THE STRUCTURE AND APPROXIMATION OF A.S. SELF-SIMILAR SET

被引:2
|
作者
胡迪鹤
机构
[1] College of Mathematics and Statistics
[2] Wuhan University Wuhan 430072
[3] China
关键词
a.s. self-similar set; Hausdorff metric; fixed point; structure; approximation;
D O I
暂无
中图分类号
O189.3 [解析拓扑学];
学科分类号
070104 ;
摘要
The structure of any a.s. self-similar set K(w) generated by a class of random elements {gn,wσ} taking values in the space of contractive operators is given and the approximation of K(w) by the fixed points {Pn,wσ} of {gn,ow} is obtained. It is useful to generate the fractal in computer.
引用
收藏
页码:201 / 207
页数:7
相关论文
共 50 条
  • [21] Self-similar structure shell model
    Kao Neng Wu Li Yu Ho Wu Li, 4 (333-340):
  • [22] Self-similar structures and fractal transforms in approximation theory
    Yukalov, VI
    Yukalova, EP
    CHAOS SOLITONS & FRACTALS, 2002, 14 (06) : 839 - 861
  • [23] On the linear structure of self-similar processes
    Nuzman, CJ
    Poor, HV
    2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2000, : 498 - 498
  • [24] Self-similar structure shell model
    Wang, ZD
    Zhang, XD
    Wang, XC
    Wang, XB
    HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION, 1998, 22 (04): : 333 - 340
  • [25] SPECTRAL CHARACTERISTICS OF ANHARMONIC MODELS IN SELF-SIMILAR APPROXIMATION
    YUKALOV, VI
    YUKALOVA, EP
    LASER PHYSICS, 1995, 5 (01) : 154 - 169
  • [26] Shrinkable Self-Similar Structure Design
    Yamamoto, Yohei
    Mitani, Jun
    JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME, 2022, 14 (04):
  • [27] Approximation of Distributions in the Problems of the Analysis of Self-Similar Traffic
    Kartashevskiy, Vyacheslav
    Kireeva, Natalia
    Buranova, Marina
    Chupakhina, Liliia
    2016 THIRD INTERNATIONAL SCIENTIFIC-PRACTICAL CONFERENCE PROBLEMS OF INFOCOMMUNICATIONS SCIENCE AND TECHNOLOGY (PIC S&T), 2016, : 105 - 108
  • [28] SPHERICAL ANHARMONIC-OSCILLATOR IN SELF-SIMILAR APPROXIMATION
    YUKALOVA, EP
    YUKALOV, VI
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (08): : 2011 - 2019
  • [29] Rates of convergence towards the boundary of a self-similar set
    Olsen, L.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2007, 19 (04) : 799 - 811
  • [30] A self-similar aperiodic set of 19 Wang tiles
    Labbe, Sebastien
    GEOMETRIAE DEDICATA, 2019, 201 (01) : 81 - 109