THE FRACTAL DIMENSION OF RESTRICTED BRANCHED RANDOM FRACTAL | Zendy

Liang Yi-ping | Zendy; JIANG YI-CHU | Zendy

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THE FRACTAL DIMENSION OF RESTRICTED BRANCHED RANDOM FRACTAL

Author(s) -

Liang Yi-ping,

JIANG YI-CHU

Publication year - 1997

Publication title -

acta physica sinica

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.

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