Open AccessTHE FRACTAL DIMENSION OF RESTRICTED BRANCHED RANDOM FRACTAL
Author(s) -
Yuanhong Liang,
Jiang Yi-Chu
Publication year - 1997
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.46.486
Subject(s) - fractal , fractal dimension on networks , fractal dimension , statistical physics , multifractal system , fractal landscape , fractal derivative , mathematics , correlation dimension , fractal analysis , mathematical analysis , physics
The concept of restricted-branched random fractal is suggested and the fractal dimension has been calculated with the statistical theory of branched random growth.The result shows that the fractal dimension of ideal random-fractal would be between 2 and 4.Finally,a discussion about the linear degree of random fractal shows how it is related to the anisotropy of the interactions in physical systems.