A vectorial multifractal formalism

被引:0
|
作者
Peyrière, J [1 ]
机构
[1] Univ Paris 11, CNRS, UMR 8628, F-91405 Orsay, France
关键词
Hausdorff measure; Hausdorff dimension; packing measure; packing dimension; multifractal;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We develop a formalism to perform the multifractal analysis of vector valued functions of balls in a metric space.
引用
收藏
页码:217 / 230
页数:14
相关论文
共 50 条
  • [21] Multifractal formalism and anisotropic selfsimilar functions
    Ben Slimane, M
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1998, 124 : 329 - 363
  • [22] MULTIFRACTAL FORMALISM FOR INFINITE MULTINOMIAL MEASURES
    RIEDI, RH
    MANDELBROT, BB
    [J]. ADVANCES IN APPLIED MATHEMATICS, 1995, 16 (02) : 132 - 150
  • [23] REMARKS ON THE COVARIANT HAMILTONIAN FORMALISM FOR VECTORIAL FIELDS
    LIOTTA, RS
    [J]. NUOVO CIMENTO, 1959, 14 (02): : 442 - 447
  • [24] Theory, Analyses and Predictions of Multifractal Formalism and Multifractal Modelling for Stroke Subtypes' Classification
    Karaca, Yeliz
    Baleanu, Dumitru
    Moonis, Majaz
    Zhang, Yu-Dong
    [J]. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2020, PT II, 2020, 12250 : 410 - 425
  • [25] ON THE MULTIFRACTAL FORMALISM FOR BERNOULLI PRODUCTS OF INVERTIBLE MATRICES
    Bhouri, Imen
    Tlili, Houssem
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 24 (04): : 1129 - 1145
  • [26] A WAVELET MULTIFRACTAL FORMALISM FOR SIMULTANEOUS SINGULARITIES OF FUNCTIONS
    Aouidi, Jamil
    Ben Mabrouk, Anouar
    Ben Slimane, Mourad
    [J]. INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2014, 12 (01)
  • [27] VALIDITY of the multifractal formalism under the box condition
    Bahroun, Fadhila
    [J]. CHAOS SOLITONS & FRACTALS, 2015, 77 : 64 - 71
  • [28] A Multifractal Formalism for Hewitt-Stromberg Measures
    Attia, Najmeddine
    Selmi, Bilel
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (01) : 825 - 862
  • [29] Multifractal spectrum and thermodynamical formalism of the Farey tree
    Piacquadio, M
    Cesaratto, E
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (05): : 1331 - 1358
  • [30] Baire generic results for the anisotropic multifractal formalism
    Ben Slimane, Mourad
    Ben Braiek, Hnia
    [J]. REVISTA MATEMATICA COMPLUTENSE, 2016, 29 (01): : 127 - 167