INTEGRATED WAVELETS ON FRACTAL SETS .2. THE GENERALIZED DIMENSIONS

被引:15
|
作者
GHEZ, JM [1 ]
VAIENTI, S [1 ]
机构
[1] CTR PHYS THEOR,F-13288 MARSEILLE,FRANCE
关键词
D O I
10.1088/0951-7715/5/3/011
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the integrated wavelet transform, recently introduced to compute the correlation dimension of fractal sets, can be generalized to obtain the whole spectrum of generalized dimensions, The theoretical results are illustrated with numerical applications.
引用
收藏
页码:791 / 804
页数:14
相关论文
共 50 条
  • [1] INTEGRATED WAVELETS ON FRACTAL SETS .1. THE CORRELATION DIMENSION
    GHEZ, JM
    VAIENTI, S
    [J]. NONLINEARITY, 1992, 5 (03) : 777 - 790
  • [2] The Fractal Dimensions of the Level Sets of the Generalized Iterated Brownian Motion
    Tong, Chang-qing
    Lin, Zheng-yan
    Zheng, Jing
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (03): : 597 - 602
  • [3] The fractal dimensions of the level sets of the generalized iterated Brownian motion
    Chang-qing Tong
    Zheng-yan Lin
    Jing Zheng
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2013, 29 : 597 - 602
  • [4] The Fractal Dimensions of the Level Sets of the Generalized Iterated Brownian Motion
    Changqing TONG
    Zhengyan LIN
    Jing ZHENG
    [J]. Acta Mathematicae Applicatae Sinica(English Series)., 2013, 29 (03) - 602
  • [5] The Fractal Dimensions of the Level Sets of the Generalized Iterated Brownian Motion
    Chang-qing TONG
    Zheng-yan LIN
    Jing ZHENG
    [J]. Acta Mathematicae Applicatae Sinica, 2013, (03) : 597 - 602
  • [6] Fractal dimensions for dissipative sets
    Stratmann, B
    Vogt, R
    [J]. NONLINEARITY, 1997, 10 (02) : 565 - 577
  • [7] SPECTRA OF GRAPHS AND FRACTAL DIMENSIONS .2.
    TELCS, A
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 1995, 8 (01) : 77 - 96
  • [8] FRACTAL STRUCTURE OF THE EQUILIBRIUM CRYSTAL SHAPE .2. FRACTAL DIMENSIONS
    BURKOV, SE
    [J]. JOURNAL DE PHYSIQUE LETTRES, 1985, 46 (17): : L805 - L810
  • [9] Lower dimensions of some fractal sets
    Chen, Haipeng
    Wu, Min
    Wei, Chun
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (02) : 1022 - 1036
  • [10] CLASSIFYING CANTOR SETS BY THEIR FRACTAL DIMENSIONS
    Cabrelli, Carlos A.
    Hare, Kathryn E.
    Molter, Ursula M.
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (11) : 3965 - 3974