345